Table of Contents
Advances in Decision Sciences
Volume 2014, Article ID 306456, 7 pages
http://dx.doi.org/10.1155/2014/306456
Research Article

An Improved Method for Solving Multiobjective Integer Linear Fractional Programming Problem

Department of Operational Research, Faculty of Mathematics, Houari Boumediene University of Sciences and Technology, P.O. Box 32, El-Alia Bab Ezzouar, 16111 Algiers, Algeria

Received 10 February 2014; Revised 28 May 2014; Accepted 6 June 2014; Published 1 July 2014

Academic Editor: Shelton Peiris

Copyright © 2014 Meriem Ait Mehdi et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Abbas and M. Moulaï, “Integer linear fractional programming with multiple objective,” Journal of the Italian Operations Research Society, vol. 32, no. 103-104, pp. 15–38, 2002. View at Google Scholar
  2. M. E.-A. Chergui and M. Moulaï, “An exact method for a discrete multiobjective linear fractional optimization,” Journal of Applied Mathematics and Decision Sciences, vol. 2008, Article ID 760191, 12 pages, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. R. Gupta and R. Malhotra, “Multi-criteria integer linear fractional programming problem,” Optimization, vol. 35, no. 4, pp. 373–389, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. R. Caballero and M. Hernández, “The controlled estimation method in the multiobjective linear fractional problem,” Computers & Operations Research, vol. 31, no. 11, pp. 1821–1832, 2004. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  5. A. Cambini, L. Martein, and I. M. Stancu-Minasian, “A survey of bicriteria fractional problems,” Advanced Modeling and Optimization, vol. 1, no. 1, pp. 9–46, 1999. View at Google Scholar
  6. J. P. Costa, “An interative method for multiple objective linear fractional programming problems,” OR Spectrum, vol. 27, no. 4, pp. 633–652, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. J. P. Costa, “Computing non-dominated solutions in MOLFP,” European Journal of Operational Research, vol. 181, no. 3, pp. 1464–1475, 2007. View at Publisher · View at Google Scholar · View at Scopus
  8. R. Dangwal, M. K. Sharma, and P. Singh, “Taylor series solution of multiobjective linear fractional programming problem by vague set,” International Journal of Fuzzy Mathematics and Systems, vol. 2, no. 3, pp. 245–253, 2012. View at Google Scholar
  9. N. Güzel, “A proposal to the solution of multiobjective linear fractional programming problem,” Abstract and Applied Analysis, vol. 2013, Article ID 435030, 4 pages, 2013. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. J. S. H. Kornbluth and R. E. Steuer, “Multiple objective linear fractional programming,” Management Science, vol. 27, no. 9, pp. 1024–1039, 1981. View at Google Scholar · View at Scopus
  11. B. Metev and D. Gueorguieva, “A simple method for obtaining weakly efficient points in multiobjective linear fractional programming problems,” European Journal of Operational Research, vol. 126, no. 2, pp. 386–390, 2000. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  12. S. F. Tantawy, “A new method for solving bi criterion linear fractional programming problems,” International Journal of Engineering and Innovative Technology, vol. 3, no. 3, pp. 128–133, 2013. View at Google Scholar
  13. E. Valipour, M. A. Yaghoobi, and M. Mashinchi, “An iterative approach to solve multiobjective linear fractional programming problems,” Applied Mathematical Modelling, vol. 38, no. 1, pp. 38–49, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  14. I. M. Stancu-Minasian, “A sixth bibliography of fractional programming,” Optimization, vol. 55, no. 4, pp. 405–428, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  15. I. M. Stancu-Minasian, Fractional Programming: Theory, Methods and Applications, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1997. View at Publisher · View at Google Scholar · View at MathSciNet
  16. R. Benayoun, J. de Montgolfier, J. Tergny, and O. Laritchev, “Linear programming with multiple objective functions: step method (stem),” Mathematical Programming, vol. 1, no. 1, pp. 366–375, 1971. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  17. A. Cambini and L. Martein, “Equivalence in linear fractional programming,” Optimization, vol. 23, no. 1, pp. 41–51, 1992. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  18. C. R. Seshan and V. G. Tikekar, “Algorithms for integer fractional programming,” Journal of the Indian Institute of Science, vol. 62, no. 2, pp. 9–16, 1980. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet