Strong Duality and Dual Pricing Properties in Semi-Infinite Linear Programming: A non-Fourier–Motzkin Elimination Approach

Qinghong Zhang ()
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Qinghong Zhang: Northern Michigan University

Journal of Optimization Theory and Applications, 2017, vol. 175, issue 3, No 5, 702-717

Abstract: Abstract Following the idea of the conjecture for semi-infinite programming in a paper by Kortanek and Zhang, recently published in Optimization, in this paper we show that the Fourier–Motzkin elimination is not needed in the study of the strong duality and dual pricing properties for semi-infinite programming. We also prove several new results on the strong duality and dual pricing properties. Specifically, we propose a new subspace, under which the strong duality property holds. We give a necessary and sufficient condition for the dual pricing property to hold under this subspace, which is further used to examine the examples presented in the Basu–Martin–Ryan paper.

Keywords: Semi-infinite programming; Strong duality property; Dual pricing property; Fourier–Motzkin elimination; 90C31; 90C34 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10957-017-1184-2

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