قارن الطرق

	التحسين الحتمي متعدد الأهداف	البرمجة الخطية متعددة الأهداف (MOLP)
المجال	المحاكاة	المحاكاة
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1951–1999	1955–1986
صاحب الطريقة	Kuhn, H. W., Tucker, A. W. (Pareto optimality formalized); Miettinen, K. (systematic deterministic framework)	Steuer, R. E.; Charnes, A.; Cooper, W. W.
النوع	Optimization framework — deterministic Pareto and scalarization methods	Mathematical optimization / vector optimization
المصدر التأسيسي	Deb, K. (2001). Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester. ISBN: 978-0-471-87339-6	Steuer, R. E. (1986). Multiple Criteria Optimization: Theory, Computation, and Application. John Wiley & Sons, New York. ISBN: 9780471888468
الأسماء البديلة	Deterministic MOO, Classical Multi-Objective Optimization, Non-Stochastic MOO, Deterministic Pareto Optimization	MOLP, Vector Linear Programming, Multi-criteria LP, Linear Vector Optimization
ذات صلة	3	3
الملخص	Deterministic Multi-Objective Optimization (Deterministic MOO) is a family of classical optimization approaches that simultaneously minimize or maximize multiple conflicting objective functions over a deterministic feasible set. It produces a Pareto front — the set of non-dominated solutions — from which a decision-maker selects the preferred trade-off. Unlike stochastic variants, all objective evaluations and constraints are fixed and noise-free.	Multi-Objective Linear Programming (MOLP) extends classical linear programming to handle several conflicting linear objective functions simultaneously over a feasible region defined by linear constraints. Instead of a single optimal solution, MOLP produces a Pareto-efficient frontier from which a decision-maker selects a preferred trade-off. It is foundational to operations research and management science for resource allocation, planning, and design problems with competing goals.