| Issue |
RAIRO-Oper. Res.
Volume 48, Number 4, October-December 2014
|
|
|---|---|---|
| Page(s) | 545 - 558 | |
| DOI | https://doi.org/10.1051/ro/2014023 | |
| Published online | 11 July 2014 | |
Multi-objective Optimization Problem with Bounded Parameters
Department of Mathematics, Indian Institute of Technology Kharagpur, 721302,
India.
geetanjali@maths.iitkgp.ernet.in
Received:
5
September
2013
Accepted:
11
April
2014
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.
Mathematics Subject Classification: 90C25 / 90C29 / 90C30
Key words: Multi-objective optimization problem / efficient solution / optimality condition / interval valued convex function
© EDP Sciences, ROADEF, SMAI 2014
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