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Artykuły w czasopismach na temat „Minimisation problem”

Autor: Grafiati

Data publikacji: 12 października 2024

Data aktualizacji: 31 lipca 2025

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1

Huy, N. Q., V. Jeyakumar, and G. M. Lee. "Sufficient global optimality conditions for multi-extremal smooth minimisation problems with bounds and linear matrix inequality constraints." ANZIAM Journal 47, no. 4 (2006): 439–50. http://dx.doi.org/10.1017/s1446181100010063.

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AbstractIn this paper, we present sufficient conditions for global optimality of a general nonconvex smooth minimisation model problem involving linear matrix inequality constraints with bounds on the variables. The linear matrix inequality constraints are also known as “semidefinite” constraints which arise in many applications, especially in control system analysis and design. Due to the presence of nonconvex objective functions such minimisation problems generally have many local minimisers which are not global minimisers. We develop conditions for identifying global minimisers of the model

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2

Katzourakis, Nikos. "A minimisation problem in L∞ with PDE and unilateral constraints." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 60. http://dx.doi.org/10.1051/cocv/2019034.

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We study the minimisation of a cost functional which measures the misfit on the boundary of a domain between a component of the solution to a certain parametric elliptic PDE system and a prediction of the values of this solution. We pose this problem as a PDE-constrained minimisation problem for a supremal cost functional in L∞, where except for the PDE constraint there is also a unilateral constraint on the parameter. We utilise approximation by PDE-constrained minimisation problems in Lp as p →∞ and the generalised Kuhn-Tucker theory to derive the relevant variational inequalities in Lp and

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3

Hawes, Matthew, and Wei Liu. "Design of Fixed Beamformers Based on Vector-Sensor Arrays." International Journal of Antennas and Propagation 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/181937.

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Vector-sensor arrays such as those composed of crossed dipole pairs are used as they can account for a signal’s polarisation in addition to the usual direction of arrival information, hence allowing expanded capacity of the system. The problem of designing fixed beamformers based on such an array, with a quaternionic signal model, is considered in this paper. Firstly, we consider the problem of designing the weight coefficients for a fixed set of vector-sensor locations. This can be achieved by minimising the sidelobe levels while keeping a unitary response for the main lobe. The second proble

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4

Peldschus, Friedel. "RESEARCH ON THE SENSITIVITY OF MULTI- CRITERION EVALUATION METHODS/SENSIBILITÄTSUNTERSUCHUNGEN ZU METHODEN DER MEHRKRITERIELLEN ENTSCHEIDUNGEN." JOURNAL OF CIVIL ENGINEERING AND MANAGEMENT 7, no. 4 (2001): 276–80. http://dx.doi.org/10.3846/13921525.2001.10531736.

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Investigations into the multi-criterion evaluations have been performed for different purposes for more than 30 years. Nevertheless, up to now there are no common rules how to apply multi-criterion methods of evaluation and how to interpret their results. But the solutions of the problem must be found. The investigations are based on the joint programme LEVI developed by the VGTU and the Leipzig HSTEC. In accordance with the programme, for solving the problem a matrix is created in which all solution variants are evaluated by the same criteria. For the transformation of initial data different

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5

Milovanovic, Milos J., Svetlana S. Raicevic, Dardan O. Klimenta, Nebojsa B. Raicevic, and Bojan D. Perovic. "Determination of Optimal Locations and Parameters of Passive Harmonic Filters in Unbalanced Systems Using the Multiobjective Genetic Algorithm." Elektronika ir Elektrotechnika 30, no. 2 (2024): 28–37. http://dx.doi.org/10.5755/j02.eie.36124.

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This paper discusses the problem of optimal placement and sizing of passive harmonic filters to mitigate harmonics in unbalanced distribution systems. The problem is formulated as a nonlinear multiobjective optimisation problem and solved using the multiobjective genetic algorithm. The performance of the proposed algorithm is tested on unbalanced IEEE 13- and 37-bus three-phase systems. The optimal solutions are obtained based on the following objective functions: 1) minimisation of total harmonic distortion in voltage, 2) minimisation of costs of filters, 3) minimisation of voltage unbalances

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6

Khrychev, Dmitry. "Optimal programmed control in energy minimisation problem." E3S Web of Conferences 458 (2023): 01028. http://dx.doi.org/10.1051/e3sconf/202345801028.

