Generalized fractional programming with user interaction

Birbil, Ş. İlker and Frenk, J.B.G. and Zhang, S. (2007) Generalized fractional programming with user interaction. [Working Paper / Technical Report] Sabanci University ID:SU_FENS_2007/0008

[thumbnail of approx_frac.pdf] PDF
Restricted to Registered users only

Download (322kB) | Request a copy


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 near optimal 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.
Item Type: Working Paper / Technical Report
Uncontrolled Keywords: Generalized fractional programming, user interaction, approximation approach, error analysis, performance improvement
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering and Natural Sciences
Depositing User: Ş. İlker Birbil
Date Deposited: 21 Oct 2007 21:49
Last Modified: 26 Apr 2022 10:45

Actions (login required)

View Item
View Item