مقایسهٔ روش‌ها

	برنامه‌ریزی پویا تصادفی	مدل مارکوف
حوزه	شبیه‌سازی	شبیه‌سازی
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1957	1906
پدیدآور	Bellman, R.; formalized for stochastic settings by Puterman, M. L.	Andrei Markov
نوع	Sequential optimization under uncertainty	Probabilistic state-transition model
منبع بنیادین	Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093	Norris, J. R. (1997). Markov Chains. Cambridge University Press, Cambridge. ISBN: 9780521633963
نام‌های دیگر	SDP, Markov Decision Process, MDP, Stochastic DP	Markov Chain, Discrete-Time Markov Chain, DTMC, Markov Process
مرتبط	6	5
خلاصه	Stochastic 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.