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This paper is devoted to the construction of optimal programmed control of the motion of a material point in a medium with a random coefficient of resistance in a homogeneous field of gravity of the Earth. The control objective is to minimise the mathematical expectation of the total mechanical energy of the material point. The problem is solved by two methods proposed by the author in previous works. Both methods assume approximation of the initial stochastic problem by deterministic optimal control problems. In the first case, the transition to approximate deterministic problems is carried o

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7

Vaidya, Omkarprasad S., L. Ganapathy, and Sushil Kumar. "A cost minimisation model for system reliability allocation." International Journal of Quality & Reliability Management 36, no. 9 (2019): 1620–43. http://dx.doi.org/10.1108/ijqrm-07-2018-0199.

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Purpose The purpose of this paper is to consider a nonlinear problem of minimizing the cost of providing reliable systems. The authors assume that the system consists of several components in series, and for each such component, the cost of the component increases exponentially with its reliability. Design/methodology/approach In order to solve this nonlinear optimization problem, the authors propose two approaches. The first approach is based on the concept of adjusting the reliability of a pair of components to minimize the cost of the system. The authors call this procedure as reliability a

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8

Bisira, Hammed, and Abdellah Salhi. "Reshuffle minimisation to improve storage yard operations efficiency." Journal of Algorithms & Computational Technology 15 (January 2021): 174830262199401. http://dx.doi.org/10.1177/1748302621994010.

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There are many ways to measure the efficiency of the storage area management in container terminals. These include minimising the need for container reshuffle especially at the yard level. In this paper, we consider the container reshuffle problem for stacking and retrieving containers. The problem was represented as a binary integer programming model and solved exactly. However, the exact method was not able to return results for large instances. We therefore considered a heuristic approach. A number of heuristics were implemented and compared on static and dynamic reshuffle problems includin

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9

Shang, Zhen, Songzheng Zhao, Yanjun Qian, and Jun Lin. "Exact algorithms for the feedback length minimisation problem." International Journal of Production Research 57, no. 2 (2018): 544–59. http://dx.doi.org/10.1080/00207543.2018.1456697.

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10

Darwish, M. A., Abdulrahman R. Alenezi, and Majid M. Aldaihani. "Per-unit cost minimisation of the newsvendor problem." International Journal of Industrial and Systems Engineering 20, no. 4 (2015): 497. http://dx.doi.org/10.1504/ijise.2015.070186.

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11

Omar, Yusuf Sheikh, Anna Jenkins, Marieke van Regteren Altena, et al. "Khat Use: What Is the Problem and What Can Be Done?" BioMed Research International 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/472302.

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The chewing of khat leaves is an established tradition in East Africa but is much less prevalent in other areas of the world and is mostly limited to Somali communities. However, our understanding of what constitutes problematic khat use in the Somali community in Victoria, Australia, is limited. The objectives of this study were to better understand the views of Somali community representatives and primary care practitioners regarding problematic khat use, to consider relevant harm minimisation strategies, and to develop resources to assist individuals with problematic khat use and their fami

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12

Adamson, Duncan, Argyrios Deligkas, Vladimir Gusev, and Igor Potapov. "On the Hardness of Energy Minimisation for Crystal Structure Prediction*." Fundamenta Informaticae 184, no. 3 (2022): 181–203. http://dx.doi.org/10.3233/fi-2021-2096.

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Crystal Structure Prediction (CSP) is one of the central and most challenging problems in materials science and computational chemistry. In CSP, the goal is to find a configuration of ions in 3D space that yields the lowest potential energy. Finding an efficient procedure to solve this complex optimisation question is a well known open problem. Due to the exponentially large search space, the problem has been referred in several materials-science papers as “NP-Hard and very challenging” without a formal proof. This paper fills a gap in the literature providing the first set of formally proven

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13

Montoya-Torres, Jairo R., and Fabián Vargas-Nieto. "Solving a Bi-Criteria Hybrid Flowshop Scheduling Problem Occurring in Apparel Manufacturing." International Journal of Information Systems and Supply Chain Management 4, no. 2 (2011): 42–60. http://dx.doi.org/10.4018/jisscm.2011040103.

