Journal
JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume -, Issue -, Pages -Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/1029-242X-2014-501
Keywords
fractional programming under uncertainty; convex programming under uncertainty; strong duality; robust optimization
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Funding
- Basic Science Research Program through National Research Foundation of Korea (NRF) - Ministry of Education [NRF-2013R1A1A2005378]
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We consider epsilon-solutions (approximate solutions) for a fractional optimization problem in the face of data uncertainty. Using robust optimization approach (worst-case approach), we establish optimality theorems and duality theorems for epsilon-solutions for the fractional optimization problem. Moreover, we give an example illustrating our duality theorems.
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