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Multi-objective Optimization Problem with Bounded Parameters

Published online by Cambridge University Press:  11 July 2014

Ajay Kumar Bhurjee  and
Geetanjali Panda
Ajay Kumar Bhurjee
Affiliation:
Department of Mathematics, Indian Institute of Technology Kharagpur, 721302, India.. geetanjali@maths.iitkgp.ernet.in
Geetanjali Panda
Affiliation:
Department of Mathematics, Indian Institute of Technology Kharagpur, 721302, India.. geetanjali@maths.iitkgp.ernet.in
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Abstract

In this paper, we propose a nonlinear multi-objective optimization problem whose parameters in the objective functions and constraints vary in between some lower and upper bounds. Existence of the efficient solution of this model is studied and gradient based as well as gradient free optimality conditions are derived. The theoretical developments are illustrated through numerical examples.

Keywords

Multi-objective optimization problemefficient solutionoptimality conditioninterval valued convex function
Type
Research Article
Information
RAIRO - Operations Research , Volume 48 , Issue 4 , October 2014 , pp. 545 - 558
Copyright
© EDP Sciences, ROADEF, SMAI 2014

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