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This paper studies the problem of production scheduling in a company belonging to the apparel industry, where textile labels are manufactured through the process of thermal transfer. The problem is modelled as a flexible flowshop with two stages. The objectives are the maximisation of system productivity (or minimisation of makespan) and the minimisation of the number of production orders with late delivery. This paper proposes a scheduling procedure based on a bi-objective genetic algorithm. An experimental study was performed using real data from the enterprise. Since validation results show

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14

Mohapatra, Sudhir Kumar, and Srinivas Prasad. "Using chemical reaction optimisation for test case minimisation problem." International Journal of Software Engineering, Technology and Applications 2, no. 1 (2017): 22. http://dx.doi.org/10.1504/ijseta.2017.086971.

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15

Prasad, Srinivas, and Sudhir Kumar Mohapatra. "Using chemical reaction optimisation for test case minimisation problem." International Journal of Software Engineering, Technology and Applications 2, no. 1 (2017): 22. http://dx.doi.org/10.1504/ijseta.2017.10008007.

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16

Bosch, P., J. P. Contreras, and J. Munizaga-Rosas. "Feasibility and cost minimisation for a lithium extraction problem." Computers & Operations Research 115 (March 2020): 104724. http://dx.doi.org/10.1016/j.cor.2019.05.029.

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17

Peng, C. Y., and J. W. Li. "Fast sparse representation model for l1-norm minimisation problem." Electronics Letters 48, no. 3 (2012): 162. http://dx.doi.org/10.1049/el.2011.3466.

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18

LIU, HAIFENG, JIHUA ZHU, and JIGEN PENG. "TWO NEW LOWER BOUNDS FOR THE SPARK OF A MATRIX." Bulletin of the Australian Mathematical Society 96, no. 3 (2017): 353–60. http://dx.doi.org/10.1017/s000497271700034x.

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The $l_{0}$-minimisation problem has attracted much attention in recent years with the development of compressive sensing. The spark of a matrix is an important measure that can determine whether a given sparse vector is the solution of an $l_{0}$-minimisation problem. However, its calculation involves a combinatorial search over all possible subsets of columns of the matrix, which is an NP-hard problem. We use Weyl’s theorem to give two new lower bounds for the spark of a matrix. One is based on the mutual coherence and the other on the coherence function. Numerical examples are given to show

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19

Wu, Xiao, and Xianping Guo. "First Passage Optimality and Variance Minimisation of Markov Decision Processes with Varying Discount Factors." Journal of Applied Probability 52, no. 2 (2015): 441–56. http://dx.doi.org/10.1239/jap/1437658608.

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This paper deals with the first passage optimality and variance minimisation problems of discrete-time Markov decision processes (MDPs) with varying discount factors and unbounded rewards/costs. First, under suitable conditions slightly weaker than those in the previous literature on the standard (infinite horizon) discounted MDPs, we establish the existence and characterisation of the first passage expected-optimal stationary policies. Second, to further distinguish the expected-optimal stationary policies, we introduce the variance minimisation problem, prove that it is equivalent to a new f

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20

Wu, Xiao, and Xianping Guo. "First Passage Optimality and Variance Minimisation of Markov Decision Processes with Varying Discount Factors." Journal of Applied Probability 52, no. 02 (2015): 441–56. http://dx.doi.org/10.1017/s0021900200012560.

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This paper deals with the first passage optimality and variance minimisation problems of discrete-time Markov decision processes (MDPs) with varying discount factors and unbounded rewards/costs. First, under suitable conditions slightly weaker than those in the previous literature on the standard (infinite horizon) discounted MDPs, we establish the existence and characterisation of the first passage expected-optimal stationary policies. Second, to further distinguish the expected-optimal stationary policies, we introduce the variance minimisation problem, prove that it is equivalent to a new f

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21

Oeri, Hans, and David Goluskin. "Convex computation of maximal Lyapunov exponents." Nonlinearity 36, no. 10 (2023): 5378–400. http://dx.doi.org/10.1088/1361-6544/acecf5.

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Abstract We describe an approach for finding upper bounds on an ODE dynamical system’s maximal Lyapunov exponent (LE) among all trajectories in a specified set. A minimisation problem is formulated whose infimum is equal to the maximal LE, provided that trajectories of interest remain in a compact set. The minimisation is over auxiliary functions that are defined on the state space and subject to a pointwise inequality. In the polynomial case—i.e. when the ODE’s right-hand side is polynomial, the set of interest can be specified by polynomial inequalities or equalities, and auxiliary functions

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22

Keshavarz, Taha, and Nasser Salmasi. "Makespan minimisation in flexible flowshop sequence-dependent group scheduling problem." International Journal of Production Research 51, no. 20 (2013): 6182–93. http://dx.doi.org/10.1080/00207543.2013.825055.

