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April  2008, 4(2): 343-351. doi: 10.3934/jimo.2008.4.343

Multi-parametric sensitivity analysis in piecewise linear fractional programming

1. 

Department of Mathematics, Tabriz University Tabriz, Iran

2. 

Department of Mathematics, Tabriz University, Tabriz, I.R., Iran

Received  July 2007 Revised  January 2008 Published  April 2008

In this paper, we study multi-parametric sensitivity analysis for programming problems with the piecewise linear fractional objective function in the tolerance region. We construct critical regions for simultaneous and independent perturbations in the objective function coefficients and in the right-hand-side vector of the given problem. Necessary and sufficient conditions are derived to classify perturbation parameters as 'focal' and 'non-focal'. Non-focal parameters can be deleted from the analysis, because of their low sensitivity in practice. Theoretical results are illustrated with the help of a numerical example.
Citation: Behrouz Kheirfam, Kamal mirnia. Multi-parametric sensitivity analysis in piecewise linear fractional programming. Journal of Industrial & Management Optimization, 2008, 4 (2) : 343-351. doi: 10.3934/jimo.2008.4.343
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