Academic literature on the topic 'Minimisation problem'

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Journal articles on the topic "Minimisation problem"

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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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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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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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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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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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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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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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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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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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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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Dissertations / Theses on the topic "Minimisation problem"

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Haben, Stephen A. "Conditioning and preconditioning of the minimisation problem in variational data assimilation." Thesis, University of Reading, 2011. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.541945.

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Coppa, Bertrand. "Sur quelques applications du codage parcimonieux et sa mise en oeuvre." Phd thesis, Université de Grenoble, 2013. http://tel.archives-ouvertes.fr/tel-00934823.

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Le codage parcimonieux permet la reconstruction d'un signal à partir de quelques projections linéaires de celui-ci, sous l'hypothèse que le signal se décompose de manière parcimonieuse, c'est-à-dire avec peu de coefficients, sur un dictionnaire connu. Le codage est simple, et la complexité est déportée sur la reconstruction. Après une explication détaillée du fonctionnement du codage parcimonieux, une présentation de quelques résultats théoriques et quelques simulations pour cerner les performances envisageables, nous nous intéressons à trois problèmes : d'abord, l'étude de conception d'un sys
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Wang, Chen. "Variants of Deterministic and Stochastic Nonlinear Optimization Problems." Thesis, Paris 11, 2014. http://www.theses.fr/2014PA112294/document.

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Les problèmes d’optimisation combinatoire sont généralement réputés NP-difficiles, donc il n’y a pas d’algorithmes efficaces pour les résoudre. Afin de trouver des solutions optimales locales ou réalisables, on utilise souvent des heuristiques ou des algorithmes approchés. Les dernières décennies ont vu naitre des méthodes approchées connues sous le nom de métaheuristiques, et qui permettent de trouver une solution approchées. Cette thèse propose de résoudre des problèmes d’optimisation déterministe et stochastique à l’aide de métaheuristiques. Nous avons particulièrement étudié la méthode de
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Boiger, Wolfgang Josef. "Stabilised finite element approximation for degenerate convex minimisation problems." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, 2013. http://dx.doi.org/10.18452/16790.

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Infimalfolgen nichtkonvexer Variationsprobleme haben aufgrund feiner Oszillationen häufig keinen starken Grenzwert in Sobolevräumen. Diese Oszillationen haben eine physikalische Bedeutung; Finite-Element-Approximationen können sie jedoch im Allgemeinen nicht auflösen. Relaxationsmethoden ersetzen die nichtkonvexe Energie durch ihre (semi)konvexe Hülle. Das entstehende makroskopische Modell ist degeneriert: es ist nicht strikt konvex und hat eventuell mehrere Minimalstellen. Die fehlende Kontrolle der primalen Variablen führt zu Schwierigkeiten bei der a priori und a posteriori Fehlerschätz
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Schwinte, Valentin. "Autour de l'équation du plus bas niveau de Landau." Electronic Thesis or Diss., Université de Lorraine, 2024. http://www.theses.fr/2024LORR0078.

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Cette thèse a pour objet l'étude de l'équation du plus bas niveau de Landau, dans plusieurs contextes pertinents en physique et provient des modèles pour les condensats de Bose-Einstein. Nous nous penchons spécifiquement sur trois aspects liés à l'équation. Le premier est l'étude d'une classe de solutions appelées ondes stationnaires, à travers la minimisation d'une fonctionnelle énergie. Nous montrons notamment que la gaussienne est l'unique minimiseur global à symétries près pour un certain paramètre, à l'aide d'algèbre linéaire et bilinéaire. Le deuxième point concerne la conjecture de rése
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Cutforth, Claire Louise. "Understanding waste minimisation practices at the individual and household level." Thesis, Cardiff University, 2014. http://orca.cf.ac.uk/69484/.

