So sánh phương pháp

	Lập trình số nguyên Bayes	Quy hoạch nguyên hỗn hợp
Lĩnh vực	Mô phỏng	Mô phỏng
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1990s–2000s	1958–1960
Người khởi xướng	Baptiste, Lassagne, Nuijten and others in Bayesian optimization community	Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
Loại	Probabilistic combinatorial optimization	Mathematical optimization
Công trình gốc	Baptiste, P., Lassagne, I., & Nuijten, W. (2001). Bayesian reasoning in mixed integer programming. European Journal of Operational Research, 130(2), 293–313.	Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432
Tên gọi khác	BIP, Bayesian combinatorial optimization, Bayesian discrete optimization, probabilistic integer programming	MIP, Mixed-Integer Linear Programming, MILP, Integer Programming
Liên quan	6	6
Tóm tắt	Bayesian Integer Programming (BIP) integrates Bayesian probabilistic reasoning with integer programming to solve combinatorial optimization problems under uncertainty. Instead of treating parameters as fixed, it encodes prior beliefs about uncertain coefficients and updates them with observed data, producing a posterior-guided search over integer-feasible solutions. The approach is widely used in scheduling, resource allocation, and supply-chain planning where data are incomplete or noisy.	Mixed-Integer Programming (MIP) is a mathematical optimization framework in which some decision variables must take integer values while others may be continuous. It generalizes linear programming and is widely used in operations research, logistics, scheduling, resource allocation, and engineering design, where indivisibility constraints — such as yes/no decisions or whole-unit quantities — arise naturally.