เปรียบเทียบวิธี

	การโปรแกรมเชิงจำนวนเต็มผสมเชิงสุ่ม	Stochastic Dynamic Programming
สาขาวิชา	การจำลอง	การจำลอง
ตระกูล	Process / pipeline	Process / pipeline
ปีกำเนิด	1990s–2000s	1957
ผู้ริเริ่ม	Birge, J. R.; Louveaux, F.; Sen, S.	Bellman, R.; formalized for stochastic settings by Puterman, M. L.
ประเภท	Stochastic optimization model	Sequential optimization under uncertainty
แหล่งต้นตำรับ	Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer Series in Operations Research. New York: Springer. ISBN: 9780387982175	Bellman, R. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780486428093
ชื่อเรียกอื่น	SMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILP	SDP, Markov Decision Process, MDP, Stochastic DP
ที่เกี่ยวข้อง	5	6
สรุป	Stochastic Mixed-Integer Programming (SMIP) is an optimization framework that finds the best mix of binary, integer, and continuous decisions when key parameters — costs, demands, capacities — are uncertain and modeled as probability distributions over a set of scenarios. It extends classical MIP by embedding scenario trees or expected-value objectives that hedge against uncertainty while respecting combinatorial constraints.	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.