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Over recent years, the issue of how to manage waste sustainably has intensified for both researchers and policy makers. From a policy perspective, the reason for this intensification can be traced to European legislation and its transposition into UK policy. The Welsh Government in particular has set challenging statutory targets for Local Authorities. Such targets include increases in recycling and composting as well as waste reduction and reuse targets. From a research perspective there has been dissatisfaction with behavioural models and their willingness to explore alternative social scien
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Hülsemann, Frank. "A new moving mesh algorithm for the finite element solution of variational problems." Thesis, University of Bristol, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.310742.

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Gerner, Wadim [Verfasser], Christof [Akademischer Betreuer] Melcher, der Mosel Heiko [Akademischer Betreuer] von, and Daniel [Akademischer Betreuer] Peralta-Salas. "Minimisation problems in ideal magnetohydrodynamics / Wadim Gerner ; Christof Melcher, Heiko von der Mosel, Daniel Peralta-Salas." Aachen : Universitätsbibliothek der RWTH Aachen, 2020. http://d-nb.info/1225880297/34.

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Gryson, Alexis. "Minimisation d'énergie sous contraintes : applications en algèbre linéaire et en contrôle linéaire." Phd thesis, Université des Sciences et Technologie de Lille - Lille I, 2009. http://tel.archives-ouvertes.fr/tel-00424947.

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Le problème de Zolotarev pour des ensembles discrets apparaît pour décrire le taux de convergence de la méthode ADI, dans l'approximation de certaines fonctions matricielles ou encore pour quantifier le taux de décroissance des valeurs singulières de certaines matrices structurées. De plus, la réduction de modèle constitue un enjeu important en théorie du contrôle linéaire, et on peut prédire la qualité de l'approximation d'un système dynamique linéaire continu stationnaire de grande dimension donné grâce à la résolution approchée d'une équation de Sylvester. Après avoir prouvé l'existence d'u
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Haberkorn, Thomas. "Transfert orbital à poussée faible avec minimisation de la consommation : résolution par homotopie différentielle." Toulouse, INPT, 2004. http://www.theses.fr/2004INPT031H.

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Cette thèse porte sur un problème de mécanique spatiale, un transfert orbital à poussée faible, autour de la Terre, avec maximisation de la masse finale. La difficulté de ce problème vient des discontinuités de la commande optimale et du fait que les instants de commutations ne sont pas connus (nombre et localisation). La méthode du tir simple devenant particulièrement sensible à l'initialisation, on paramètre le critère du problème pour relier la minimisation de l'énergie à la minimisation de la consommation. La fonction de tir résultant de la paramétrisation définit alors une homotopie dont
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Books on the topic "Minimisation problem"

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Kikuchi, Noboru. Contact problems in elasticity: A study of variational inequalities and finite element methods. SIAM, 1988.

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JINGMIN. Computing Analysing Energy Minimisatiohb : Computing and Analysing Energy Minimisation Problems in Liquid Crystals: Implementation Using Firedr. World Scientific Publishing Co Pte Ltd, 2023.

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Kikuchi, N., and J. Tinsley Oden. Contact Problems in Elasticity: A Study of Variational Inequalities and Finite Element Methods (Studies in Applied and Numerical Mathematics). Society for Industrial Mathematics, 1995.

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Book chapters on the topic "Minimisation problem"

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Ponter, Alan R. S. "The Ratchet Limit—A Coupled Dual Minimisation Problem." In Limit State of Materials and Structures. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-5425-6_1.

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Baatar, Davaatseren, Mohan Krishnamoorthy, and Andreas T. Ernst. "A Triplet-Based Exact Method for the Shift Minimisation Personnel Task Scheduling Problem." In Algorithms - ESA 2015. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48350-3_6.

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Hutchings, Matthew, and Bertrand Gauthier. "Local Optimisation of Nyström Samples Through Stochastic Gradient Descent." In Machine Learning, Optimization, and Data Science. Springer Nature Switzerland, 2023. http://dx.doi.org/10.1007/978-3-031-25599-1_10.

