Stability of linear vector optimization problems corresponding to an efficient set

Authors
El-Banna, AH Zarea, SA
Citation
Ah. El-banna et Sa. Zarea, Stability of linear vector optimization problems corresponding to an efficient set, MATH COMP S, 57(6), 2001, pp. 335-345
Citations number
8
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICS AND COMPUTERS IN SIMULATION
ISSN journal
03784754 → ACNP
Volume
57
Issue
6
Year of publication
2001
Pages
335 - 345
Database
ISI
SICI code
0378-4754(200112)57:6<335:SOLVOP>2.0.ZU;2-O
Abstract
This paper deals with the set of all parameters corresponding to the set of all efficient points of parametric linear multiobjective programming probl ems. Here, we consider two classes of parametric optimization problems one of them is parameters in the objective functions and the other is parameter s in the right-hand side of the constraints. An algorithm for determining t his set is given. Some illustrative examples are given to clarify this algo rithm. (C) 2001 IMACS. Published by Elsevier Science B.V. All rights reserv ed.