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Journal articles on the topic 'Optimisation by simplex method'

Author: Grafiati
Published: 24 April 2022

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1

Bellezza, Ivo. "Optimisation of landfill volume by the simplex method." Engineering Computations 21, no. 1 (2004): 53–65. http://dx.doi.org/10.1108/02644400410511837.

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2

Clayton, R. P., and R. F. Martinez-Botas. "Application of generic algorithms in aerodynamic optimisation design procedures." Aeronautical Journal 108, no. 1090 (2004): 611–20. http://dx.doi.org/10.1017/s0001924000000440.

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AbstractDirect optimisation techniques using different methods are presented and compared for the solution of two common flows: a two dimensional diffuser and a drag minimisation problem of a fixed area body. The methods studied are a truncated Newton algorithm (gradient method), a simplex approach (direct search method) and a genetic algorithm (stochastic method). The diffuser problem has a known solution supported by experimental data, it has one design performance measure (the pressure coefficient) and two design variables. The fixed area body also has one performance measure (the drag coefficient), but this time there are four design variables; no experimental data is available, this computation is performed to assess the speed/progression of solution.In all cases the direct search approach (simplex method) required significantly smaller number of evaluations than the generic algorithm method. The simplest approach, the gradient method (Newton) performed equally to the simplex approach for the diffuser problem but it was unable to provide a solution to the four-variable problem of a fixed area body drag minimisation. The level of robustness obtained by the use of generic algorithm is in principle superior to the other methods, but a large price in terms of evaluations has to be paid.
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Siemek, Jakub, and Jerzy Stopa. "Optimisation of the wells placement in gas reservoirs using SIMPLEX method." Journal of Petroleum Science and Engineering 54, no. 3-4 (2006): 164–72. http://dx.doi.org/10.1016/j.petrol.2006.08.013.

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4

Zde Zar, U. "Simple Optimisation Method in Mammography." Radiation Protection Dosimetry 90, no. 1 (2000): 221–23. http://dx.doi.org/10.1093/oxfordjournals.rpd.a033124.

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5

Da Costa, Julyane Karolyne Teixeira, Karina Gomes Angilelli, Kelly Roberta Spacino, Elisangela Tavares Da Silva, Livia Ramazzoti Chanan Silva, and Dionisio Borsato. "APPLICATION OF THE MULTIRESPONSE OPTIMISATION SIMPLEX METHOD TO THE BIODIESEL - B100 OBTAINING PROCESS." Semina: Ciências Exatas e Tecnológicas 37, no. 1 (2016): 107. http://dx.doi.org/10.5433/1679-0375.2016v37n1p107.

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<p>O processo de obtenção de biodiesel B100, a partir da transesterificação em meio básico, de uma mistura de óleo vegetal e gordura animal foi otimizado utilizando o método simplex supermodificado. Para otimização simultânea foram usados como respostas o rendimento, custo, estabilidade oxidativa e ponto de entupimento de filtro a frio (CFPP), e os limites foram estabelecidos de acordo com os dados experimentais e os parâmetros de conformidade estabelecidos pela legislação. A otimização multirresposta utilizando as equações preditivas, obtidas a partir do delineamento simplex-centroide acopladas às funções de desejabilidade, apresentou uma formulação ótima contendo 38,84% de óleo de soja, 21,90 % de sebo bovino e 39,25 % de gordura de ave com rendimento de 94,94 %, estabilidade oxidativa a 110 ºC de 8,99 horas, CFPP de 2,83 ºC e custo de US$ 864,60. A validação mostrou não haver diferença significativa entre os valores preditos e os valores experimentais. O delineamento de mistura e a otimização simplex-centroide se mostraram metodologias eficazes na obtenção de biodiesel B100, usando uma mistura de diferentes matérias-primas.</p>
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Chmielewski, Tomasz, Tomasz Kuczek, and Piotr Oramus. "Optimisation of electric arc model parameters based on simplex annealing and genetic algorithms." MATEC Web of Conferences 252 (2019): 05001. http://dx.doi.org/10.1051/matecconf/201925205001.

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This paper presents the method for obtaining the coefficients of the dynamic Cassie-Mayr electric arc model by means of annealing and genetic optimisation algorithms. The extraction of the coefficients can be obtained by means of the iterative fitting process based on e.g. multiple measurements results. However, this requires a significant effort and can generate significant costs. The approach presented in this paper relies solely on simulations. The methodology used herein consists in finding the match to the maximum produced TRV generated during high-voltage shunt reactor current breaking, for ideal switch and conductance based Cassie-Mayr circuit breaker models. This is done for a given chopping current value assigned to the ideal switch which is used as a target. The arc model coefficients are obtained by means of the optimisation process for various values of the desired chopping current level to be reflected by the Cassie-Mayr conductance-based electric arc model. As a result, an advanced conductance based model can be used for assessment of switching overvoltage. Genetic and simplex annealing algorithms have been selected for optimisation. The models as well as the optimisation process were conducted in EMTP-ATP software using its built-in functionalities. The article presents the error assessment and sample traces.
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Vivaldi, Valentina, Sara Sommariva, and Alberto Sorrentino. "A simplex method for the calibration of a MEG device." Communications in Applied and Industrial Mathematics 10, no. 2 (2019): 35–46. http://dx.doi.org/10.2478/caim-2019-0005.

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Abstract MagnetoEncephaloGraphy (MEG) devices are helmet–shaped arrays of sensors that measure the tiny magnetic fields produced by neural currents. As they operate at low temperature, they are typically immersed in liquid helium. However, during the cooling process the sensor position and shape can change, with respect to nominal values, due to thermal stress. This implies that an accurate sensor calibration is required before a MEG device is utilized in either neuroscientific research or clinical workflow. Here we describe a calibration scheme developed for the optimal use of a MEG system recently realized at the “Istituto di Cibernetica e Biofisica” of the Italian CNR. To achieve the calibration goal a dedicated magnetic source is used (calibration device) and the geometric parameters of the sensors are determined through an optimisation procedure, based on the Nelder-Mead algorithm, which maximises the correlation coefficient between the predicted and the recorded magnetic field. Then the sensitivity of the sensors is analytically estimated. The developed calibration procedure is validated with synthetic data mimicking a real scenario.
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8

Lampart, Piotr, Łukasz Witanowski, and Piotr Klonowicz. "Efficiency Optimisation of Blade Shape in Steam and ORC Turbines." Mechanics and Mechanical Engineering 22, no. 2 (2020): 553–64. http://dx.doi.org/10.2478/mme-2018-0044.

