二阶偶然表皮下集值分式规划问题的充分性和对偶性

Q3 Decision Sciences

Yugoslav Journal of Operations Research Pub Date : 2021-01-01 DOI:10.2298/yjor210218019d

K. Das

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引用次数: 1

摘要

在二阶广义锥凸性假设下，建立了集值分式规划问题的二阶充分KKT最优性条件。我们还利用二阶偶然表皮化的概念证明了参数型、Mond-Weir型、Wolfe型和混合型的原始问题与二阶对偶问题之间的对偶结果。

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Sufficiency and duality of set-valued fractional programming problems via second-order contingent epiderivative

In this paper, we establish second-order sufficient KKT optimality conditions of a set-valued fractional programming problem under second-order generalized cone convexity assumptions. We also prove duality results between the primal problem and second-order dual problems of parametric, Mond-Weir, Wolfe, and mixed types via the notion of second-order contingent epiderivative.

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来源期刊

Yugoslav Journal of Operations Research Decision Sciences-Management Science and Operations Research

CiteScore

2.50

自引率

0.00%

发文量

审稿时长

24 weeks