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A Study on Duality Theorems of Nonconvex Fractional Semi-infinite Programming

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Advances in Computer, Communication, Control and Automation

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 121))

Abstract

In the framework of the generalized convex function we defined in paper [1], a Mond–Weir type dual for a class of nonconvex fractional semi-infinite 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.

This work is supported by Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No. 11JK0488).

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Yang, Y., Hou, Z. (2011). A Study on Duality Theorems of Nonconvex Fractional Semi-infinite Programming. In: Wu, Y. (eds) Advances in Computer, Communication, Control and Automation. Lecture Notes in Electrical Engineering, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25541-0_15

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  • DOI: https://doi.org/10.1007/978-3-642-25541-0_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25540-3

  • Online ISBN: 978-3-642-25541-0

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