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AbstractThis paper is devoted to direct constrained optimisation of blading systems of large power and small power turbines so as to increase their internal efficiency. The optimisation is carried out using hybrid stochastic-deterministic methods such as a combination of a direct search method of Hooke-Jeeves and simulated annealing or a combination of a bat algorithm and simplex method of Nelder-Mead. Among free shape parameters are blade number and stagger angle, stacking blade line parameters and blade section (profile) parameters.One practical example of efficiency optimisation of turbine blading systems is modification of low load profiles PLK-R2 for high pressure (HP) stages of large power steam turbines. Another optimised geometry is that of an ORC radial-axial cogeneration turbine of 50 kWe. Up to 1% efficiency increase can easily be obtained from optimisation of HP blade profiles, especially by making the rotor blade more aft-loaded and reducing the intensity of endwall flows. Almost 2% efficiency rise was obtained for the optimised 50 kWe ORC turbine due to flow improvement at the suction side of the blade.
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9

Curt, C., I. Allais, N. Perrot, V. Leblanc, and G. Trystram. "Optimisation of the meat emulsification process using at-line human evaluations and the Simplex method." Journal of Food Engineering 64, no. 1 (2004): 33–41. http://dx.doi.org/10.1016/j.jfoodeng.2003.09.010.

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10

Niegodajew, Paweł, Maciej Marek, Witold Elsner, and Łukasz Kowalczyk. "Power Plant Optimisation—Effective Use of the Nelder-Mead Approach." Processes 8, no. 3 (2020): 357. http://dx.doi.org/10.3390/pr8030357.

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This paper demonstrates the use of a combined software package including IPSEpro and MATLAB in the optimisation of a modern thermal cycle. A 900 MW power plant unit (operating at ultra-supercritical conditions) was considered as the study object. The Nelder-Mead simplex-based, direct search method was used to increase power plant efficiency and to find the optimal thermal cycle configuration. As the literature reveals, the Nelder-Mead approach is very sensitive to the simplex size and to the choice of method coefficients, i.e., reflection, expansion and contraction. When these coefficients are improperly chosen, the finding of the optimal solution cannot be guaranteed, particularly in such complex systems as thermal cycles. Hence, the main goal of the present work was to demonstrate the capability of an integrated software package including IPSEpro, MATLAB and MS Excel in the optimisation process of a complex thermal cycle, as well as to examine the effectiveness of the most popular sets of Nelder-Mead coefficients previously proposed by other researchers. For the investigation purposes, the bleed and outlet pressures from the turbines were considered as decision variables, and the power plant efficiency was used as an objective function.
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Šeruga, Domen, and Marko Nagode. "Comparative analysis of optimisation methods for linking material parameters of exponential and power models: An application to cyclic stress–strain curves of ferritic stainless steel." Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications 233, no. 9 (2018): 1802–13. http://dx.doi.org/10.1177/1464420718790829.

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The four most commonly used optimisation methods for linking the material parameters of an exponential Armstrong–Frederick and a power Ramberg–Osgood model are compared for given cyclic stress–strain curves of a ferritic stainless steel EN 1.4512. These methods are the damped Gauss–Newton method, the Levenberg–Marquardt method, the Downhill Simplex method and a genetic algorithm. Globally optimal material parameters are obtained by parallel searches within the methods. The methods are tested for cyclic curves at 20 ℃, 300 ℃, 650 ℃ and 850 ℃. The optimal values of material parameters and R2 values are comparable, whereas the search paths, the numbers of steps to reach optimal solutions and the processing time of the methods differ.
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12

Kamola, Mariusz. "Hybrid Approach to Design Optimisation: Preserve Accuracy, Reduce Dimensionality." International Journal of Applied Mathematics and Computer Science 17, no. 1 (2007): 53–71. http://dx.doi.org/10.2478/v10006-007-0006-3.

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Hybrid Approach to Design Optimisation: Preserve Accuracy, Reduce DimensionalityThe paper proposes a design procedure for the creation of a robust and effective hybrid algorithm, tailored to and capable of carrying out a given design optimisation task. In the course of algorithm creation, a small set of simple optimisation methods is chosen, out of which those performing best will constitute the hybrid algorithm. The simplicity of the method allows implementing ad-hoc modifications if unexpected adverse features of the optimisation problem are found. It is postulated to model a system that is smaller but conceptually equivalent, whose model is much simpler than the original one and can be used freely during algorithm construction. Successful operation of the proposed approach is presented in two case studies (power plant set-point optimisation and waveguide bend shape optimisation). The proposed methodology is intended to be used by those not having much knowledge of the system or modelling technology, but having the basic practice in optimisation. It is designed as a compromise between brute force optimisation and design optimisation preceded by a refined study of the underlying problem. Special attention is paid to cases where simulation failures (regardless of their nature) form big obstacles in the course of the optimisation process.
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13

Anil, Rana, Ajit Verma, and A. S. Srividya. "Optimisation of production machine scheduling using a two level mixed optimisation method." Yugoslav Journal of Operations Research 20, no. 2 (2010): 197–212. http://dx.doi.org/10.2298/yjor1002197a.

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This paper presents an application of a two level mixed optimization method on a machine scheduling problem of a government owned machine shop. Where evolutionary algorithm methods are suitable for solving complex, discrete space, and non-linear, discontinuous optimization problems; classical direct-search optimization methods are suitable and efficient in handling simple unimodal problems requiring less computation. Both methods are used at two levels, the first level decides which machines to be used for the machining operations and how much overtime (at extra cost) to be allotted to each work order, the second level decides for which operation and on which day the overtime should be allotted so as to attain its maximum benefit. A sample problem has been solved by using the above methods and a range of non-dominated solutions have been presented in a tabular form to enable the production manager to choose his options based on the given criticality of the work order.
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14

Ha, Manh Hung, Viet Hung Truong, and Minh Phuong Nguyen. "Rao algorithm-based method for optimisation of steel frames using nonlinear inelastic analysis." Ministry of Science and Technology, Vietnam 63, no. 8 (2021): 35–39. http://dx.doi.org/10.31276/vjst.63(8).35-39.

