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Polyhedral functions and multiparametric linear programming

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Abstract

In a linear programming problem with a vector parameter appearing on the right-hand side, the minimum value of the objective is a polyhedral function of this parameter. We show how different characterizations of a polyhedral function correspond to different ways of solving the right-hand side multiparameteric linear programming problem.

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Communicated by P. L. Yu

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Schechter, M. Polyhedral functions and multiparametric linear programming. J Optim Theory Appl 53, 269–280 (1987). https://doi.org/10.1007/BF00939219

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  • DOI: https://doi.org/10.1007/BF00939219

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