Conic Linear Programming Duals for Classes of Quadratic Semi-Infinite Programs with Applications

Cao Thanh Tinh () and Thai Doan Chuong ()
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Cao Thanh Tinh: Vietnam National University
Thai Doan Chuong: Saigon University

Journal of Optimization Theory and Applications, 2022, vol. 194, issue 2, No 9, 570-596

Abstract: Abstract In this paper, we first present strong conic linear programming duals for convex quadratic semi-infinite problems with linear constraints and geometric index sets. The obtained results show that the optimal values of a convex quadratic semi-infinite problem with convex compact sets and its associated conic linear programming dual problem are equal with the solution attainment of the dual program. We then prove that the conic linear programming dual is equivalently reformulated as a second-order cone programming problem whenever the index sets are ellipsoids, balls, cross-polytopes or boxes. As an application, we show that a class of separable fractional quadratic semi-infinite programs also admits second-order cone programming duality under ellipsoidal index sets.

Keywords: Semi-infinite programming; Duality; Conic linear programming; Fractional programming; Quadratic functions; 90C05; 90C22; 90C34; 90C46 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-022-02040-z

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