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Metaheuristic optimisation algorithms have been increasingly used because of their superior ability to find globally optimal solutions. Theoretically, these algorithms are very powerful and can be applied in all types of optimisation problems. However, in reality, their performance depends on the characteristics of each optimisation problem class. In addition, the complexity of an algorithm is an important factor affecting its application in specific design problems. In this paper, the Rao optimisation algorithm, one of the newest metaheuristic algorithms, is presented for the optimisation algorithm of steel frame structures. The advantage of the Rao algorithm is that it is quite simple with few parameters, so engineers can easily apply it in daily design tasks. A nonlinear inelastic analysis is used to consider the nonlinear behaviors of the steel structure. A two-story space steel frame is studied. The results show that Rao-1 is more stable and converged more quickly but easily trapped in local solutions than Rao-2 and Rao-4. Rao-4 is more efficient in global search but its stability is less than other algorithms. Keywords:nonlinear inelastic analysis, optimisation, Rao algorithm, steel frame.
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15

Nicol, R., P. Smith, and P. R. Raggatt. "The use of the simplex method for the optimisation of non-linear functions on a laboratory microcomputer." Computers in Biology and Medicine 16, no. 2 (1986): 145–52. http://dx.doi.org/10.1016/0010-4825(86)90038-7.

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16

Hajrin, Wahida, Windah Anugrah Subaidah, Yohanes Juliantoni, and Dyke Gita Wirasisya. "Application of Simplex Lattice Design Method on The Optimisation of Deodorant Roll-on Formula of Ashitaba (Angelica keiskei)." Jurnal Biologi Tropis 21, no. 2 (2021): 501. http://dx.doi.org/10.29303/jbt.v21i2.2717.

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Ashitaba is known to have antioxidant activity and gram-positive antibacterial activity that causes body odor. This is the potential activity for an active substance to be developed as deodorant. The appropriate formula is needed, so it is necessary to optimize the formula using the right method. This study aimed was to determine the application of the simplex lattice design method on the optimization of a deodorant roll-on formula of ashitaba extract. Ashitaba was extracted by the maceration method. The formula optimization design was determined using the simplex lattice design method by Design Expert®7.5.1. The components for optimization were the concentration of carbopol and concentration of TEA, and the optimization parameters were the spreadability test, sticky power, and pH test. The optimum formula of deodorant consists of 0.45% carbopol and 2.05% TEA. The responses of optimum formula obtained spreadability test 6.32 ± 0.33 cm, sticky power 44.67 ± 3.94 seconds, and pH 7.73 ± 0.17. These results meet the criteria for good preparation but need further testing related to the effectiveness of the preparation and the level of acceptance of the preparation by the user.
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17

Luangpaiboon, Pongchanun, and Sitthikorn Duangkaew. "Artificial Intelligence Mechanisms on Interactive Modified Simplex Method with Desirability Function for Optimising Surface Lapping Process." Mathematical Problems in Engineering 2014 (2014): 1–16. http://dx.doi.org/10.1155/2014/864586.

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A study has been made to optimise the influential parameters of surface lapping process. Lapping time, lapping speed, downward pressure, and charging pressure were chosen from the preliminary studies as parameters to determine process performances in terms of material removal, lap width, and clamp force. The desirability functions of the-nominal-the-best were used to compromise multiple responses into the overall desirability function level orDresponse. The conventional modified simplex or Nelder-Mead simplex method and the interactive desirability function are performed to optimise online the parameter levels in order to maximise theDresponse. In order to determine the lapping process parameters effectively, this research then applies two powerful artificial intelligence optimisation mechanisms from harmony search and firefly algorithms. The recommended condition of (lapping time, lapping speed, downward pressure, and charging pressure) at (33, 35, 6.0, and 5.0) has been verified by performing confirmation experiments. It showed that theDresponse level increased to 0.96. When compared with the current operating condition, there is a decrease of the material removal and lap width with the improved process performance indices of 2.01 and 1.14, respectively. Similarly, there is an increase of the clamp force with the improved process performance index of 1.58.
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18

Dutta, Joydeep. "On convex vector optimisation." Bulletin of the Australian Mathematical Society 61, no. 1 (2000): 85–88. http://dx.doi.org/10.1017/s0004972700022036.

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In this article we present a simple method to deduce necessary conditions for weak minimisation of a convex vector program in a Banach space. Our main tool here will be the generalised Jabcobian of Ralph.
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Gallant, André, and Clément Gosselin. "PARAMETRIC TRAJECTORY OPTIMISATION FOR INCREASED PAYLOAD." Transactions of the Canadian Society for Mechanical Engineering 40, no. 2 (2016): 125–37. http://dx.doi.org/10.1139/tcsme-2016-0011.

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The load-carrying capacity of manipulators is often considered to be the same throughout their workspace. However, the actual capacity of manipulators largely depends on their posture, their velocity, their acceleration and the limits of their actuators. In this paper, a method is proposed to increase the payload capacity of manipulators through trajectory optimisation. This optimisation is performed on a task basis and therefore, the load-carrying capacity varies from task to task. An extensive analysis of the method is conducted based on its application on a planar RR serial two degree-of-freedom manipulator. This analysis evaluates the ability of the method to find feasible trajectories and compares the results with those obtained using Bang-bang type methods. It is shown that, although the trajectories produced by the proposed method are not time optimal, the method is much more versatile and much simpler to implement than its Bang-bang counterparts.
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20

Rodriguez, P., S. K. Ray, and A. K. Bhaduri. "Optimisation of post-weld heat treatment — A simple, practical method." Sadhana 28, no. 3-4 (2003): 409–30. http://dx.doi.org/10.1007/bf02706441.

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21

Lenzo, Basilio, and Valerio Rossi. "A Simple Mono-Dimensional Approach for Lap Time Optimisation." Applied Sciences 10, no. 4 (2020): 1498. http://dx.doi.org/10.3390/app10041498.