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AbstractWe study a relaxed version of the column-sampling problem for the Nyström approximation of kernel matrices, where approximations are defined from multisets of landmark points in the ambient space; such multisets are referred to as Nyström samples. We consider an unweighted variation of the radial squared-kernel discrepancy (SKD) criterion as a surrogate for the classical criteria used to assess the Nyström approximation accuracy; in this setting, we discuss how Nyström samples can be efficiently optimised through stochastic gradient descent. We perform numerical experiments which demon
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Klement, Sascha, and Thomas Martinetz. "On the Problem of Finding the Least Number of Features by L1-Norm Minimisation." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-21735-7_39.

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Fages, Jean-Guillaume, and Tanguy Lapègue. "Filtering AtMostNValue with Difference Constraints: Application to the Shift Minimisation Personnel Task Scheduling Problem." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-40627-0_8.

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Cheung, Michael Tow, and David W. K. Yeung. "Characterising the Solution of an Average Cost Minimisation Problem with Returns to Scale Measures and a Decomposition Technique." In Operations Research ’91. Physica-Verlag HD, 1992. http://dx.doi.org/10.1007/978-3-642-48417-9_104.

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Aubin, Jean-Pierre. "Minimisation Problems: General Theorems." In Optima and Equilibria. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03539-9_2.

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Aubin, Jean-Pierre. "Minimisation Problems: General Theorems." In Optima and Equilibria. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-02959-6_2.

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Barba, Paolo Di. "Inverse Problems and Error Minimisation." In Lecture Notes in Electrical Engineering. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3080-1_2.

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Aubin, Jean-Pierre. "Conjugate Functions and Convex Minimisation Problems." In Optima and Equilibria. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-03539-9_4.

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Conference papers on the topic "Minimisation problem"

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Alam, Md Shamsul, I. David L. Bogle, and Vivek Dua. "Optimisation of Biomass-Energy-Water-Food Nexus under Uncertainty." In The 35th European Symposium on Computer Aided Process Engineering. PSE Press, 2025. https://doi.org/10.69997/sct.117909.

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The three systems, water, energy and food, are intertwined since the effect of any of these systems can affect others. This study proposes a mathematical model incorporating uncertain parameters in the biomass energy-water-food nexus system. The novel aspects of this work include formulating and solving the problem as a mixed-integer linear program and addressing the presence of uncertain parameters through a two-stage stochastic mathematical programming approach. Taking maximising economic benefit as an objective function, this work compares the results of the deterministic model with the res
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Hayward-Browne, A., D. S. Ackroyd, and B. B. Davé. "Wastewater Minimisation at a Stainless Steel Manufacturing Facility." In CORROSION 1996. NACE International, 1996. https://doi.org/10.5006/c1996-96571.

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Abstract As the environmental regulations associated with discharging water from industrial installations become increasingly more stringent and water in some areas becomes more scarce, water costs, both for purchase and disposal, become increasingly more expensive. So the importance of reusing and recycling water is heightened. This paper investigates the desire of a stainless steel manufacturing plant to improve the final product surface quality. Simple upgrading of the 'once-through' rinsing process would have presented operational problems for the on-site effluent treatment plant and excee
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Katebi, M. R., M. J. Grimble, and J. Wilkie. "Ship Steering Control Problem Performance Criterion for Energy Minimisation." In 1986 American Control Conference. IEEE, 1986. http://dx.doi.org/10.23919/acc.1986.4789119.

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Fregolent, Annalisa, and Walter D’Ambrogio. "Evaluation of Different Strategies in the Parametric Identification of Dynamic Models." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4154.

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Abstract In the present paper, two different updating techniques are compared: the FRU-IT method, based on the minimisation of the force residual through a deterministic approach, and the GAME-UP method based on the minimisation of the output residual, using genetic algorithms. FRU-IT method, as most of the deterministic approaches presented in the literature, is strongly affected by measurement errors, that propagate in the solution and require sophisticated regularisation techniques. The use of genetic algorithms, that find the solution in a heuristic way by simulating an evolution process a
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Porter, Brian, Samir S. Mohamed, and Bamidele A. Sangolola. "Genetic Design of Dynamically Optimal Four-Bar Linkages." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0220.

