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2008, Volume 4, Issue 2: 343-351. Doi: 10.3934/jimo.2008.4.343
This issue Previous Article Errata to:''Optimal preemptive online scheduling to minimize $l_{p}$ norm on two processors''[Journal of Industrial and Management Optimization, 1(3) (2005), 345-351.] Next Article A filled function method for constrained nonlinear integer programming

Multi-parametric sensitivity analysis in piecewise linear fractional programming

  • 1.

    Department of Mathematics, Tabriz University Tabriz

  • 2.

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

Received:  June 30, 2007
Revised:  December 31, 2007
Published:  March 2008
Abstract Related Papers Cited by
    Abstract
  • 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.
    Mathematics Subject Classification: Primary: 90C31; Secondary: 90C32.

    Citation:
    shu

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