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Lap time minimisation methods have great relevance in the analysis of race tracks, and in the design and optimisation of race vehicles. Several lap time minimisation approaches have been proposed in the literature, which are computationally demanding because they need to either solve differential equations or to implement a forward–backward integration based on an apex-finding method. This paper proposes an alternative method, based on a mono-dimensional quasi-steady-state numerical approach. The proposed approach uses a simplified vehicle model accounting for combined tyre–road interactions, aerodynamic effects, and power limitations. The method exploits the knowledge of the curvature of the trajectory, which is worked out through a rigorous approach that allows for the use trajectories defined with respect to ageneric curve parameter and not necessarily the arc length. An iterative routine is implemented that exploits the vehicle dynamics, without solving differential equations or performing forward–backward integrations from the trajectory apexes. Simulations are carried out on three different tracks and are shown to be computationally efficient. Despite being intentionally simple, the proposed method allows to grasp key aspects of the problem, such as the effect of the combined tyre–road interactions on the acceleration profiles, and the effect of aerodynamic drag and downforce on the position of the braking point on the track and on the speed profile.
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22

Zhdanov, Valery, Elena Logacheva, Viktor Yarosh, and Alexander Ivashina. "Optimisation of repair and maintenance costs for electrical equipment in agricultural enterprises." BIO Web of Conferences 37 (2021): 00103. http://dx.doi.org/10.1051/bioconf/20213700103.

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Application of mathematical methods of cost optimization for repair and maintenance of electrical equipment of agro-industrial enterprises is one of the important and promising directions for increasing the efficiency of electrical equipment operation management in agriculture. Mathematical programming systems use graphical and related attributive information in solving optimization problems. As graphical information in these systems we used maps, plans, diagrams, schedules of preventive measures from which the list of equipment for certain types of repair and maintenance, their labor intensity for individual objects, types of equipment and in total for the enterprise are established. Databases of electrical equipment are used as attributive information to describe electrical equipment of agro-industrial enterprises. Due to joint processing of graphical and attributive information in optimization systems, all stages of work with spatial data are more operative. Beginning from spatial data search, selection and analysis we can make a specific decision during the operation control of electrical equipment. This article considers maintenance and repair operation (MR) as a task of mathematical programming with cost optimization and deals with three approaches to the organization of this task. The expediency of using each method of solution is analyzed. The structural schemes, equations describing mathematical models, advantages and disadvantages of the presented models are given. We marked prospect of using linear programming programs for the decision of the given optimization problem by means of the inverse matrix method, i.e. the modified simplex method and computing algorithm with a standard sequence of operations.
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23

Burn, Kevin, and Chris Cox. "A hands-on approach to teaching system identification using first-order plus dead time modelling of step response data." International Journal of Electrical Engineering & Education 57, no. 1 (2018): 24–40. http://dx.doi.org/10.1177/0020720918813825.

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This paper describes three step response-based system identification methods of increasing complexity, together with a range of exercises that will enhance student understanding of this area in an engaging and practical way. For illustration purposes and practicality, it is assumed that the model to be identified is of the first-order plus dead time type. The first method uses a popular graphical technique, which is easy to understand and apply, but inaccurate when the response data are not ideal. The second uses the Nelder–Mead simplex method, which is a more powerful technique and has the added benefit of introducing undergraduate students to the concepts of numerical optimisation. The third uses an integral equation algorithm. The latter two methods, which can be readily extended to other model structures and input types, are also demonstrated using experimental data obtained from a tank level control system.
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24

Truong, Viet Hung. "Discrete optimisation of steel-concrete composite sections in simple girder bridges." Ministry of Science and Technology, Vietnam 64, no. 1 (2022): 38–43. http://dx.doi.org/10.31276/vjst.64(1).38-43.

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In this study, the optimisation design problem of steel-concrete composite sections in simple girder bridges is developed. Design variables including the thickness of the desk and the dimensions of the girder section are discrete variables to reflect the realistic design works. The total cost of the desk and the steel girder is the objective function that is minimised. The design requirements of the geometry, load-carrying capacity, and deformation provided in the TCVN 11823:2017 standard are used as the optimisation constraints. The above discrete optimisation is solved by using the Harmony Search (HS) algorithm. A 42(m) simple girder is studied. The numerical results show that the optimal designs save about 15% compared to using the conventional design method. It can be concluded that applying the optimisation in the design of steel-concrete composite beams brings high efficiency and it is easily applied in practice.
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25

Vasista, S., and L. Tong. "Topology optimisation via the moving iso-surface threshold method: implementation and application." Aeronautical Journal 118, no. 1201 (2014): 315–42. http://dx.doi.org/10.1017/s0001924000009143.

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AbstractTopology optimisation is a useful tool for the design of aircraft structures. This work details how the new moving iso-surface threshold (MIST) topology optimisation method works and how it can be applied to aircraft structural design. This method has been coupled with commercial finite element analysis software in a simple manner without requiring the modification of the commercial software source code. In this way the user is able to take advantage of the finite element analysis tools such as automatic mesh generation and efficient solving. The extension of the method to 3D designs is also presented. The topology results of a 2D leading-edge rib for stiffness, stress and morphing objectives and a 3D wing skin stringer for stress design demonstrate the functionality of this method.
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Kulfan, B. M. "Recent extensions and applications of the ‘CST’ universal parametric geometry representation method." Aeronautical Journal 114, no. 1153 (2010): 157–76. http://dx.doi.org/10.1017/s0001924000003614.

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Abstract For aerodynamic design optimisation as well as for multidisciplinary design optimisation studies, it is very desirable to limit the number of the geometric design variables. In Ref. 1, a ‘fundamental’ parametric aerofoil geometry representation method was presented. The method included the introduction of a geometric ‘class function/shape function’ transformation technique, CST, such that round nose/sharp aft end geometries as well as other classes of geometries could be represented exactly by analytic well behaved and simple mathematical functions having easily observed physical features. The CST method was shown to describe an essentially limitless design space composed entirely of analytically smooth geometries. In Ref. 2, the CST methodology was extended to more general three dimensional applications such as wing, body, ducts and nacelles. It was shown that any general 3D geometry can be represented by a distribution of fundamental shapes, and that the ‘shape function/class function’ methodology can be used to describe the fundamental shapes as well as the distributions of the fundamental shapes. A number of applications of the ‘CST’ method to nacelles, ducts, wings and bodies were presented to illustrate the versatility of this new methodology. In this paper, the CST method is extended to include geometric warping such as variable camber, simple flap, aeroelastic and flutter deflections. The use of the CST method for geometric morphing of one geometric shape into another is also shown. The use of CST analytic wings in design optimisation will also be discussed.
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Lucas, S. K. "Maximising output from oil reservoirs without water breakthrough." ANZIAM Journal 45, no. 3 (2004): 401–22. http://dx.doi.org/10.1017/s1446181100013456.

