Bi-parametric optimal partition invariancy sensitivity analysis in linear optimization

Alireza Ghaffari-Hadigheh (), Habib Ghaffari-Hadigheh () and Tamás Terlaky ()

Central European Journal of Operations Research, 2008, vol. 16, issue 2, 215-238

Abstract: In bi-parametric linear optimization (LO), perturbation occurs in both the right-hand-side and the objective function data with different parameters. In this paper, the bi-parametric LO problem is considered and we are interested in identifying the regions where the optimal partitions are invariant. These regions are referred to as invariancy regions. It is proved that invariancy regions are separated by vertical and horizontal lines and generate a mesh-like area. It is proved that the boundaries of these regions can be identified in polynomial time. The behavior of the optimal value function on these regions is investigated too. Copyright Springer-Verlag 2008

Keywords: Linear optimization; Bi-parametric sensitivity analysis; Optimal partition; Invariancy region; Optimal value function (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1007/s10100-007-0054-7

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