Results 211 to 220 of about 80,790 (265)

Optimality conditions in nonconical multiple-objective programming

Journal of Optimization Theory and Applications, 1983
Previous theoretical work in multiple-objective optimization has focused entirely on vector orders representable by positive cones. Here, we treat multiple-objective problems in which solutions are sought which are maximal (efficient, nondominated) under an order which may be nonconical.
Hazen, G. B., Morin, T. L.
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Duality for Multiple Objective Convex Programs

Mathematics of Operations Research, 1981
A duality theory for the problem of finding the properly efficient values of a multiple objective convex program is obtained using arguments and concepts analogous to those used by Rockafellar for scalar valued problems. A key result is that x̄ minimizes a convex, vector valued function f if and only if there is a “zero-like” subgradient of f at x ...
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Some multiple objective dynamic programs

IEEE Transactions on Automatic Control, 1985
Two examples are presented to illustrate the application of dynamic programming to Pareto optimization.
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Multiple-objective programming with polynomial objectives and constraints

European Journal of Operational Research, 1992
The authors describe a method for the numerical solution of polynomial multi-objective optimization problems. With the aid of a known scalarization result and by relaxation of constraints a solution is determined by using a homotopy approach. Examples with two objectives and one inequality constraint are discussed.
Kostreva, Michael M., Ordoyne, Thomas J., Wiecek, Malgorzata   +2 more
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Interactive Multiple Objective Programming Methods

2010
We provide an introduction to interactive methods in multiple objective programming1. Our discussion focuses on the principles to implement such methods. Our purpose is not to review existing procedures, but to provide some examples to illustrate the underlying main ideas.
Pekka Korhonen, Jyrki Wallenius
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Solving multiple objective linear programs in objective space

European Journal of Operational Research, 1990
The authors offer an algorithm for solving a multicriteria linear programming problem. It is based on analysing this problem in the objective space in which a set of all feasible objective values has, as a rule, a simpler structure than the initial polytope in the constraint space.
Dauer, Jerald P., Liu, Yi-Hsin
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An Algorithm for Multiple-objective Non-linear Programming

Journal of the Operational Research Society, 1989
Summary: An interactive algorithm to solve multiple-objective nonlinear programming (MONLP) problems is proposed. In each iteration of the proposed algorithm, the decision-maker is presented with a solution and a set of direction (trade-off) vectors indicating possible trade-offs.
Masud, Abu S.M., Zheng, Xitong
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Fuzzy Multiple Objective Linear Programming

2008
In this chapter, first a literature review on the fuzzy multi-objective linear programming (FMOLP) and then its mathematical modeling with an application is given. FMOLP is one of the multi-objective modeling techniques most frequently used in the literature.
Cengiz Kahraman, İhsan Kaya
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Linear Multiple Objective Programming

1985
Multiple objective optimisation has undergone considerable development in recent years and several approaches have been investigated. One of the closest to single objective optimisation is vector optimisation, in which efficient (non-dominated, admissible, Pareto optimal) solutions are sought.
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Multiple Objectives in Mathematical Programming

Operations Research, 1958
The abstraction from a real situation to a model suitable for mathematical programming often raises the dilemma of multiple objective functions, and of the arbitrary roles of objective functions and restrictions. This dilemma is resolved by formulating a more general model of the total objective function.
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