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Programmation dynamique stochastique×Modèle de Markov×
DomaineSimulationSimulation
FamilleProcess / pipelineProcess / pipeline
Année d'origine19571906
Auteur d'origineBellman, R.; formalized for stochastic settings by Puterman, M. L.Andrei Markov
TypeSequential optimization under uncertaintyProbabilistic state-transition model
Source fondatriceBellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093Norris, J. R. (1997). Markov Chains. Cambridge University Press, Cambridge. ISBN: 9780521633963
AliasSDP, Markov Decision Process, MDP, Stochastic DPMarkov Chain, Discrete-Time Markov Chain, DTMC, Markov Process
Apparentées65
RésuméStochastic Dynamic Programming (SDP) is a mathematical optimization framework for sequential decision problems where outcomes are partly random. It extends Bellman's principle of optimality to stochastic environments, representing problems as Markov Decision Processes (MDPs) and computing optimal policies by solving recursive value equations over states and time periods.A Markov Model represents a system as a finite set of states and specifies the probability of moving from one state to another at each time step. By capturing only the current state — not the full history — it enables tractable analysis of complex dynamic processes across health economics, engineering reliability, operations research, and social-science modeling.
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ScholarGateComparer des méthodes: Stochastic Dynamic Programming · Markov Model. Consulté le 2026-06-15 sur https://scholargate.app/fr/compare