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Προγραμματισμός Ακεραίων Τιμών με Ανθεκτικότητα×Ακέραιος Προγραμματισμός×
ΠεδίοΠροσομοίωσηΒελτιστοποίηση
ΟικογένειαProcess / pipelineProcess / pipeline
Έτος προέλευσης20031958
ΔημιουργόςBertsimas, D. and Sim, M.Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)
ΤύποςDeterministic robust optimization with integer variablesMathematical optimisation — exact combinatorial method
Θεμελιώδης πηγήBertsimas, D., Sim, M. (2003). Robust discrete optimization and network flows. Mathematical Programming, 98(1-3), 49-71. DOI ↗Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669
Εναλλακτικές ονομασίεςRIP, Robust IP, Robust Combinatorial Optimization, Integer Robust OptimizationIP, MIP, mixed-integer programming, mixed-integer linear programming
Συναφείς64
ΣύνοψηRobust 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.
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ScholarGateΣύγκριση μεθόδων: Robust Integer Programming · Integer Programming. Ανακτήθηκε στις 2026-06-15 από https://scholargate.app/el/compare