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23

Das, S., and Monisha Borthakur. "A Mixed Constrained (Identical) Vehicle Routing Problem for Time Minimisation." OPSEARCH 43, no. 1 (2006): 31–48. http://dx.doi.org/10.1007/bf03398758.

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24

Kuimova, Yelena I., and Dmitriy A. Ryabov. "Multi-criteria problem of optimization." Vestnik Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics, no. 3 (2019): 214–16. http://dx.doi.org/10.34216/2073-1426-2019-25-3-214-216.

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General subjects of teaching technics connected with minimisation by metrics are under consideration.The effectiveness of studying the possibilities of mathematical modelling in applied economical problems depends not only on studying the basic section of operation research, but also on the skill of finding the resolution of non-typical situation independently. Comparative analysis of different approaches to reduction of multicriteria problem to a single-criterion problem for further use of classical optimisation techniques.Comparative analysis of different approaches to the reduction of a mul

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25

Yaotian, Shen, and Yan Shusen. "Existence and boundedness of a minimiser for a constrained minimisation problem on Rn with limiting exponent." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 122, no. 3-4 (1992): 221–35. http://dx.doi.org/10.1017/s0308210500021089.

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SynopsisWe use the concentration compactness principle to study the existence of a minimiser of the minimisation problem where u =(u1, …, uN), . We also prove the boundedness of the minimiser of l1 by using the reverse Holder inequality.

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Shen, Yaotian, and Shusen Yan. "A singularly perturbed elliptic problem involving supercritical Sobolev exponent." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 128, no. 4 (1998): 809–19. http://dx.doi.org/10.1017/s030821050002179x.

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This paper deals with −Δu + εuq−1 = u2*−1, , where q > 2*, ε > 0. We first show that the minimiser of the associated minimisation problem blows up at the global minimum point of H(x, x), where H(y, x) is the regular part of the Green's function. We then prove that for each strictly local minimum point x0 of H(x, x), this problem has a solution concentrating at x0 as ε→0.

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Fadeeva, A. M. "Risk minimisation methods in shaping the optimal range of treadmills." Vestnik Universiteta, no. 11 (January 7, 2022): 149–56. http://dx.doi.org/10.26425/1816-4277-2021-11-149-156.

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The article presents a solution to the problem of integrating risk minimisation methods in the process of forming the optimal range of treadmill models in a retail enterprise. The problem of multi-criteria optimisation was solved using the generalised criterion method. The formulated problem was therefore broken down into a number of specific tasks, each of which was solved by selecting specific methods. Risks were minimised by mathematical methods, taking into account the economic performance of the enterprise. Recommendations were also offered for customers wishing to purchase one of the tre

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Ayanbayev, Birzhan, Ilja Klebanov, Han Cheng Lie та T. J. Sullivan. "Γ -convergence of Onsager–Machlup functionals: I. With applications to maximum a posteriori estimation in Bayesian inverse problems". Inverse Problems 38, № 2 (2021): 025005. http://dx.doi.org/10.1088/1361-6420/ac3f81.

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Abstract The Bayesian solution to a statistical inverse problem can be summarised by a mode of the posterior distribution, i.e. a maximum a posteriori (MAP) estimator. The MAP estimator essentially coincides with the (regularised) variational solution to the inverse problem, seen as minimisation of the Onsager–Machlup (OM) functional of the posterior measure. An open problem in the stability analysis of inverse problems is to establish a relationship between the convergence properties of solutions obtained by the variational approach and by the Bayesian approach. To address this problem, we pr

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29

Guardiola, Carlos, Benjamín Pla, Varun Pandey, and Richard Burke. "On the potential of traffic light information availability for reducing fuel consumption and NOx emissions of a diesel light-duty vehicle." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 234, no. 4 (2019): 981–91. http://dx.doi.org/10.1177/0954407019867167.

