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बहु-उद्देश्यीय रैखिक प्रोग्रामिंग (MOLP)×रैखिक प्रोग्रामन×बहु-उद्देश्यीय अनुकूलन×
क्षेत्रअनुकरणअनुकूलनअनुकरण
परिवारProcess / pipelineProcess / pipelineProcess / pipeline
उद्भव वर्ष1955–198619471896 (concept); 1989–2002 (evolutionary algorithms era)
प्रवर्तकSteuer, R. E.; Charnes, A.; Cooper, W. W.George B. DantzigVilfredo Pareto (concept); modern computational formulation by Goldberg and Deb et al.
प्रकारMathematical optimization / vector optimizationMathematical programming / continuous optimizationOptimization framework
मौलिक स्रोतSteuer, R. E. (1986). Multiple Criteria Optimization: Theory, Computation, and Application. John Wiley & Sons, New York. ISBN: 9780471888468Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136Deb, K. (2001). Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester. ISBN: 9780471873396
उपनामMOLP, Vector Linear Programming, Multi-criteria LP, Linear Vector OptimizationLP, linear optimization, Doğrusal Programlama (LP)MOO, Multi-Criteria Optimization, Vector Optimization, Pareto Optimization
संबंधित343
सारांशMulti-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.Linear programming (LP), pioneered by George B. Dantzig in 1947, is a mathematical method for finding the best value of a linear objective function — such as minimum cost or maximum profit — subject to a set of linear inequality and equality constraints. It is the foundational technique in operations research and underlies production planning, resource allocation, logistics, diet problems, and countless other decision-making scenarios across engineering, economics, and the natural sciences.Multi-Objective Optimization (MOO) is a mathematical and computational framework for finding solutions that simultaneously optimize two or more conflicting objective functions. Rather than collapsing all goals into a single scalar, MOO produces a set of trade-off solutions — the Pareto front — from which a decision-maker selects according to preference. It is widely used in engineering design, operations research, logistics, economics, and policy analysis.
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