เปรียบเทียบวิธี

	การโปรแกรมจำนวนเต็มแบบคงทน	การโปรแกรมจำนวนเต็ม (Integer Programming
สาขาวิชา	การจำลอง	การหาค่าเหมาะที่สุด
ตระกูล	Process / pipeline	Process / pipeline
ปีกำเนิด	2003	1958
ผู้ริเริ่ม	Bertsimas, D. and Sim, M.	Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)
ประเภท	Deterministic robust optimization with integer variables	Mathematical optimisation — exact combinatorial method
แหล่งต้นตำรับ	Bertsimas, D., Sim, M. (2003). Robust discrete optimization and network flows. Mathematical Programming, 98(1-3), 49-71.	Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669
ชื่อเรียกอื่น	RIP, Robust IP, Robust Combinatorial Optimization, Integer Robust Optimization	IP, MIP, mixed-integer programming, mixed-integer linear programming
ที่เกี่ยวข้อง	6	4
สรุป	Robust Integer Programming (RIP) finds integer or binary solutions that remain feasible and near-optimal across all scenarios in a prescribed uncertainty set. Rather than assuming exact knowledge of data, RIP hedges against the worst-case realization of uncertain costs or constraint coefficients, delivering decisions that are guaranteed to perform well even when inputs deviate from their nominal values.	Integer programming (IP), also called mixed-integer programming (MIP) when only some variables are restricted to whole numbers, is a branch of mathematical optimisation in which some or all decision variables must take integer or binary values. Building on linear programming, it was formalised through Ralph Gomory's cutting-plane method (1958) and the Land-and-Doig branch-and-bound algorithm (1960), and it has since become the standard exact framework for scheduling, assignment, routing, and resource-allocation problems.