Linganisha mbinu

	Deterministic Dynamic Programming	Mfumo wa Markov
Nyanja	Uigaji	Uigaji
Familia	Process / pipeline	Process / pipeline
Mwaka wa asili	1957	1906
Mwanzilishi	Richard E. Bellman	Andrei Markov
Aina	Exact sequential optimization algorithm	Probabilistic state-transition model
Chanzo asilia	Bellman, R. E. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516	Norris, J. R. (1997). Markov Chains. Cambridge University Press, Cambridge. ISBN: 9780521633963
Majina mbadala	DDP, Deterministic DP, Classical Dynamic Programming, Bellman Dynamic Programming	Markov Chain, Discrete-Time Markov Chain, DTMC, Markov Process
Zinazohusiana	6	5
Muhtasari	Deterministic Dynamic Programming (DDP) is a mathematical optimization technique that decomposes a multi-stage decision problem into a sequence of simpler subproblems, solving them exactly when all system parameters — transition functions, costs, and rewards — are known with certainty. It guarantees a globally optimal policy via Bellman's principle of optimality.	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.