Solutions of Fuzzy Transportation Problem Using Best Candidates Method and Different Ranking Techniques
Authors: M. S. Annie Christi
Transportation Problem (TP) is based on supply and demand of commodities transported from one source to the different destinations. Usual methods for finding solution of TPs are North-West Corner Rule, Least Cost Method Vogel’s Approximation Method etc. The transportation costs tend to vary at each time. We can use fuzzy numbers which would give solution according to this situation. In this study the Best Candidate Method (BCM) is applied. For ranking Centroid Ranking Technique (CRT) and Robust Ranking Technique have been adopted to transform the fuzzy TP and the above methods are applied to EDWARDS Vacuum Company, Crawley, in West Sussex in the United Kingdom. A Comparative study is also given. We see that the transportation cost can be minimized by the application of CRT under BCM.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1314644Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 975
 Abdallah Ahmad Hlayel, “The Best Candidates Method for Solving Optimization Problems”, Journal of Computer Science, vol. 8(5), ISSN 1,549-3636, pp: 711-715, Science Publications (2012).
 Abdallah Ahmad Hlayel and Mohammad A. Alia, “Solving Transportation Problems Using The Best Candidates Method”, An International Journal (CSEIJ), Vol.2, No.5, pp: 23-30, October (2012).
 H. Basirzadeh, R. Abbasi, A new approach for ranking fuzzy numbers based on α cuts, JAMI, Journal of Applied Mathematics & Informatic, 26, pp: 767-778, (2008).
 H. Bazirzadeh, An approach for solving fuzzy transportation problem, Applied Mathematical Sciences, 5(32), pp: 1549-1566.
 S. Chanas, W. Kolodziejczyk and A. Machaj, “A fuzzy Approach to the Transportation Problem”, Fuzzy Sets and Systems, 13, pp: 211-221, (1984).
 C.H.Cheng, A new approach for ranking fuzzy numbers by distance method, Fuzzy sets and system s, 95, pp: 307-317, (1998).
 T. C. Chu, C. T. Tsao, Ranking fuzzy Numbers with an Area between the Centroid Point, compute. Mathematical Applications, 43, pp: 111-117(2002).
 Deepika Rani, T. R. Gulati and Amit Kumar, “A Method for Unbalanced Transportation Problems in Fuzzy Environment”, Indian Academy of Sciences, Vol. 39, Part 3, pp: 573–581(2014).
 Fegade M. R, Javdha. V. A and Moky. A, “Finding optimal Solution Transportation Problem using Interval and Triangular membership function”, European Journal of Scientific Research, vol. 16(3), pp: 415-421, (2011).
 Frederick s. Hillier and Gerald J. Lieberman Stanford University, A book of Introduction to Operations Research Seventh Edition.
 Hari Ganesh A and Jayakumar S, “Ranking of Fuzzy Numbers using Radius of Gyration of Centroids” International Journal of Basic and Applied Sciences, 3 (1) ,pp: 17-22, (2014)
 Dr. K. Kalaiarasi , Prof. S.Sindhu and Dr. M. Arunadevi, “Optimization of Trapezoidal Balanced Transportation Problem using Zero-Suffix and Robust Ranking Methodology with Fuzzy Demand and Fuzzy Supply models”, International Journal of Computing Science and Information Technology, Vol.2(2), ISSN: 2278-9669, pp: 15-19, April (2014).
 G. J. Klir and B. Yuan, Fuzzy Sets and Fuzzy Logic: Theory and Applications, Prentice-Hall, International Inc., (1995).
 R. Nagarajan and A. Solairaju, “Computing Improved Fuzzy Optimal Hungarian Assignment Problems with Fuzzy Costs under Robust Ranking Techniques”, International Journal of Computer Application, vol 6, no. 4 (2010).
 A. Nagoor Gani and V.N. Mohamed, “Solution of a Fuzzy Assignment Problem by Using a New Ranking Method”, International Journal of Fuzzy Mathematical Archive, Vol. 2, and ISSN: 2320 – 3242, pp: 8-16, (2013).
 Dr. G. Nirmala and R. Anju, “An Application of Fuzzy Quantifier in Sequencing Problem with Fuzzy Ranking Method”, Aryabhatta Journal of Mathematics & Informatics, vol. 6(1), ISSN: 0975-7139, pp: 45-52, (2014).
 Shugani Poonam, Abbas S. H. and Gupta V.K., “Fuzzy Transportation Problem of Triangular Numbers with