Mond -- Weir Type Duality in Nonsmooth Nondifferentiable Fractional Programming

Yang Yong, Zaien Hou
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Abstract

We have defined some kinds of generalized convex function in paper [1]. which generalize some of the present convex functions. In the framework of these new concepts, a Mond-Weir type dual for a class of fractional programming problem is considered. Appropriate duality results are formulated. The results obtained not only provide a measurement of sensitivity for given problems to perturbations, but also can be apply to the questions occur in resource allocation, stock cutting problem in paper industry, agricultural planning and portfolio selection etc.
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非光滑不可微分式规划中的Mond—Weir型对偶性
我们在文献[1]中定义了几种广义凸函数。它推广了一些现有的凸函数。在这些新概念的框架下,考虑了一类分式规划问题的Mond-Weir对偶。给出了适当的对偶结果。所得结果不仅可以衡量给定问题对扰动的敏感性,而且可以应用于资源配置、造纸行业的库存削减问题、农业规划和投资组合选择等问题。
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