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AbstractOften in oil reservoirs a layer of water lies under the layer of oil. The suction pressure due to a distribution of oil wells will cause the oil-water interface to rise up towards the wells. Given a particular distribution of oil wells, we are interested in finding the flow rates of each well that maximise the total flow rate without the interface breaking through to the wells. A method for finding optimal flow rates is developed using the Muskat model to approximate the interface height, and a version of the Nelder-Mead simplex method for optimisation. A variety of results are presented, including the perhaps nonintuitive result that it is better to turn off some oil wells when they are sufficiently close to one another.
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W. Lim, J., and S. Sivaguru. "Chassis Structural Design of Track Racing One Manned Formula Car." International Journal of Engineering & Technology 7, no. 3.32 (2018): 71. http://dx.doi.org/10.14419/ijet.v7i3.32.18396.

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The current work contains the design and optimisation of a spaceframe chassis for a track racing one manned formula car able to participate in the Formula Society of Automotive Engineers (Formula SAE) 2017/2018. Materials, profile cross section types were selected by considering the theories of elastic failure. The structural strength of the chassis was determined by Finite Element Analysis using ABAQUS software by determining the stress distribution during static and dynamic loading in addition to exposing the modal frequencies. Beam elements were used in the finite element model as it provides accurate modelling of small deflection bending responses. A simple baseline chassis design was developed that adheres to the Formula SAE 2017/2018 rules. Optimisations were made in terms of the configuration and material utilisation of the chassis members were done to prevent yielding during the static loading of car components and dynamic loading during acceleration and cornering. Furthermore, the same method of optimisation was used in prevention of the coincidence of natural frequency with the frequency of the engine.
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Ruslili, Ruslili. "PERMODELAN FAKTOR PRODUKSI UNTUK OPTIMALISASI KEUNTUNGAN DI UKM HARAPAN NUNGGAL BENGKULU." BAHTERA : Jurnal Pendidikan Bahasa dan Sastra 14, no. 1 (2015): 90–98. http://dx.doi.org/10.21009/bahtera141.10.

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Abstrak
 Keuntungan yang optimal merupakan tujuan utama dalam setiap usaha. Dengan demikian perusahaan akan dituntut menghasilkan produk-produk secara maksimal dengan penggunaan sumber daya yang dimiliki agar memberikan keuntungan optimal. Perusahaan juga harus memperhatikan setiap perubahan-perubahan yang terjadi, baik dari keuntungan maupun sumber daya yang dimiliki agar tidak mempengaruhi keuntungan optimal perusahaan. Tujuan penelitian ini adalah mengetahui besarnya keuntungan optimal atas penggunaan sumber daya untuk produksi tahu yang dapat diperoleh UKM Harapan Nunggal dengan metode simpleks, dan mengetahui perubahan-perubahan yang masih dapat ditolerir tanpa mengubah keuntungan optimal yang diperoleh. Hasil penelitian dengan berdasarkan perhitungan metode simpleks diperoleh keuntungan optimal apabila UKM Harapan Nunggal memproduksi tahu kecil sebanyak 14.595 potong. Besarnya keuntungan optimal adalah Rp. 729.729,8,- untuk setiap kegiatan produksi per hari. Perubahan yang masih dapat ditolerir tanpa mengubah optimalitas keuntungan adalah dengan melakukan perubahan yang sesuai atau berada dalam rentang kelayakan dalam analisis sensitivitas.
 Kata Kunci: Optimalisasi Keuntungan dan Metode Simpleks
 Abstract
 Getting a big advantage is the main goal in every business. To that end, the company will be required to produce products with the use of maximum resources to provide optimal benefits. Companies must also consider any changes that occur, either from profits or resources optimally so as not to affect corporate profits. The purpose of research is to know the si%e of optimal benefits for the utilisation of resources for the production tofu that can be obtained by SMTLs Harapan Nunggal simplex method, and knowing that changes can still be tolerated without altering the optimal gains obtained. With the assumption of tofu as a product is inelastic, because the price changes that occur will not affect to demand of tofu. The results of research and based on the calculation of the simplex method, optimal benefit is obtained when SMEs Harapan Nunggal produce small tofu as much as 14.595pieces. The amount of maximum profit is Rp. 729.729,8,- for each production activity/ day. And changes can still be tolerated without altering Optimisation profits is to do the appropriate changes or are in the range of feasibility in sensitivity analysis.
 Keywords: Gain Optimisation and Simplex Method
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30

Bratek, P., and A. Kos. "Optimisation of Temperature Fields of Microsystems with Self-Organising Neural Nets." Active and Passive Electronic Components 26, no. 3 (2003): 141–49. http://dx.doi.org/10.1080/1042015031000073850.

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Thermal modelling and optimisation of parameter distributed systems is a rather time-consuming process. In this paper the problem of optimisation of temperature fields of VLSI circuits and systems is attacked by a selforganising neural net. The net directly solves the task generated by a heuristic algorithm. No physical model of thermal phenomena is used. The proposed method is simple. Some examples and statistical results are presented. The proposed method is addressed mostly to large, high-speed system designs.
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31

Jankovic, Dragan, Radomir Stankovic, and Claudio Moraga. "Arithmetic expressions optimisation using dual polarity property." Serbian Journal of Electrical Engineering 1, no. 1 (2003): 71–80. http://dx.doi.org/10.2298/sjee0301071j.

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A method for optimisation of fixed polarity arithmetic expressions (FPAEs) based on dual polarity is proposed. The method exploits a simple relationship between two FPAEs for dual polarities. It starts from the zero polarity FPAE of the given function and calculates all FPAEs using the dual polarity route. Using one-bit check carries out conversion from one FPAE to another. Each term in an FPAE is processed by the proposed processing rule. Terms, which differ in a single position, can be substituted by a high order term (cube). Experimental results show efficiency of proposed method.
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SKORUPKA, Dariusz, Artur DUCHACZEK, and Artur SZLESZYŃSKI. "OPTIMISATION OF SELECTING TRANSPORT MEANS IN BUILDING MATERIALS DEPOT LOGISTICS." Scientific Journal of the Military University of Land Forces 166, no. 4 (2012): 137–45. http://dx.doi.org/10.5604/01.3001.0002.3539.

