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007 cr |||||||||||
008 190910s2010 mau|||||o|||| 00| 0 eng d
020 _a128292527X
040 _aarcduce
_carcduce
082 0 _222
_a658.4034
100 1 _913984
_aFriesz, Terry L.
245 1 0 _aDynamic optimization and differential games /
_cTerry L. Friesz.
_h[recurso electrónico]
260 _aBoston, MA. :
_bSpringer,
_c2010
300 _a1 recurso electrónico (508 p.)
490 0 _aInternational series in operations research & management science ;
_v135
504 _aIncluye referencias bibliográficas.
505 0 _aNonlinear Programming and Discrete-Time Optimal Control -- Foundations of the Calculus of Variations and Optimal Control -- Infinite Dimensional Mathematical Programming -- Finite Dimensional Variational Inequalities and Nash Equilibria -- Differential Variational Inequalities and Differential Nash Games -- Optimal Economic Growth -- Production Planning, Oligopoly and Supply Chains -- Dynamic User Equilibrium -- Dynamic Pricing and Revenue Management.
520 3 _aDynamic Optimization and Differential Games has been written to address the increasing number of Operations Research and Management Science problems that involve the explicit consideration of time and of gaming among multiple agents. With end-of-chapter exercises throughout, it is a book that can be used both as a reference and as a textbook. It will be useful as a guide to engineers, operations researchers, applied mathematicians and social scientists whose work involves both the theoretical and computational aspects of dynamic optimization and differential games. Included throughout the text are detailed explanations of several original dynamic and game-theoretic mathematical models which are of particular relevance in today’s technologically-driven-global economy: revenue management, oligopoly pricing, production planning, supply chain management, dynamic traffic assignment and dynamic congestion pricing. The book emphasizes deterministic theory, computational tools and applications associated with the study of dynamic optimization and competition in continuous time. It develops the key results of deterministic, continuous time, optimal control theory from both the classical calculus of variations perspective and the more modern approach of infinite dimensional mathematical programming. These results are then generalized for the analysis of differential variational inequalities arising in dynamic game theory for open loop environments. Algorithms covered include steepest descent in Hilbert space, gradient projection in Hilbert space, fixed point methods, and gap function methods.
650 4 _aINVESTIGACION OPERATIVA
_91956
650 4 _9124
_aOPTIMIZACION
650 4 _91506
_aGESTION DE LA PRODUCCION
653 4 _aCONTROL DE LA PRODUCCION
653 4 _aGESTION DE OPERACIONES
653 4 _aORGANIZACION FABRIL
856 4 _uhttps://archive.org/details/DynamicOptimizationAndDifferentialGames?q=sethi+optimal+control+theory
942 _2ddc
_cLIE
945 _aBEA
_c2019-09-10