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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

On Stability in Multiobjective Integer Linear Programming: A Stochastic Approach

Walied H. Sharif and Omar M. Saad

Abstract

In this study we consider a multiobjective integer linear stochastic programming problem with individual chance constraints. We assume that there is randomness in the right-hand sides of the constraints only and that the random variables are normally distributed. Some stability notions for such problem are characterized. An auxiliary problem is discussed and an algorithm as well as an illustrative example is presented.

American Journal of Applied Sciences
Volume 2 No. 12, 2005, 1558-1561

DOI: https://doi.org/10.3844/ajassp.2005.1558.1561

Published On: 31 December 2005

How to Cite: Sharif, W. H. & Saad, O. M. (2005). On Stability in Multiobjective Integer Linear Programming: A Stochastic Approach. American Journal of Applied Sciences, 2(12), 1558-1561. https://doi.org/10.3844/ajassp.2005.1558.1561

Open AccessCopyright: © 2005 Walied H. Sharif and Omar M. Saad. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Multiobjective integer linear programming
  • chance-constrained technique
  • stability