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The paper addresses the impact of traffic light information availability in terms of fuel consumption and emissions by means of comparing three different scenarios that a driver of a diesel light-duty vehicle may face when trying to cover a particular route of 1 km with two traffic lights in between. The first scenario is that the driver does not know in advance the state of the traffic lights. The second scenario assumes that the driver knows the state of the traffic lights but has no modelling nor computation capabilities to solve the associated optimal control problem. In the third scenario

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30

Alyami, Maryam. "Existence of solution for a singular fractional boundary value problem of Kirchhoff type." Filomat 36, no. 17 (2022): 5803–12. http://dx.doi.org/10.2298/fil2217803a.

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In this work, we investigate the existence of solution for some nonlinear singular problem of Kirchhoff type involving Riemann-Liouville Fractional Derivative and the p-Laplacian operator. The main tools are based on the variational method, precisely, we use the minimisation of the corresponding functional in a suitable fractional spaces. Our main result significantly complement and improves the previous ones due to [6] and [31].

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31

Hussein, M. S., D. Lesnic, and M. Ivanchov. "Free Boundary Determination in Nonlinear Diffusion." East Asian Journal on Applied Mathematics 3, no. 4 (2013): 295–310. http://dx.doi.org/10.4208/eajam.100913.061113a.

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AbstractFree boundary problems with nonlinear diffusion occur in various applications, such as solidification over a mould with dissimilar nonlinear thermal properties and saturated or unsaturated absorption in the soil beneath a pond. In this article, we consider a novel inverse problem where a free boundary is determined from the mass/energy specification in a well-posed one-dimensional nonlinear diffusion problem, and a stability estimate is established. The problem is recast as a nonlinear least-squares minimisation problem, which is solved numerically using the lsqnonlin routine from the

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32

Coladas, L., Z. Li, and S. Wang. "Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces." Bulletin of the Australian Mathematical Society 50, no. 2 (1994): 205–18. http://dx.doi.org/10.1017/s0004972700013678.

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In this paper we study optimality conditions for an efficient solution in various senses of a general multiobjective optimisation problem in abstract spaces. We utilise properties of the Clarke's generalised differential and properties of a conesubconvexlike function to derive a few necessary and/or sufficient conditions for a feasible solution to be a weak minimum (a minimum, a strong minimum or a proper minimum) of the vector optimisation problem. The results in this paper are extensions and refinements of some known results in vector optimisation.

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33

Basupi, Innocent, Zoran Kapelan, and David Butler. "Reducing life-cycle carbon footprints in the redesign of water distribution systems." Journal of Water and Climate Change 4, no. 3 (2013): 176–92. http://dx.doi.org/10.2166/wcc.2013.004.

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Water distribution systems (WDSs) contribute to undesirable greenhouse gas (GHG) emissions that are generated through their component fabrication, construction, operation and disposal processes. The concentration of GHGs in the atmosphere is strongly associated with global warming and climate change. In order to meet the consequent challenge of limiting GHG emissions, the problem of WDS redesign is formulated here as a multi-objective optimisation problem. The three objectives are as follows: (1) minimisation of total redesign cost, (2) maximisation of the WDS resilience, and (3) minimisation

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Elliott, J., and J. Peraire. "Constrained, multipoint shape optimisation for complex 3D configurations." Aeronautical Journal 102, no. 1017 (1998): 365–76. http://dx.doi.org/10.1017/s0001924000065143.

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AbstractA method for performing three-dimensional, multipoint, lift-constrained drag minimisation for complex aircraft configurations is presented. Parameters representing the aircraft geometry are the design variables used in the solution of an optimisation problem. The compressible Euler equations for the flow are discretised on automatically generated unstructured meshes, and the sensitivities of the objective function and the constraints with respect to the design parameters are efficiently calculated using the discrete adjoint method. In addition, the solution algorithm has been paralleli

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35

Vo, Q. B., and N. Y. Foo. "Reasoning about Action: An Argumentation - Theoretic Approach." Journal of Artificial Intelligence Research 24 (October 1, 2005): 465–518. http://dx.doi.org/10.1613/jair.1602.

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We present a uniform non-monotonic solution to the problems of reasoning about action on the basis of an argumentation-theoretic approach. Our theory is provably correct relative to a sensible minimisation policy introduced on top of a temporal propositional logic. Sophisticated problem domains can be formalised in our framework. As much attention of researchers in the field has been paid to the traditional and basic problems in reasoning about actions such as the frame, the qualification and the ramification problems, approaches to these problems within our formalisation lie at heart of the e

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36

Bokhari, M. A. "On certain sequences of least squares approximants." Bulletin of the Australian Mathematical Society 37, no. 3 (1988): 415–22. http://dx.doi.org/10.1017/s0004972700027039.