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The Bellinger’s method presented in the paper is an example of how to use it in depot logistics. The authors focus their considerations on the selection of a forklift which could be used for carrying construction materials collected in a depot. The paper describes a basic assumption of the Bellinger’s technique and then evaluates its advantages and disadvantages. The results of the calculations made with the Bellinger’s method, for example, are compared with the calculations made with the Electre III method. Both of those multi-criteria decision support methods produce a ranking of decision variants. The visualisation of this method is shown in the graph in Figure 1. The best decision variant is put on top of the graph, the worst decision variant is put at its bottom. The graph shows that there are no big differences between those two methods. As a result, one can assume that both of them are useful. However, the Bellinger’s method is far simpler to use than the Electre III method, even by an inexperienced user. The calculation algorithm for the Bellinger's method shown in the paper proves that the method is easy to use.
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Vaidogas, E. R. "ON RELIABILITY-BASED STRUCTURAL OPTIMISATION USING STOCHASTIC QUASIGRADIENT METHODS/ZUR ZUVERLÄSSIGKEITSTHEORETISCH GESTÜTZTEN TRAGWERKS-OPTIMIERUNG MIT VERFAHREN DER STOCHASTISCHEN QUASIGRA-DIENTEN." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 1, no. 2 (1995): 43–64. http://dx.doi.org/10.3846/13921525.1995.10531512.

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Methodical aspects of the reliability-based structural optimisation using stochastic quasigradient methods are considered. For an example of the simply supported reinforced concrete beam, the employment of the Lagrange multiplier method that belongs to the class of stochastic quasigradient methods is demonstrated. The classical optimum design goal to minimise structural cost or weight under the constraint on the structural failure probability is taken for consideration. Optimisation problems solved with the Lagrangemultiplier method are formulated in form of general stochastic programming problem. The mathematical expectation of the concrete volume reduced with respect to the in-place cost of the beam materials is taken as the objective function. Constraint function is the limitation placed on the beam failure probability. The beam is considered as a series structural system. Values of the prescribed allowable failure probability belongs to the interval in which the estimation of the failure probabilities by the simple Monte-Carlomethod is possible with an acceptable confidence. The time-independent case as well as the time-dependent one is considered in the optimisation problems. The generalisation on the time-dependent case is undertaken through the introduction into the constraint function of the quasi-linear distribution law of the random variables. In the time-dependent case, the objective function is associated with beginning and the constraint function with end of the service period. An expression of the stochastic gradient based on the differentiation under the integral sign is used for calculations with the Lagrange multiplier method. The stochastic gradient used is computationally more effective in comparison with stochastic finite-difference formulae usual in stochastic quasigradient methods because it requires only one computation of the structure in search iteration of the optimisation process. Three rules based on statistical argumentation are used for the stopping of the seat according to the procedure of the Lagrange multiplier method. The optimising of the beam shows that the Lagrange multiplier method is applicable for the optimal design of structures in that cases when the structural reliability can be estimated by means of the simple Monte-Carlo method. Additional research is needed for integration in the Lagrange multiplier method of statistical simulation techniques for the estimation of small structural failure probabilities.
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Li, Miqing. "Is Our Archiving Reliable? Multiobjective Archiving Methods on “Simple” Artificial Input Sequences." ACM Transactions on Evolutionary Learning and Optimization 1, no. 3 (2021): 1–19. http://dx.doi.org/10.1145/3465335.

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In evolutionary multiobjective optimisation ( EMO ), archiving is a common component that maintains an (external or internal) set during the search process, typically with a fixed size, in order to provide a good representation of high-quality solutions produced. Such an archive set can be used solely to store the final results shown to the decision maker, but in many cases may participate in the process of producing solutions (e.g., as a solution pool where the parental solutions are selected). Over the last three decades, archiving stands as an important issue in EMO, leading to the emergence of various methods such as those based on Pareto, indicator, or decomposition criteria. Such methods have demonstrated their effectiveness in literature and have been believed to be good options to many problems, particularly those having a regular Pareto front shape, e.g., a simplex shape. In this article, we challenge this belief. We do this through artificially constructing several sequences with extremely simple shapes, i.e., 1D/2D simplex Pareto front. We show the struggle of predominantly used archiving methods which have been deemed to well handle such shapes. This reveals that the order of solutions entering the archive matters, and that current EMO algorithms may not be fully capable of maintaining a representative population on problems with linear Pareto fronts even in the case that all of their optimal solutions can be found.
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Jagannath, Mohan. "Optimisation Design of Six-Bar Double Dwell Mechanisms: A New Approach." Applied Mechanics and Materials 110-116 (October 2011): 5216–22. http://dx.doi.org/10.4028/www.scientific.net/amm.110-116.5216.

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This paper introduces a new approach for me-chanical design of planar six-bar linkages with rotary joints which produce two dwells in each cycle of the input crank. The approach builds on the concept of function generation in a simple manner. The synthesis problem is posed as a single-objective constrained optimisation problem. A genetic algorithm-based optimisation scheme, namely the Non-dominated Sorting Genetic Algorithm-II (NSGA-II) has been used for solving the optimisation problem. The proposed method has been illustrated by means of an example problem from a recent contribution to literature. It is seen that the results compare favourably with the existing work.
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Merklein, Marion, and M. Biasutti. "A Contribution to the Optimisation of a Simple Shear Test." Key Engineering Materials 410-411 (March 2009): 467–72. http://dx.doi.org/10.4028/www.scientific.net/kem.410-411.467.

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The finite element method is a widely used tool in sheet metal forming. The quality of the results of such an analysis depends largely on the applied constitutive model and its material parameters, which have to be determined experimentally. These data are relevant on the choice of the yield criterion among the wide range of options available in the commercial applications implementing the finite element method. Since the accuracy of material parameters estimation is therefore crucial, investigations were performed with an Al-Mg sheet alloy and a mild steel sheet to optimize a Miyauchi-based simple shear test. This method is one of the basic ways to investigate the plastic properties of a sheet metal up to large strains, which is very important for numerical analysis of sheet metal forming processes. Aim of the test is to determine the shear stress-strain correlation. In order to enhance the quality of the experimental results the detection of the deformation’s field, trough an optical measurement system, and the methodology for its evaluation are focus of the present study.
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Kumar, A., G. K. Singh, and R. S. Anand. "A simple method for designing quadrature mirror filter banks via quadratic constrained optimisation." International Journal of Mathematical Modelling and Numerical Optimisation 1, no. 4 (2010): 274. http://dx.doi.org/10.1504/ijmmno.2010.035426.

