قارن الطرق

	البرمجة الهدفية المتينة	البرمجة الخطية متعددة الأهداف
المجال	المحاكاة	المحاكاة
العائلة	Process / pipeline	Process / pipeline
سنة النشأة	1961 (GP); 1990s (robust extension)	1961
صاحب الطريقة	Charnes, A. & Cooper, W. W. (goal programming); Mulvey, J. M. et al. (robust optimization framework)	Charnes, A. and Cooper, W. W.
النوع	Mathematical programming under uncertainty	Mathematical programming / multi-criteria optimization
المصدر التأسيسي	Charnes, A., Cooper, W. W. (1961). Management Models and Industrial Applications of Linear Programming. Wiley, New York. ISBN: 9780471155041	Charnes, A., Cooper, W. W. (1961). Management Models and Industrial Applications of Linear Programming. Wiley, New York. ISBN: 978-0471148258
الأسماء البديلة	RGP, Goal Programming under Uncertainty, Robust GP, Uncertainty-Aware Goal Programming	MOGP, Multi-goal programming, Vector goal programming, Multi-criteria goal programming
ذات صلة	5	4
الملخص	Robust Goal Programming (RGP) extends classical goal programming to handle uncertain or ambiguous model parameters. Instead of minimizing deviations from crisp targets, it seeks solutions that remain feasible and near-optimal across a range of plausible scenarios or uncertain data realizations. RGP is particularly valuable in planning problems where goals are aspirational and input data carries inherent variability or estimation error.	Multi-Objective Goal Programming (MOGP) is a mathematical programming technique that simultaneously pursues several aspirational targets by minimizing weighted deviations from each goal. Rooted in Charnes and Cooper's original goal programming framework (1961), MOGP extends it to handle multiple competing objectives, making it indispensable in operations research, supply chain design, resource allocation, and policy analysis where decision-makers must satisfy — or come close to — multiple conflicting requirements at once.