International Journal of Mathematics Trends and Technology
Volume 57 | Number 3 | Year 2018 | Article Id. IJMTT-V57P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V57P522
In this paper, the fixed charge solid transportation problem under uncertainty is investigated. Nowadays finding an efficient solution for transportation problem is one of the main issues for organizations and industries. According to the real world, in this paper, it is assumed that the products are transported with fixed charge solid transportation problem. Besides, the fuzzy values are used conferring to the value of the parameter in the real world. In this paper, we focus on solution of fixed charge solid transportation problem transportation problem by Grey Situation Decision (GSD) making theory with membership function.
1) Srinivasan, V., & Thompson, G. L. (1972). An operator theory of parametric programming for the transportation problem-I. Naval Research Logistics Quarterly, 19(2), 205–225.
2) Lotfi, M. M., & Tavakkoli-Moghaddam, R. (2013). A genetic algorithm using priority based encoding with new operators for fixed charge transportation problems. Applied Soft Computing, 13(5), 2711–2726.
3) Altassan, K. M., EI-Sherbiny, M. M., & Abid, A. D. (2014). Artificial immune algorithm for solving the fixed charge transportation problem. Applied Mathematics Information Sciences, 8(2), 751–759.
4) Sabbagh, M. S., Ghafari, H., & Mousavi, S. R. (2015). A new hybrid algorithm for the balanced transportation problem. Computers Industrial Engineering, 82,115–126.
5) Haley, K. B. (1962). The solid transportation problem. Operational Research, 10(4), 448–463.
6) Bhatia, H. L. (1981). Indefinite quadratic solid transportation problem. Journal of Information Optimization Sciences, 2(3), 297–303.
7) Pandian, P., & Anuradha, D. (2010). A new approach for solving solid transportation problems. Applied Mathematical Sciences, 4, 3603–3610.
8) Pandian, P., & Natarajan, G. (2010). A new method for finding an optimal solution for transportation problems. International Journal of Mathematical Sciences and Engineering Applications, 4(2), 59–65.
9) Sharma, V., Dahiya, K., & Verma, V. (2010). Capacitated two-stage time minimization transportation problem. Asia-Pacific Journal of Operational Research, 27(4), 457–476.
10) Hirsch, W. M., & Dantzig, G. B. (1968). The fixed charge problem. Naval Research Logistics Quarterly, 15(3), 413–424.
11) Adlakha, V., Kowalski, K., Wang, S., Lev, B., & Shen, W. (2014). On approximation of the fixed charge transportation problem. Omega, 43(2), 64–70.
12) Buson, E., Roberti, R., & Toth, P. (2014). A reduced-cost iterated local search heuristic for the fixed-charge transportation problem. Operations Research, 62(5), 1095–1106.
13) Yang, L., & Feng, Y. (2007). A bicriteria solid transportation problem with fixed charge under stochastic environment. Applied Mathematical Modelling, 31(12),2668–2683.
14) Sheng, Y., & Yao, K. (2012a). Fixed charge transportation problem in uncertain environment. Industrial Engineering and Management Systems, 11(2), 183–187. 15) Sheng, Y., & Yao, K. (2012b). A transportation model with uncertain costs and demands. Information: An International Interdisciplinary Journal,
15(8),3179–3186.
16) Cui, Q., & Sheng, Y. (2013). Uncertain programming model for solid transportation problem. Information: An International Interdisciplinary Journal, 16(2A), 1207–1214.
17) Mou, D., Zhou, W., & Chang, X. (2013). A transportation problem with uncertain truck times and unit costs. Industrial Engineering Management Systems, 12(1), 30–35.
18) Guo, H., Wang, X., & Zhou, S. (2015). A transportation problem with uncertain costs and random supplies. International Journal of e-Navigation and Maritime Economy, 2, 1–11.
19) Yang, L., Liu, P., Li, S., Gao, Y., & Ralescu, D. A. (2015). Reduction methods of type-2 uncertain variables and their applications to solid transportation problem.Information Science, 291, 204–237.
20) K.B. Haley, The solid transportation problem, Oper. Res. 11 (1962) 446–448.
21) A.K. Bit, M.P. Biswal, S.S. Alam, Fuzzy programming approach to multi-objective solid transportation problem, Fuzzy Sets Syst. 57 (1993) 183–194.
22) F. Jime´nez, J.L. Verdegay, Uncertain solid transportation problems, Fuzzy Sets Syst. 100 (1998) 45–57.
23) F. Jime´nez, J.L. Verdegay, Solving fuzzy solid transportation problems by an evolutionary algorithm based parametric approach, Eur. J. Oper. Res.117 (1999) 485–510.
24) Y. Li, K. Ida, M. Gen, R. Kobuchi, Neural network approach for multicriteria solid transportation problem, Comput. Ind. Eng. 33 (1997) 465–468.
25) Y. Li, K. Ida, M. Gen, Improved genetic algorithm for solving multi-objective solid transportation problem with fuzzy numbers, Comput. Ind.Eng. 33 (1997) 589–592.
26) L.A. Zadeh, Fuzzy sets, Inf. Control 8 (1965) 338–353.
27) U. Deshpande, A. Gupta, A. Basu, Task assignment with imprecise information for real-time operation in a supply chain, Appl. Soft Comput.5 (2004) 101–117.
28) M. Papadrakakis, N.D. Lagaros, Soft computing methodologies for structural optimization, Appl. Soft Comput. 3 (2003) 283–300.
29) B. Liu, Theory and Practice of Uncertain Programing, Physica-Verlag,New York, 2002.
30) Bo Zhang, Jin Peng, Shengguo Li, Lin Chen, Fixed charge solid transportation problem in uncertain environment and its algorithm ,Computers & Industrial Engineering 102 (2016) 186–197
31) Lixing yang,Linzhong Liu, fuzzy Fixed charge solid transportation problem and algorithm, applied soft computing 7(2007)879-889.
Feni Chevli, Dr. Jayesh M. Dhodiya, Dr. Mukesh Patel, "A study of Solid Fixed Charge Transportation Problem and its Solution by Grey Situation Decision-Making Theory," International Journal of Mathematics Trends and Technology (IJMTT), vol. 57, no. 3, pp. 148-157, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V57P522
PDF 
Abstract 
Keywords 
References 
Citation