Generalized Fractional Programming with User Interaction
30 Pages Posted: 26 Aug 2006
Date Written: June 21, 2004
The present paper proposes a new approach to solve generalized fractional programming problems through user interaction. Capitalizing on two alternatives, we review the Dinkelbach-type methods and set forth the main difficulty in applying these methods. In order to cope with this difficulty, we propose an approximation approach that can be controlled by a predetermined parameter. The proposed approach is promising particularly when a decision maker is involved in the solution process and agrees upon finding an effective but nearoptimal value in an efficient manner. The decision maker is asked to decide the parameter and our analysis shows how good is the value found by the approximation corresponding to this parameter. In addition, we present several observations that may be suitable for boosting up the performance of the proposed approach. Finally, we support our discussion through extensive numerical experiments.
Keywords: approximation approach, error analysis, generalized fractional programming, performance improvement, user interaction
JEL Classification: R4, M, M11, C61
Suggested Citation: Suggested Citation