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Vycital, Vaclav, Michal Ptacek, David Topolanek, and Petr Toman. "On Minimisation of Earthing System Touch Voltages." Energies 12, no. 20 (2019): 3838. http://dx.doi.org/10.3390/en12203838.

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Finding cost efficient earthing system design with acceptable level of safety might be quite tedious work. Thus, many earthing system engineers try to find the most suitable design either by employing only their best experience or taking advantage of some more complex optimisation programs. Although both approaches might work well under certain circumstances, they might fail either due to counter-intuitiveness of the specific situation or by misunderstanding of the applied optimisation method, its limitations etc. Thus, in this paper, the earthing system design optimisation problem was addressed by analysing optimisation simulation results together with conducted sensitivity analysis. In the paper, a simple double ring earthing system was optimised while using five different optimisation methods. The earthing system was placed in different horizontally stratified soil models and the earthing system was optimised by minimising touch voltages instead of commonly minimised earth potential rise. The earthing system was modelled by Ansys Maxwell software. Apart from using Ansys Maxwell built-in optimisers, the possible solution space has also been mapped by performing sensitivity analysis with changing the earthing system design dimensions and the results of optimisation were compared and validated. It was found out that the Sequential Non-Linear Programming Optimisation technique was quite superior to the other techniques. Additionally, in most cases, the Ansys Maxwell optimiser was able to found optimal solution; however, in some cases, based on the initial conditions, it might get stuck in local minima or the results might be influenced by the solution noise. Additionally, some quite non intuitive dependencies of earthing system electrodes positions had been found when different spatial dimensions constraints are used.
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Ismail, Nurul Izza. "Parameter Optimisation for FCϵRIγ Pathway to Two Different Datasets Using Least-Squares Optimisation". Pertanika Journal of Science and Technology 30, № 2 (2022): 1491–526. http://dx.doi.org/10.47836/pjst.30.2.36.

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Syk is a tyrosine kinase important to bridge the receptor ligation and downstream signallings such as Ca2+ and PI3K. Once the cell receptor binds with the ligand, FCϵRIγ (ITAM receptor) is recruited and phosphorylated by Lyn. The phosphorylated ITAM then recruits protein tyrosine kinase (Syk). The previously developed FCϵRIγ (FCϵ) model contained a greater level of complexity. This study aims to build a simple model of signalling of FCϵ that still represents biological understanding. The parameter estimation is addressed using least-squares optimisation, which implements the Levenburg-Marquardt gradient method (greedy algorithm) to minimise an objective function. More importantly, this model was fitted to two data sets that captured a temporal FCϵ, Syk and Grb2 phosphorylation. Model uncertainty often has done as an analysis that is carried out after model construction and calibration have been completed. This study assessed for sensitivity to parameter choices and model uncertainty to perform the analysis. The modular design principles are applied to the construction of the model. The model is designed to be reproducible. In other words, the model can be effectively applied in simulation conditions or optimised to new datasets for new experimental situations.
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FALKOWSKI, Krzysztof, and Michał DUDA. "Swarm Behaviour Optimisation Methods Based on an Original Algorithm." Problems of Mechatronics Armament Aviation Safety Engineering 12, no. 3 (2021): 53–70. http://dx.doi.org/10.5604/01.3001.0015.2428.

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This article presents an authorial swarm algorithm that performs coverage tasks using the Sweep Coverage method. The presented solution assumes stochastic movement of the objects in the swarm which allows them to be simple ones. Our goal was to find an optimal number of objects in the swarm. The main evaluated factors are time and energy consumption. Changing input data allowed us to designate different cases and to examine the influence of varying parameters of a single boid on a whole swarm behaviour.
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41

Lindström, Göran. "A Simple Automatic Calibration Routine for the HBV Model." Hydrology Research 28, no. 3 (1997): 153–68. http://dx.doi.org/10.2166/nh.1997.0009.

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A simple, but efficient, method for automatic calibration of the conceptual HBV rainfall-runoff model was developed. A new criterion, which combines the commonly used efficienyy criterion R2 and the relative volume error was introduced. Optimising this combined criterion resulted in R2 values nearly as high as those for optimssing only R2, but with much smaller volume errors. An earlier automatic calibration method for the HBV model relied on the use of differett criteria for different parameters. With the simplification to one single criterion, the optimum search method could be made more efficient. The optimisation is made for one parameter at a time, while the others are kept constant. This one-dimensional optimisation is repeated in a loop for all parameters. A new loop is performed as long as there is a sufficiently large improvement since the last one. After each loop a search is made in the direction which is defined by the differences in parameter values between the two latest loops. The calibration routine was developed for, and tested with, the HBV model, but it should be general enough to be applicable to other modess as well.
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42

Kurilovas, Eugenijus, and Inga Zilinskienė. "NEW MCEQLS AHP METHOD FOR EVALUATING QUALITY OF LEARNING SCENARIOS." Technological and Economic Development of Economy 19, no. 1 (2013): 78–92. http://dx.doi.org/10.3846/20294913.2012.762952.

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The aim of the paper is to present a new MCEQLS AHP method for the expert evaluation of quality of learning scenarios. A special attention is paid to suitability of scenarios to particular learner groups (styles). Solution of learning scenarios quality evaluation and optimisation problem could help educational institutions to select suitable scenarios for particular learning styles. The research results will be implemented in iTEC – a four-year, largest pan-European e-learning R&D project focused on the design of the future classroom funded by 7th Framework Programme. A novel method of consecutive triple application of AHP is explored in more detail. Suitability of several iTEC scenarios to particular learner groups is also analysed in the paper. A number of multiple criteria decision analysis principles are applied to create a comprehensive quality model (criteria tree) for evaluating quality of scenarios. Several optimisation methods are explored and applied to optimise learning scenarios in conformity with particular learning style. Several practical examples of iTEC learning scenarios alternatives have been evaluated against the proposed MCEQLS AHP method. The research results have shown that the proposed MCEQLS AHP method is quite objective, exact and simple to use for selecting qualitative scenarios alternatives for particular learner groups.
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43

Dhomne, Shailesh, and Ashish M. Mahalle. "Parameter Optimization of Thermal Barrier Coatings used in Two Stoke Externally Scavenged S.I. Engine using Non-Traditional Optimization Algorithms." International Journal of Manufacturing, Materials, and Mechanical Engineering 6, no. 4 (2016): 48–62. http://dx.doi.org/10.4018/ijmmme.2016100104.

