Search results for " optimality"

showing 6 items of 46 documents

Existence and Optimality of Nash Equilibria in Inventory Games

2005

Abstract This paper studies the stability and optimality of a distributed consensus protocol for n -player repeated non cooperative games under incomplete information. At each stage, the players choose binary strategies and incur in a payoff monotonically decreasing with the number of active players. The game is specialized to an inventory application, where fixed costs are shared among all retailers, interested in whether reordering or not from a common warehouse. The authors focus on Pareto optimality as a measure of coordination of reordering strategies, proving that there exists a unique Pareto optimal Nash equilibrium that verifies certain stability conditions.

TheoryofComputation_MISCELLANEOUSComputer Science::Computer Science and Game TheoryNon-cooperative gameMathematical optimizationStochastic gameTheoryofComputation_GENERALInventory control Stability Optimality Nash equilibriumInventory control; Nash equilibrium; Optimality; Stability;symbols.namesakeNash equilibriumBest responseRepeated gamesymbolsEconomicsCoordination gameEpsilon-equilibriumRisk dominanceMathematical economics
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Méthodes géometriques en mécanique spatiale et aspects numériques

2005

We present in this thesis two research projectson the optimal control of the space vehicles.In the first, we have dealt with the orbit transferproblem. We study the minimum time control of a satellite that we want to reach a geostationary orbit. Our contribution is of two kinds. Geometric, first, since we study the controllability of the system together with the geometry of the transfer (structure of the command) by means of geometric control without state constraint tools (minimum principle). Then we present shootingalgorithm and homotopy method. These approaches allow the numerical resolution of problems with strong or low thrust satellites.The second project concerns to the calculation o…

[ MATH ] Mathematics [math]algorithme de tir multipleorbital transfer[MATH] Mathematics [math]<br /> optimal control with state constraints<br />méthode de continuationtransfert orbitalnecessary optimality conditionshomotopy method.rentrée atmosphériqueconditions nécessaires d'optimalitéatmospheric re-entry<br /> multiple shooting algorithm[MATH]Mathematics [math]contrôle optimal avec contraintes sur l'état<br />méthode de continuation.méthodes numériques indirectes
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Optimality results in orbit transfer

2007

Abstract The objective of this Note is to present optimality results in orbital transfer. Averaging of the energy minimization problem is considered, and properties of the associated Riemannian metric are discussed. To cite this article: B. Bonnard, J.-B. Caillau, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC]0209 industrial biotechnologyMathematical optimization010102 general mathematics[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC]02 engineering and technologyGeneral MedicineEnergy minimization01 natural sciencesD optimalityTransfer (group theory)020901 industrial engineering & automationMetric (mathematics)Applied mathematics[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]0101 mathematicsOrbital maneuverOrbit (control theory)ComputingMilieux_MISCELLANEOUSMathematicsComptes Rendus Mathematique
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A data-driven surrogate-assisted evolutionary algorithm applied to a many-objective blast furnace optimization problem

2017

A new data-driven reference vector-guided evolutionary algorithm has been successfully implemented to construct surrogate models for various objectives pertinent to an industrial blast furnace. A total of eight objectives have been modeled using the operational data of the furnace using 12 process variables identified through a principal component analysis and optimized simultaneously. The capability of this algorithm to handle a large number of objectives, which has been lacking earlier, results in a more efficient setting of the operational parameters of the furnace, leading to a precisely optimized hot metal production process. peerReviewed

data-driven optimizationPareto optimalityEngineeringBlast furnaceMathematical optimizationOptimization problemmodel managementblast furnaceEvolutionary algorithm02 engineering and technologyMulti-objective optimizationIndustrial and Manufacturing Engineering020501 mining & metallurgyData-drivenironmakingoptimointi0202 electrical engineering electronic engineering information engineeringGeneral Materials Scienceta113business.industrypareto-tehokkuusMechanical EngineeringProcess (computing)metamodelingMetamodeling0205 materials engineeringmulti-objective optimizationMechanics of MaterialsPrincipal component analysis020201 artificial intelligence & image processingbusinessrautateollisuus
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Why Use Interactive Multi-Objective Optimization in Chemical Process Design?

2008

Problems in chemical engineering, like most real-world optimization problems, typically, have several conflicting performance criteria or objectives and they often are computationally demanding, which sets special requirements on the optimization methods used. In this chapter, we point out some shortcomings of some widely used basic methods of multi-objective optimization. As an alternative, we suggest using interactive approaches where the role of a decision maker or a designer is emphasized. Interactive multi-objective optimization has been shown to suit well for chemical process design problems because it takes the preferences of the decision maker into account in an iterative manner tha…

scalarizationPareto optimalityOptimization problemComputer scienceCompromisemedia_common.quotation_subjectProcess designcomputer.software_genreUSableMulti-objective optimizationMultiple criteria decision making (MCDM)Conflicting objectiveskemian tekniikkaPareto-optimaalisuusMonitavoitteinen päätöksenteko (MCDM)media_commonPoint (typography)Multimediainteraktiiviset menetelmätInformation and Computer Scienceskalarisointiinteractive methodsIndustrial engineeringmonitavoitteinen päätöksentekochemical engineeringcomputer
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Bilevel heat exchanger network synthesis with an interactive multi-objective optimization method

2012

Abstract Heat exchanger network synthesis (HENS) has been an active research area for more than 40 years because well-designed heat exchanger networks enable heat recovery in process industries in an energy- and cost-efficient manner. Due to ever increasing global competition and need to decrease the harmful effects done on the environment, there still is a continuous need to improve the heat exchanger networks and their synthesizing methods. In this work we present a HENS method that combines an interactive multi-objective optimization method with a simultaneous bilevel HENS method, where the bilevel part of the method is based on grouping of process streams and building aggregate streams …

ta212MINLPNUMBUSPareto optimalityEngineeringMathematical optimizationEngineering drawingta214business.industryta111Aggregate (data warehouse)Synheat modelProcess (computing)Energy Engineering and Power TechnologyWork in processMulti-objective optimizationIndustrial and Manufacturing EngineeringWeightingGrouping of processHeat recovery ventilationHeat exchangerbusinessta218Energy (signal processing)Applied Thermal Engineering
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