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Abstract It Is shown in this paper that, once the problem of designing dynamically optimal mechanisms is formulated as a constrained minimisation problem, genetic algorithms provide a procedure for solving this design problem which is very powerful but also very simple. These general results are illustrated by the genetic optimisation of a particular four-bar linkage that was previously optimised non-genetlcally. However, It is pointed out that the genetic design methodology described in this paper can in principle be used to minimise any desired combination of forces and couples in any mechan
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Kurup, Nikhil G., and K. S. Vijula Grace. "Optimisation Algorithms for Deep Learning Method: A Review with a Focus on Financial Applications." In 2nd International Conference on Modern Trends in Engineering Technology and Management. AIJR Publisher, 2023. http://dx.doi.org/10.21467/proceedings.160.37.

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In a variety of fields including financial applications like stock market analysis deep learning has achieved amazing success in producing precise forecasts. To train deep learning models for financial forecasts, however, is a difficult undertaking that calls for careful consideration of a variety of hyperparameters and optimisation strategies. Optimisation is a technique that is part of mathematics and is used to solve analytical and numerical problems in minimisation and maximisation of functions. It is thus used for getting improved prediction in terms of quality and performance. In this pa
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Tajdari, Farzam, Christiaan Eijck, Felix Kwa, Christiaan Versteegh, Toon Huysmans, and Yu Song. "Optimal Position of Cameras Design in a 4D Foot Scanner." In ASME 2022 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/detc2022-89145.

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Abstract Optical motion capturing explains the three-Dimensional (3D) position estimation of points through triangulation employing several depth cameras. Prosperous performance relies on level of visibility of points from different cameras and the overlap of captured meshes in-between. Generally, the accuracy of the estimation is practically based on the camera parameters e.g., location and orientations. Accordingly, the camera network configurations play a key role in the quality of the estimated mesh. This paper proposes an optimal approach for camera placement based on characteristics of a
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Goyder, Hugh G. D., and Damien P. T. Lancereau. "Methods for the Measurement of Non-Linear Damping and Frequency in Built-Up Structures." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67007.

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Two key properties of a vibrating structure are the frequencies at which it resonates and its ability to absorb energy. For a linear structure, these properties are characterised by the natural frequencies and the damping ratios. For nonlinear systems, such properties may not exist and equivalents must be sought. A method of measuring equivalent properties has been developed for nonlinear systems by examining the decaying vibration time history following excitation of the system. In a first stage, the time history is filtered to separate out a frequency range of interest. In the second stage,
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Gobbi, Massimiliano. "Optimal and Robust Design of Ground Vehicle Systems." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95471.

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A new approach for the design of vehicle subsystems is addressed in the paper. The new approach is based not only on the theory of multi-objective optimisation but also on robust design. The method is characterised both by the optimisation of the objective functions (corresponding to system performance indices) and by the reduction (or minimisation) of the sensitivity (variance) of the performance indices to stochastic perturbations. Such variances are computed (very quickly) by means of an original procedure based on the global approximation of the objective functions. Additionally, with resp
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Fam, Mei Ling, Hoon Kiang Tan, Dimitrios Konovessis, and Lin Seng Ong. "A Review of Offshore Decommissioning Regulations in Three Countries: Strengths and Weaknesses." In ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/omae2017-62596.

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The decommissioning of offshore structures around the world will be a persisting problem in the coming decades as many existing structures will exceed their design life, or when the reservoirs are depleted. This paper examines an overview of regulations in countries deemed to be more experienced in decommissioning such as the UK, Norway and the USA. The regulations were identified in terms of three areas: the legal, technical and financial security framework. It is concluded that the majority of the regulations covering the technical section are similar. The major differences are between two o
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