Fuzzy Cost Analysis in a Fuzzy Transportation System a Study of the Supply Chain Management in a General Contractor Company
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2007
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Authors
Hossein Abdollahnejad Barough
- Department of Industrial Engineering, Payam-e-Noor University
Abstract
Transportation models play an important role in logistics and supply chain management for reducing cost and improving services. In this paper, the author presented a fuzzy transportation problem, in which the cost coefficients and supply and demand quantities are fuzzy numbers. The problem is solved in two stages. First, calculating the maximum satisfactory level and achieving balances between fuzzy supplies and demands. Second, the problem is solved by considering the unit of transportation costs and optimal solutions which are connected with fuzzy quantities’ satisfactory level are founded. The author used two different satisfactory levels for the problem: The transportation costs breaking points \((\gamma_p)\) and the values that have violated positive condition of optimal solutions in the intervals of \([\gamma_{p-1},\gamma_p]\). A new method is proposed in this paper to find optimal solutions. The proposed method is then illustrated through a numerical example.
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ISRP Style
Hossein Abdollahnejad Barough, Fuzzy Cost Analysis in a Fuzzy Transportation System a Study of the Supply Chain Management in a General Contractor Company, Journal of Mathematics and Computer Science, 2 (2011), no. 1, 184--194
AMA Style
Abdollahnejad Barough Hossein, Fuzzy Cost Analysis in a Fuzzy Transportation System a Study of the Supply Chain Management in a General Contractor Company. J Math Comput SCI-JM. (2011); 2(1):184--194
Chicago/Turabian Style
Abdollahnejad Barough, Hossein. "Fuzzy Cost Analysis in a Fuzzy Transportation System a Study of the Supply Chain Management in a General Contractor Company." Journal of Mathematics and Computer Science, 2, no. 1 (2011): 184--194
Keywords
- Fuzzy Transportation Problem
- Supply Chain Management
- Fuzzy Cost Analysis
- Linear Programming.
MSC
References
-
[1]
M. Ahlatcioglu, M. Sivri, N. Guzel, Transportation of the fuzzy amounts using the fuzzy cost, Journal of Marmara for Pure and Applied Sciences, 18 (2002), 141--157
-
[2]
E. E. Ammar, E. A. Youness, A Study on multi-objective transportation problem with fuzzy numbers, Applied Mathematics and Computation, 16 (2005), 241--253
-
[3]
S. Chanas, M. Kulej, A fuzzy linear programming problem with equality constrains, Control and Cybernetics, 13 (1984), 195--201
-
[4]
S. Chanas, W. Kołodziejczyk, A. Machaj, A fuzzy Approach to the Transportation Problem, Fuzzy Sets and Systems, 13 (1984), 211--221
-
[5]
S. Chanas, D. Kuchta, Fuzzy integer transportation problem, Fuzzy Sets and Systems, 98 (1998), 291--298
-
[6]
S. Geetha, K. P. K. Nair, A Stochastic Bottleneck Transportation Problem, Journal of Operations Research, 45 (1994), 583--588
-
[7]
M. Gen, K. Ida, Y. Li, Solving Bicriteria Solid Transportation Problem, IEEE International Conference Humans, information and Technology, 1994 (1994), 1200--1207
-
[8]
D. M. Greig, Optimization, Lonman Group Limited, 1980 (1980), 100--111
-
[9]
S. Kikuchi, A method to defuzzify the fuzzy number: Transportation problem application, Fuzzy Sets and Systems, 116 (2000), 3--9
-
[10]
N. K. Kwak, Mathematical Programming with Business Applications, McGraw-Hill, 1973 (1973), 88--149
-
[11]
Y. J. Lai, C. L. Hwang, Fuzzy Mathematical Programming, Springer-Verlag, Berlin (1992)
-
[12]
Y. Li, K. Ida, M. Gen, R. Kobuchi, Neural Network Approach for Multi-criteria Solid Transportation Problem, Computers & Industrial Engineering, 33 (1997), 465--468
-
[13]
S. T. Liu, C. Kao, Solving Fuzzy Transportation Problems based on extension principle, Eur. J. Oper. Res., 153 (2004), 661--674
-
[14]
M. OhEigeartaigh, A fuzzy transportation algorithm, Fuzzy Sets and Systems, 8 (1982), 235--243
-
[15]
J. L. Ringuest, D. B. Rinks, Interactive solutions for the linear multi-objective transportation problem, Eur. J. Oper. Res., 32 (1987), 96--106
-
[16]
W. F. A. El-Wahed, A multi-objective transportation problem under fuzziness, Fuzzy Sets and Systems, 117 (2001), 27--33
-
[17]
W. F. A. El-Wahed, S. M. Lee, Interactive fuzzy goal programming for multi objective transportation problems, Omega, 34 (2006), 158--166