Template-Type: ReDIF-Paper 1.0
Author-Name: Birbil, S.I.
Author-Name-Last: Birbil
Author-Name-First: Ilker
Author-Name: Frenk, J.B.G.
Author-Name-Last: Frenk
Author-Name-First: Hans
Author-Name: Zhang, S.
Author-Name-Last: Zhang
Author-Name-First: Shuzhong
Title: Generalized Fractional Programming With User Interaction
Abstract: 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.
Creation-Date: 2004-06-21
File-URL: https://repub.eur.nl/pub/1325/ERS%202004%20033%20LIS.pdf
File-Format: application/pdf
Series: RePEc:ems:eureri
Number: ERS-2004-033-LIS
Number: ERS-2004-033-LIS
Classification-JEL: C61, M, M11, R4
Keywords: approximation approach, error analysis, generalized fractional programming, performance improvement, user interaction
Handle: RePEc:ems:eureri:1325