A Solution Algorithm for Interval Transportation Problems via Time-Cost Tradeoff

Inci Albayrak; Mustafa Sivri; Gizem Temelcan

doi:10.24297/jam.v14i2.7417

Authors

Inci Albayrak Yildiz Technical University, Davutpasa, Istanbul, Turkey
Mustafa Sivri Yildiz Technical University, Davutpasa, Istanbul, Turkey
Gizem Temelcan Istanbul Aydin University, Kucukcekmece, Istanbul, Turkey

DOI:

https://doi.org/10.24297/jam.v14i2.7417

Keywords:

Time-cost tradeoff, Transportation problem, Interval linear programming, Decision making.

Abstract

In this paper, an algorithm for solving interval time-cost tradeoff transportation problemsis presented. In this problem, all the demands are defined as intervalto determine more realistic duration and cost. Mathematical methods can be used to convert the time-cost tradeoff problems to linear programming, integer programming, dynamic programming, goal programming or multi-objective linear programming problems for determining the optimum duration and cost. Using this approach, the algorithm is developed converting interval time-cost tradeoff transportation problem to the linear programming problem by taking into consideration of decision maker (DM).

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Author Biographies

Inci Albayrak, Yildiz Technical University, Davutpasa, Istanbul, Turkey

Department of Mathematical Engineering, Yildiz Technical University, Davutpasa, Istanbul, Turkey

Mustafa Sivri, Yildiz Technical University, Davutpasa, Istanbul, Turkey

Department of Mathematical Engineering, Yildiz Technical University, Davutpasa, Istanbul, Turkey

Gizem Temelcan, Istanbul Aydin University, Kucukcekmece, Istanbul, Turkey

Department of Computer Programming, Istanbul Aydin University, Kucukcekmece, Istanbul, Turkey

References

Allahdadi, M., and Nehi, H. M. (2013). The optimal solution set of the interval linear programming problems. ptimization Letters, 7(8), 1893-1911.

Chao-Guang, J., Zhuo-Shang, J., Yan, L., Yuan-Min, Z., and Zhen-Dong, H. (2005). Research on the fully fuzzy time-cost trade-off based on genetic algorithms. Journal of Marine Science and Application, 4(3), 18-23.

Ghazanfari, M., Yousefli, A., Ameli, M. J., and Bozorgi-Amiri, A. (2009). A new approach to solve time'cost trade-off problem with fuzzy decision variables. The International Journal of Advanced Manufacturing Technology, 42(3-4), 408-414.

Hladik, M. (2009). Optimal value range in interval linear programming. Fuzzy Optimization and Decision Making, 8(3), 283-294.

Leu, S. S., Chen, A. T., and Yang, C. H. (2001). A GA-based fuzzy optimal model for construction time'cost trade-off. International Journal of Project Management, 19(1), 47-58.

Luo, J., and Li, W. (2013). Strong optimal solutions of interval linear programming.Linear Algebra and its Applications, 439(8), 2479-2493.

Prasad, V. R., Nair, K. P. K., and Aneja, Y. P. (1993). A generalized time'cost trade-off transportation problem. Journal of the Operational Research Society, 44(12), 1243-1248.

Sengupta, A., and Pal, T. K. (2009). Fuzzy preference ordering of interval numbers in decision problems (Vol. 238, pp. xii+-165). Berlin: Springer.

Tanaka, H., Ukuda, T. andAsal, K. (1984). On fuzzy mathematical programming, Journal of Cybernetics, 3, 37-46.

Wu, H. C. (2008). On interval-valued nonlinear programming problems. Journal of Mathematical Analysis and Applications, 338(1), 299-316.

Zimmerman, H. J. (1978). Fuzzy programming and Linear programming with several objective functions, Fuzzy sets and systems, 1, 45-55.