Multi-choice multi-objective linear programming problem

We consider a multi-objective linear programming problem where some of the right hand side parameters of the constraints are multi-choice in nature. For some right hand side parameters of the constraints, there may exist multiple choices, out of which exactly one is to be chosen. The selection from...

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Veröffentlicht in:Journal of interdisciplinary mathematics Jg. 12; H. 5; S. 606 - 637
Hauptverfasser: Biswal, M. P., Acharya, Srikumar
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Taylor & Francis Group 01.10.2009
Schlagworte:
fuzzy multi-objective programming
multi-choice programming
Multi-objective linear programming
non-linear programming
ISSN:0972-0502, 2169-012X
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Abstract We consider a multi-objective linear programming problem where some of the right hand side parameters of the constraints are multi-choice in nature. For some right hand side parameters of the constraints, there may exist multiple choices, out of which exactly one is to be chosen. The selection from the sets should be in such a manner that the combination of choices for each set should provide best compromise solution. In order to solve the proposed multi-choice multi-objective linear programming problem, this paper proposes an equivalent mathematical model, which can be solved with the help of existing non-linear programming method. The proposed model can accommodate a maximum of sixteen choices for a single parameter. An illustrative example is presented in support of the proposed model.
AbstractList We consider a multi-objective linear programming problem where some of the right hand side parameters of the constraints are multi-choice in nature. For some right hand side parameters of the constraints, there may exist multiple choices, out of which exactly one is to be chosen. The selection from the sets should be in such a manner that the combination of choices for each set should provide best compromise solution. In order to solve the proposed multi-choice multi-objective linear programming problem, this paper proposes an equivalent mathematical model, which can be solved with the help of existing non-linear programming method. The proposed model can accommodate a maximum of sixteen choices for a single parameter. An illustrative example is presented in support of the proposed model.
Author Biswal, M. P.
Acharya, Srikumar
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  organization: Department of Mathematics , Indian Institute of Technology
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Snippet We consider a multi-objective linear programming problem where some of the right hand side parameters of the constraints are multi-choice in nature. For some...
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SubjectTerms fuzzy multi-objective programming
multi-choice programming
Multi-objective linear programming
non-linear programming
Title Multi-choice multi-objective linear programming problem
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