Decomposition of multiple criteria mathematical programming problems by dynamic programming

DOI10.1080/00207727908941602zbMath0443.90095OpenAlexW2006461146MaRDI QIDQ3887258

Hisashi Mine, Masao Fukushima

Publication date: 1979

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207727908941602

zbMATH Keywords

monotonicitydecompositionseparabilityefficient solutionsreduction proceduresmultiple criteria mathematical programmingscalar criterion problems

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Sensitivity, stability, parametric optimization (90C31) Dynamic programming (90C39)

Related Items (9)

Adaptive differential dynamic programming for multiobjective optimal control ⋮ An algorithm for decomposing the parametric space in multiobjective dynamic programming problems ⋮ An interactive dynamic approach based on hybrid swarm optimization for solving multiobjective programming problem with fuzzy parameters ⋮ Multiple objective (fuzzy) dynamic programming problems: a survey and some applications ⋮ Stability on multiobjective dynamic programming problems with fuzzy parameters in the objective functions and in the constraints ⋮ An algorithm for generating efficient solutions of multiobjective dynamic programming problems ⋮ An interactive algorithm for decomposing the parametric space in fuzzy multiobjective dynamic programming problem ⋮ An interactive approach for vector optimization problems ⋮ Decomposition of multiobjective programming problems by hybrid fuzzy- dynamic programming

Cites Work

• Unnamed Item
• Maximal vectors and multi-objective optimization
• Multiple criteria decision making, 22nd International Meeting of TIMS, July 24--26, 1975, Kyoto/Japan
• Multilevel decomposition of nonlinear programming problems by dynamic programming
• Proper efficiency and the theory of vector maximization
• Decomposition of mathematical programming problems by dynamic programming and its application to block-diagonal geometric programms
• Preference Order Dynamic Programming
• Ordinal Dynamic Programming
• The Vector Maximization Problem: Proper Efficiency and Stability

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