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चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।

पूर्णांक प्रोग्रामिंग×लक्ष्य प्रोग्रामिंग×
क्षेत्रअनुकूलननिर्णयन
परिवारProcess / pipelineMCDM
उद्भव वर्ष19581955
प्रवर्तकRalph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)Charnes, A., Cooper, W. W.
प्रकारMathematical optimisation — exact combinatorial methodMulti-objective optimisation — weighted/lexicographic goal deviation minimisation
मौलिक स्रोतWolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669Charnes, A., Cooper, W. W. (1955). Optimal estimation of executive compensation by linear programming. Management Science DOI ↗
उपनामIP, MIP, mixed-integer programming, mixed-integer linear programming
संबंधित48
सारांशInteger 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.GOAL-PROGRAMMING (Goal Programming — Minimise deviations from multiple aspiration levels) is a ranking multi-criteria decision-making (MCDM) method introduced by Charnes, A., Cooper, W. W. in 1955. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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