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Various researchers have studied and introduced, although limited, varieties of thermal barrier coatings (TBC) materials. Each of these TBC materials has their own respective properties. Considering all these properties which one will be the effective choice among the available lot is very difficult to estimate. The optimisation is carried out using non-traditional optimisation techniques namely simple additive weighting method (SAW), weighted product method (WPM), technique for order preference by similarity to ideal solution (TOPSIS) & preference ranking organization method for enrichment evaluations (PROMETHEE) are used to find out the best optimal choice for the specified engine. The results of the above mentioned algorithms are compared and presented in this paper to decide which tbc material will perform comparatively better & give accordingly the good results.
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Dahlén, Johan, and Sylvia von Eckardstein. "Development of a capillary zone electrophoresis method including a factorial design and simplex optimisation for analysis of amphetamine, amphetamine analogues, cocaine, and heroin." Forensic Science International 157, no. 2-3 (2006): 93–105. http://dx.doi.org/10.1016/j.forsciint.2005.03.013.

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Mahato, Satyajit, Amit Rai Dixit, and Rajeev Agrawal. "Application of Lean Six Sigma for cost-optimised solution of a field quality problem: A case study." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 231, no. 4 (2017): 713–29. http://dx.doi.org/10.1177/0954405417694060.

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In a price-sensitive market, quality improvement framework also needs to incorporate cost factor. Past research on Lean Six Sigma gives limited insight on any framework catering to quality and cost together. This study aims to contribute in this niche by illustrating a hybrid framework, DMAIoC (define, measure, analyse, improve, optimise and control) to attain desired quality at minimum investment cost by integrating simplex method of optimisation in conventional DMAIC (define, measure, analyse, improve and control) framework. A case study is presented highlighting a field quality rejection problem faced by a manufacturing organisation of consumer goods. Sustainable drop height of a finished good is identified as a response variable to improve the quality. Proposed framework has been used to arrive at a statistical model to define relationship between response and input variables. Investment cost involved with change in input variables has been formulated as objective function. Constrains of objective functions were derived by extendable limits of input variables and by statistical model generated for sustainable drop height. Several feasible solutions to the objective function were identified using simplex method in optimise phase and the most economic was recommended for implementation to meet quality requirement at minimum investment. Suggested framework has significant practical implication in price–quality sensitive markets where manufacturers seek low cost process improvement solutions.
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Vasil'ev, S. V., and V. A. Sychugov. "Simple method for optimisation of parameters of a combined diffraction grating at grazing incidence." Quantum Electronics 31, no. 1 (2001): 72–78. http://dx.doi.org/10.1070/qe2001v031n01abeh001894.

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Efthymiou, CA, and WI Weir. "Optimisation of Internal Thoracic Artery Exposure using a Simple Retraction Method for Extrapleural Dissection." Annals of The Royal College of Surgeons of England 97, no. 2 (2015): 158. http://dx.doi.org/10.1308/rcsann.2015.97.2.158.

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48

Panagant, Natee, and Sujin Bureerat. "Solving Partial Differential Equations Using a New Differential Evolution Algorithm." Mathematical Problems in Engineering 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/747490.

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This paper proposes an alternative meshless approach to solve partial differential equations (PDEs). With a global approximate function being defined, a partial differential equation problem is converted into an optimisation problem with equality constraints from PDE boundary conditions. An evolutionary algorithm (EA) is employed to search for the optimum solution. For this approach, the most difficult task is the low convergence rate of EA which consequently results in poor PDE solution approximation. However, its attractiveness remains due to the nature of a soft computing technique in EA. The algorithm can be used to tackle almost any kind of optimisation problem with simple evolutionary operation, which means it is mathematically simpler to use. A new efficient differential evolution (DE) is presented and used to solve a number of the partial differential equations. The results obtained are illustrated and compared with exact solutions. It is shown that the proposed method has a potential to be a future meshless tool provided that the search performance of EA is greatly enhanced.
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Drljevic, Nevena. "Optimisation and evaluation of restriction fragment length polimorfism method for apolipoprotein E." Medical review 67, suppl. 2 (2014): 57–60. http://dx.doi.org/10.2298/mpns14s2057d.

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Introduction. Apolipoprotein E gene polymorphism is characterized by the presence of three common alleles, e2, e3 and e4, which encode three isoforms of apolipoprotein E in plasma E2, E3 and E4. Genetic polymorphisms of apolipoprotein E gene are predictive markers for the development of numerous disorders of lipid metabolism, already proven in a large number of clinical trials. This study was aimed at assessing the success rate of restriction fragment length polymorphism method for the detections of genes coding for isoenzymes E2, E3 and E4. Material and Methods. Deoxyribonucleic acid, used in this study, was extracted from blood by standard procedure using chloroform and phenol. The polymerase chain reaction method was used to amplify the coding sequence of fourth exon of the apolipoprotein E gene. Amplification products were digested with HhaI. The fragments obtained were separated by electrophoresis and visualized with ultraviolet light. Results. Our results showed that the restriction fragment length polymorphism method is optimal for detection of apolipoprotein E polymorphisms. The restriction enzyme HhaI achieved the cleavage of the gene on the specific loci, directly depend of presence or absence of mutations at positions 112 and 158, of different alleles. Conclusion. This method enables simple, rapid and efficient analysis of restriction fragment length polymorphisms, directly determining the patient?s genotype.
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Klempka, Ryszard. "Design and Optimisation of a Simple Filter Group for Reactive Power Distribution." Mathematical Problems in Engineering 2016 (2016): 1–12. http://dx.doi.org/10.1155/2016/4125014.

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Basic methods are presented to design a simple filter group and a method of shaping the resultant of the filter group’s impedance characteristics (distribution of the characteristics’ extremes) and then project equations were transformed into a uniform, common form that addresses issues of the reactive power distribution between component filters. The analysis also takes into account the filters’ detuning from the reduced harmonics and quality factors of passive elements. Another important factor of the analysis considered was the power grid equivalent impedance affecting the filtration effectiveness. A criterion for the filter group’s filtration effectiveness evaluation was proposed and optimisation was completed for the reactive power distribution between separate filters in the function of the power grid’s equivalent inductance.
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