Generalized Derivatives of the Optimal Value of a Linear Program with respect to Matrix Coefficients

نویسندگان

  • Daniel DE WOLF
  • Yves SMEERS
چکیده

We present here a characterization of the generalized derivative of the optimal value of the objective function of a linear program as a function of matrix coefficients. We generalize the result of Freund (1985) to the cases where derivatives may not be defined because of the existence of multiple primal or dual solutions. Subject classification : Parametric Linear Programming, Linear Programming Theory, Nondifferentiable Programming. Abbreviated Title : Generalized Derivatives with respect to matrix coefficients.

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تاریخ انتشار 2007