قارن الطرق

	البرمجة الصحيحة	البحث المحظور
المجال	التحسين	التحسين
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1958	1989
صاحب الطريقة	Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)	Fred Glover
النوع	Mathematical optimisation — exact combinatorial method	Local-search metaheuristic
المصدر التأسيسي	Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669	Glover, F. (1989). Tabu Search — Part I. ORSA Journal on Computing, 1(3), 190–206.
الأسماء البديلة	IP, MIP, mixed-integer programming, mixed-integer linear programming	Tabu Araması (Tabu Search), TS, tabu metaheuristic
ذات صلة	4	4
الملخص	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.	Tabu Search is a local-search metaheuristic introduced by Fred Glover in 1989 that uses a tabu list — a short-term memory of recently visited solutions — to prevent cycling and escape local optima. By explicitly forbidding moves that reverse recent decisions, the algorithm explores the search space more broadly and, through long-term memory structures such as aspiration criteria, aims to approach the global optimum even in large, complex combinatorial problems.