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Multi-objective Optimization Problem with BoundedParameters

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 whoseparameters in the objective functions and constraints vary in between some lower and upperbounds. Existence of the efficient solution of this model is studied and gradient based aswell as gradient free optimality conditions are derived. The theoretical developments areillustrated through numerical examples.

Keywords

Multi-objective optimization problemefficient solutionoptimality conditioninterval valued convex function

Information

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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