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An Introduction to Markov Decision Processes

MDP Tutorial - 1An Introduction toMarkov Decision ProcessesBob GivanRon ParrPurdue UniversityDuke UniversityMDP Tutorial - 2 OutlineMarkov Decision Processes defined (Bob) Objective functions PoliciesFinding Optimal Solutions (Ron) Dynamic programming Linear programmingRefinements to the basic model (Bob) Partial observability Factored representationsMDP Tutorial - 3 Stochastic Automata with UtilitiesAMarkov Decision Process (MDP) modelcontains: A set of possible world statesS A set of possible actionsA A real valued reward functionR(s,a) A descriptionTof each action s effects in each :the effects of an actiontaken in a state depend only on that state and not on theprior Tutorial - 4 Stochastic Automata with UtilitiesAMarkov Decision Process (MDP) modelcontains: A set of possibl

A Markov Decision Process (MDP) model contains: • A set of possible world states S • A set of possible actions A • A real valued reward function R(s,a) • A description Tof each action’s effects in each state. We assume the Markov Property: the effects of an action taken in a state depend only on that state and not on the prior history.

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