Duality of a Nonconvex Sum of Ratios

C. H. Scott and T. R. Jefferson
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C. H. Scott: University of California
T. R. Jefferson: University of Washington

Journal of Optimization Theory and Applications, 1998, vol. 98, issue 1, No 9, 159 pages

Abstract: Abstract For mathematical programs with objective involving a sum of ratios of affine functions, there are few theoretical results due to the nonconvex nature of the program. In this paper, we derive a duality theory for these programs by establishing their connection with geometric programming. This connection allows one to bring to bear the powerful theory and computational algorithms associated with geometric programming.

Keywords: Fractional programs; sum of ratios; geometric programs; reversed constraints (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (1)

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DOI: 10.1023/A:1022693032053

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