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A sequence of certain rational functions is determined where each member solves an ℓ2-minimisation problem on a “large” set of roots of unity. The sequence is compared with another sequence of L2-rational approximants. Our main result extends a result of Rivlin on Walsh type equiconvergence.

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Szłapczyński, Rafał, and Hossein Ghaemi. "Framework of an Evolutionary Multi-Objective Optimisation Method for Planning a Safe Trajectory for a Marine Autonomous Surface Ship." Polish Maritime Research 26, no. 4 (2019): 69–79. http://dx.doi.org/10.2478/pomr-2019-0068.

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Abstract This paper represents the first stage of research into a multi-objective method of planning safe trajectories for marine autonomous surface ships (MASSs) involved in encounter situations. Our method applies an evolutionary multi-objective optimisation (EMO) approach to pursue three objectives: minimisation of the risk of collision, minimisation of fuel consumption due to collision avoidance manoeuvres, and minimisation of the extra time spent on collision avoidance manoeuvres. Until now, a fully multi-objective optimisation has not been applied to the real-time problem of planning saf

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Xu, Xiaoqing, Wentian Cui, Jun Lin, and Yanjun Qian. "Robust makespan minimisation in identical parallel machine scheduling problem with interval data." International Journal of Production Research 51, no. 12 (2013): 3532–48. http://dx.doi.org/10.1080/00207543.2012.751510.

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Stoica, Adrian-Mihail, and Isaac Yaesh. "STATIC OUTPUT FEEDBACK REVISITED." Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application 13, no. 1-2 (2021): 216–31. http://dx.doi.org/10.56082/annalsarscimath.2021.1-2.216.

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The synthesis problem of static output feedback controllers within the anisotropic-norm setup is revisited. A tractable synthesis approach involving iterations over a convex optimisation problem is suggested, similarly to existing results for the H∞-norm minimisation case. The results are formulated by a couple of Linear Matrix Inequalities coupled via a bilinear equality, revealing, as in the H∞ case the duality of between the control-type and filtering type LMIs and allowing a tractable iterative method to cope with practical static output feedback synthesis problems. The resulting optimisat

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40

Stoica, Adrian-Mihail, and Isaac Yaesh. "STATIC OUTPUT FEEDBACK REVISITED." Annals of the Academy of Romanian Scientists Series on Mathematics and Its Application 13, no. 1-2 (2021): 216–31. http://dx.doi.org/10.56082/annalsarscimath.2022.1-2.216.

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The synthesis problem of static output feedback controllers within the anisotropic-norm setup is revisited. A tractable synthesis approach involving iterations over a convex optimisation problem is suggested, similarly to existing results for the H∞-norm minimisation case. The results are formulated by a couple of Linear Matrix Inequalities coupled via a bilinear equality, revealing, as in the H∞ case the duality of between the control-type and filtering type LMIs and allowing a tractable iterative method to cope with practical static output feedback synthesis problems. The resulting optimisat

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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 coef

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Srše, Jure, Marko Perkovič, and Aleksander Grm. "Minimisation of Propeller-Induced Sediment Resuspension with Rip-Rap System." Časopis Pomorskog fakulteta Kotor - Journal of Maritime Sciences 24, no. 1 (2023): 12–21. http://dx.doi.org/10.56080/jms230502.

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Sediment resuspension caused by the movement of propellers during manoeuvring is a major problem in daily port operations. Negative impacts include: Marine flora and fauna, sediment erosion that weakens berth structures, sediment deposits that require dredging. Later, this leads to delays in port operations. Several authors have proposed different methods to cope with this problem. This paper presents methods and tools to determine the critical propeller jet velocities, which are the most important parameter to determine the size of the bank stabilisation system. The tool is a bridge simulator

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Liu, Cheng-Hsiang. "Approximate trade-off between minimisation of total weighted tardiness and minimisation of carbon dioxide (CO2) emissions in bi-criteria batch scheduling problem." International Journal of Computer Integrated Manufacturing 27, no. 8 (2013): 759–71. http://dx.doi.org/10.1080/0951192x.2013.834479.

