قارن الطرق

	البرمجة الديناميكية القائمة على الوكيل	البرمجة الديناميكية متعددة الأهداف
المجال	المحاكاة	المحاكاة
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1957 (DP); 1990s onward (ABM integration)	1957-1975
صاحب الطريقة	Bellman, R. (DP foundation); Tesfatsion, L. et al. (ABM-DP integration)	Extension of Bellman (1957); formalized by multiple authors from 1970s onward
النوع	Hybrid simulation-optimization	Exact optimization — recursive multi-objective decomposition
المصدر التأسيسي	Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516	Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516
الأسماء البديلة	ABDP, Agent-based DP, Multi-agent dynamic programming, ABM-DP	MODP, Multi-criteria dynamic programming, Vector dynamic programming, Pareto dynamic programming
ذات صلة	5	5
الملخص	Agent-based dynamic programming (ABDP) embeds Bellman's dynamic programming framework within individual agents of an agent-based model, enabling each agent to solve sequential, multi-stage decision problems using backward induction or value-function iteration. The result is a population of optimizing agents whose interactions generate emergent system-level behavior.	Multi-Objective Dynamic Programming (MODP) extends Bellman's classical dynamic programming to settings where a decision-maker must optimize several competing objectives simultaneously across a sequence of stages. Rather than a single optimal policy, it produces a Pareto-optimal set of policies — each representing a distinct trade-off profile — by propagating vector-valued value functions backward through the state space.