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2014
Optimization problems with multiple criteria measuring solution quality can be modeled as multiobjective programming problems. Because the objective functions are usually in conflict, there is not a single feasible solution that can optimize all objective functions simultaneously. An optimal solution is one that is most preferred by the decision maker (
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Optimization problems with multiple criteria measuring solution quality can be modeled as multiobjective programming problems. Because the objective functions are usually in conflict, there is not a single feasible solution that can optimize all objective functions simultaneously. An optimal solution is one that is most preferred by the decision maker (
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(p,r)-Invexity in multiobjective programming
European Journal of Operational Research, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiobjective Programming and Planning
, 1978 Multiobjective programming and ...
Cohon, Jared L
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Multiobjective programming under d-invexity
European Journal of Operational Research, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Multiobjective Linear Programming
2013The problem to optimize multiple conflicting linear objective functions simultaneously under the given linear constraints is called the multiobjective linear programming problem. This chapter begins with a discussion of fundamental notions and methods of multiobjective linear programming.
Masatoshi Sakawa +2 more
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A Duality Theorem in Multiobjective Nonlinear Programming
Mathematics of Operations Research, 1982We give a duality theorem in multiobjective nonlinear programming problems by means of conjugate set-valued functions which were introduced in (Kawasaki, H. 1981. Conjugate relations and weak subdifferentials of relations. Math. Oper. Res. 6 593–607.). The duality theorem is reflexive in the sense analogous to (Ekeland, I., R. Temam. 1976.
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Nonlinear Multiobjective Programming
2003This chapter provides an annotated bibliography of nonlinear multiobjective programming. The list of references comprises more than 500 entries. First we explain some solution concepts which are fundamental and important in multiobjective optimization. Some basic properties of the solution sets are also discussed.
Tetsuzo Tanino, Hun Kuk
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Multiobjective and Bilevel Programming
1997This last chapter is devoted to two problems of practical interest which have been the subject of extensive research in recent years. These problems are closely related to each other and can be reformulated as convex programs with an additional reverse convex constraint.
Hiroshi Konno +2 more
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Nonsmooth multiobjective programming
Numerical Functional Analysis and Optimization, 1989Necessary Lagrangian conditions are obtained for a weak minimum of a nonsmooth constrained multiobjective programming problem, assuming Lipschitzfunctions and general cone constraints. This generalizes a result of F. Clarke. A vector dual problem is deduced.
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Multiobjective dynamic programming
Mathematische Operationsforschung und Statistik. Series Optimization, 1978In this paper the method of dynamic programming is carried to recurrence computations of sets of optimal values for discrete dynamic systems and vector-valued objective functions.
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