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Strachan, L. F., L. M. Freitas dos Santos, D. J. Leak, and A. G. Livingston. "Minimisation of biomass in an extractive membrane bioreactor." Water Science and Technology 34, no. 5-6 (1996): 273–80. http://dx.doi.org/10.2166/wst.1996.0560.

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Many traditional biological methods for the treatment of wastewater cope poorly with toxic, volatile organic compounds. The extractive membrane bioreactor is a novel process for the treatment of industrial wastewaters containing such compounds which combines extraction across a silicone rubber membrane with biodegradation. Previous work has shown that there is a problem in this system with excess biofilm growth on the membrane surface, resulting in reduced flux of organic substrate across the membrane. The work presented here shows that addition of sodium chloride to the biomedium increases th

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Le, Hoang Son, Rini Akmeliawati, and Gustavo Carneiro. "Domain Generalisation with Domain Augmented Supervised Contrastive Learning (Student Abstract)." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 18 (2021): 15821–22. http://dx.doi.org/10.1609/aaai.v35i18.17907.

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Domain generalisation (DG) methods address the problem of domain shift, when there is a mismatch between the distributions of training and target domains. Data augmentation approaches have emerged as a promising alternative for DG. However, data augmentation alone is not sufficient to achieve lower generalisation errors. This project proposes a new method that combines data augmentation and domain distance minimisation to address the problems associated with data augmentation and provide a guarantee on the learning performance, under an existing framework. Empirically, our method outperforms b

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Zhou, Hongming, Ya-Chih Tsai, Shenquan Huang, Yarong Chen, and Fuh-Der Chou. "Single-Machine Scheduling with Fixed Periodic Preventive Maintenance to Minimise the Total Weighted Completion Times." Mathematical Problems in Engineering 2021 (April 17, 2021): 1–15. http://dx.doi.org/10.1155/2021/8891322.

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The single-machine scheduling problem with fixed periodic preventive maintenance, in which preventive maintenance is implemented periodically to maintain good machine operational status and decrease the cost caused by sudden machine failure, is studied in this paper. The adopted objective function is to minimise the total weighted completion time, which is representative of the minimisation of the global holding/inventory cost in the system. This problem is proven to be NP-hard; a position-based mixed integer programming model and an efficient heuristic algorithm with local improvement strateg

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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 address

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Sajjadmanesh, Mojtaba, Hassen Aydi, Eskandar Ameer, and Choonkil Park. "The Method of Fundamental Solutions for the 3D Laplace Inverse Geometric Problem on an Annular Domain." Fractal and Fractional 6, no. 2 (2022): 66. http://dx.doi.org/10.3390/fractalfract6020066.

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In this paper, we are interested in an inverse geometric problem for the three-dimensional Laplace equation to recover an inner boundary of an annular domain. This work is based on the method of fundamental solutions (MFS) by imposing the boundary Cauchy data in a least-square sense and minimisation of the objective function. This approach can also be considered with noisy boundary Cauchy data. The simplicity and efficiency of this method is illustrated in several numerical examples.

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Roy Chaudhuri, Arghya, and Shivaram Kalyanakrishnan. "Regret Minimisation in Multi-Armed Bandits Using Bounded Arm Memory." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 06 (2020): 10085–92. http://dx.doi.org/10.1609/aaai.v34i06.6566.

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Regret minimisation in stochastic multi-armed bandits is a well-studied problem, for which several optimal algorithms have been proposed. Such algorithms depend on (sufficient statistics of) the empirical reward distributions of the arms to decide which arm to pull next. In this paper, we consider the design of algorithms that are constrained to store statistics from only a bounded number of arms. For bandits with a finite set of arms, we derive a sub-linear upper bound on the regret that decreases with the “arm memory” size M. For instances with a large, possibly infinite, set of arms, we sho

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Nafiah, Faris, Mohammad O. Tokhi, Gholamhossein Shirkoohi, Fang Duan, Zhanfang Zhao, and Owen Rees-Lloyd. "Determining Feature Extraction Parameters for Pulsed Eddy Current Sensor: A Minimisation Problem Approach." IEEE Sensors Journal 21, no. 22 (2021): 26124–31. http://dx.doi.org/10.1109/jsen.2021.3119466.

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