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Segmendiprognoosimine×Lineaarne programmeerimine×
ValdkondSimulatsioonOptimeerimine
PerekondProcess / pipelineProcess / pipeline
Tekkeaasta1958–19601947
LoojaRalph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)George B. Dantzig
TüüpMathematical optimizationMathematical programming / continuous optimization
AlgallikasNemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136
RööpnimetusedMIP, Mixed-Integer Linear Programming, MILP, Integer ProgrammingLP, linear optimization, Doğrusal Programlama (LP)
Seotud64
KokkuvõteMixed-Integer Programming (MIP) is a mathematical optimization framework in which some decision variables must take integer values while others may be continuous. It generalizes linear programming and is widely used in operations research, logistics, scheduling, resource allocation, and engineering design, where indivisibility constraints — such as yes/no decisions or whole-unit quantities — arise naturally.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.
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ScholarGateVõrdle meetodeid: Mixed-Integer Programming · Linear Programming. Loetud 2026-06-15 aadressilt https://scholargate.app/et/compare