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008 | 100825s2010 xxu| s |||| 0|eng d | ||
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_a9780387727783 _9978-0-387-72778-3 |
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050 | 4 | _aHD30.23 | |
082 | 0 | 4 |
_a658.40301 _223 |
100 | 1 |
_aFriesz, Terry L. _eauthor. |
|
245 | 1 | 0 |
_aDynamic Optimization and Differential Games _h[recurso electrónico] / _cby Terry L. Friesz. |
264 | 1 |
_aBoston, MA : _bSpringer US, _c2010. |
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300 |
_aXIV, 502 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aInternational Series in Operations Research & Management Science, _x0884-8289 ; _v135 |
|
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 | _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 | 0 | _aEconomics. | |
650 | 0 | _aMathematics. | |
650 | 0 | _aMathematical optimization. | |
650 | 0 | _aBusiness logistics. | |
650 | 1 | 4 | _aEconomics/Management Science. |
650 | 2 | 4 | _aOperations Research/Decision Theory. |
650 | 2 | 4 | _aOptimization. |
650 | 2 | 4 | _aGame Theory, Economics, Social and Behav. Sciences. |
650 | 2 | 4 | _aMathematical Modeling and Industrial Mathematics. |
650 | 2 | 4 | _aProduction/Logistics. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9780387727776 |
830 | 0 |
_aInternational Series in Operations Research & Management Science, _x0884-8289 ; _v135 |
|
856 | 4 | 0 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-0-387-72778-3 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c198106 _d198106 |