proposed method for solving interval valued linear fractional programming problem
الكلمات المفتاحية:
linear fractional programming, , interval valued linear fractional programming, simplex method
الملخص
This research paper presents a proposed method for solving the interval-valued linear fractional programming problem IVLFP, which takes into consideration change and instability in the data that reaches the decision maker.
The IVLFP problem that we have studied contains interval valued coefficients in the objective function and the right side of constraints: It turns out that the proposed method is feasible and capable of solving interval valued linear fractional programming problem effectively.
References
1. Martos, B. (1960) Hyperbolic Programming, Publications of the Research Institute for Mathematical Sciences. Hungarian Academy of Sciences, 5, 386-407.
2. Stancu-Minasian, I. M. (1997). Fractional Programming: Theory, Methods and Applications. Springer Netherlands.
3. Xiao, L. (2010). Neural Network Method for Solving Linear Fractional Programming. In 2010 International Conference on Computational Intelligence and Security (CIS). IEEE. https://doi.org/10.1109/cis.2010.15
4. Charnes, A., and Cooper, W.W. (1962) Programming with Linear Fractional Functionals. Naval Research Logistics Quarterly, 9, 181-186.
http://dx.doi.org/10.1002/nav.3800090303
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6. Wu, H.-C. (2007). The Karush–Kuhn–Tucker optimality conditions in an optimization problem with interval-valued objective function. European Journal of Operational Research, 176(1), 46–59. https://doi.org/10.1016/j.ejor.2005.09.007
7. Wu, H.-C. (2008). On interval-valued nonlinear programming problems. Journal of Mathematical Analysis and Applications, 338(1), 299–316. https://doi.org/10.1016/j.jmaa.2007.05.023
8. Effati, S., & Pakdaman, M. (2012). Solving the Interval-Valued Linear Fractional Programming Problem. American Journal of Computational Mathematics, 02(01), 51–55. https://doi.org/10.4236/ajcm.2012.21006.
9. Dantzig, G.B. (1947) Maximization of a Linear Function of Variables Subject to Linear Inequalities. In: Koopmans, T.C., Ed., Activity Analysis of Production and Allocation, Wiley & Chapman-Hall, New York, London, 339-347.
10. Martos, B., Andrew, & Whinston, V. (1964). Hyperbolic programming. Naval Research Logistics Quarterly, 11(2), 135–155. https://doi.org/10.1002/nav.3800110204
11. Zhang, H.-y., Wang, J.-q., & Chen, X.-h. (2014). Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems. The Scientific World Journal, 2014, 1–15. https://doi.org/10.1155/2014/645953
12. Bajalinov, E. B. (2003). Linear-Fractional Programming Theory, Methods, Applications and Software. Springer US. https://doi.org/10.1007/978-1-4419-9174-4
2. Stancu-Minasian, I. M. (1997). Fractional Programming: Theory, Methods and Applications. Springer Netherlands.
3. Xiao, L. (2010). Neural Network Method for Solving Linear Fractional Programming. In 2010 International Conference on Computational Intelligence and Security (CIS). IEEE. https://doi.org/10.1109/cis.2010.15
4. Charnes, A., and Cooper, W.W. (1962) Programming with Linear Fractional Functionals. Naval Research Logistics Quarterly, 9, 181-186.
http://dx.doi.org/10.1002/nav.3800090303
5.
6. Wu, H.-C. (2007). The Karush–Kuhn–Tucker optimality conditions in an optimization problem with interval-valued objective function. European Journal of Operational Research, 176(1), 46–59. https://doi.org/10.1016/j.ejor.2005.09.007
7. Wu, H.-C. (2008). On interval-valued nonlinear programming problems. Journal of Mathematical Analysis and Applications, 338(1), 299–316. https://doi.org/10.1016/j.jmaa.2007.05.023
8. Effati, S., & Pakdaman, M. (2012). Solving the Interval-Valued Linear Fractional Programming Problem. American Journal of Computational Mathematics, 02(01), 51–55. https://doi.org/10.4236/ajcm.2012.21006.
9. Dantzig, G.B. (1947) Maximization of a Linear Function of Variables Subject to Linear Inequalities. In: Koopmans, T.C., Ed., Activity Analysis of Production and Allocation, Wiley & Chapman-Hall, New York, London, 339-347.
10. Martos, B., Andrew, & Whinston, V. (1964). Hyperbolic programming. Naval Research Logistics Quarterly, 11(2), 135–155. https://doi.org/10.1002/nav.3800110204
11. Zhang, H.-y., Wang, J.-q., & Chen, X.-h. (2014). Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems. The Scientific World Journal, 2014, 1–15. https://doi.org/10.1155/2014/645953
12. Bajalinov, E. B. (2003). Linear-Fractional Programming Theory, Methods, Applications and Software. Springer US. https://doi.org/10.1007/978-1-4419-9174-4
منشور
2024-11-03
How to Cite
الخدامع., & النجارح. (2024). proposed method for solving interval valued linear fractional programming problem. Journal of Hama University , 7(العاشر). Retrieved from https://hama-univ.edu.sy/ojs/index.php/huj/article/view/1927
القسم
Science
