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Deterministinen kokonaislukuoptimointi×Sekalukuohjelmointi×
TieteenalaSimulointiSimulointi
MenetelmäperheProcess / pipelineProcess / pipeline
Syntyvuosi19581958–1960
KehittäjäRalph E. GomoryRalph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
TyyppiExact combinatorial optimizationMathematical optimization
AlkuperäislähdeGomory, R. E. (1958). Outline of an algorithm for integer solutions to linear programs. Bulletin of the American Mathematical Society, 64(5), 275-278. DOI ↗Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432
RinnakkaisnimetDIP, Integer Programming, IP, Integer Linear ProgrammingMIP, Mixed-Integer Linear Programming, MILP, Integer Programming
Liittyvät56
TiivistelmäDeterministic Integer Programming (DIP) is a mathematical optimization approach that finds the best solution to problems where some or all decision variables must take integer values, given fully known (deterministic) objective and constraint data. It is the classical, non-stochastic form of integer programming, foundational to operations research and combinatorial optimization since the late 1950s.Mixed-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.
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ScholarGateVertaile menetelmiä: Deterministic Integer Programming · Mixed-Integer Programming. Haettu 2026-06-15 osoitteesta https://scholargate.app/fi/compare