Geodesic
Multi-objective Optimization Problem with Bounded Parameters
RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 4, pp. 545-558

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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.

DOI : 10.1051/ro/2014023
Classification : 90C25, 90C29, 90C30
Keywords: multi-objective optimization problem, efficient solution, optimality condition, interval valued convex function 
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     author = {Bhurjee, Ajay Kumar and Panda, Geetanjali},
     title = {Multi-objective {Optimization} {Problem} with {Bounded} {Parameters}},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {545--558},
     publisher = {EDP-Sciences},
     volume = {48},
     number = {4},
     year = {2014},
     doi = {10.1051/ro/2014023},
     mrnumber = {3264393},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2014023/}
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Bhurjee, Ajay Kumar; Panda, Geetanjali. Multi-objective Optimization Problem with Bounded Parameters. RAIRO - Operations Research - Recherche Opérationnelle, Tome 48 (2014) no. 4, pp. 545-558. doi: 10.1051/ro/2014023

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