So sánh phương pháp

	Quy hoạch nguyên hỗn hợp ngẫu nhiên	Mô phỏng Monte Carlo
Lĩnh vực	Mô phỏng	Ra quyết định
Họ	Process / pipeline	MCDM
Năm ra đời	1990s–2000s	1949
Người khởi xướng	Birge, J. R.; Louveaux, F.; Sen, S.	Metropolis, N., Ulam, S.
Loại	Stochastic optimization model	Robustness wrapper — Monte Carlo uncertainty propagation
Công trình gốc	Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer Series in Operations Research. New York: Springer. ISBN: 9780387982175	Metropolis, N., Ulam, S. (1949). The Monte Carlo method. Journal of the American Statistical Association
Tên gọi khác	SMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILP	—
Liên quan	5	0
Tóm tắt	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.	MONTE-CARLO-SIMULATION (Monte Carlo Simulation — Stochastic uncertainty propagation through MCDM model) is a ranking multi-criteria decision-making (MCDM) method introduced by Metropolis, N., Ulam, S. in 1949. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.