Solution of Multi-Objective Transportation Problem Via Fuzzy Programming Algorithm
Science Journal of Applied Mathematics and Statistics
Volume 2, Issue 4, August 2014, Pages: 71-77
Received: Jul. 9, 2014;
Accepted: Jul. 15, 2014;
Published: Jul. 30, 2014
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Osuji, George A., Department of Statistics, Nnamdi Azikiwe University, PMB 5025, Awka Anambra State, Nigeria
Okoli Cecilia N., Department of Statistics, Anambra State University, PMB 02, Uli Anambra State
Opara, Jude, Department of Statistics, Imo State University, PMB 2000, Owerri, Nigeria
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This paper is on the solution of multi-objective transportation problem via fuzzy programming algorithm. The data for this paper was collected by an egg dealer in whose main office is located at Orji Owerri Imo State Nigeria, who supplies the product to different wholesalers (destinations) after taking it from different poultry farm (sources), and the time and cost of transportation from source i to destination j were recorded. TORA statistical software was employed in the data analysis, and the results of the analysis revealed that if we use the hyperbolic membership function, then the crisp model becomes linear. The result also revealed that the optimal compromise solution does not alter if we compare it with the solution obtained by the linear membership function. Thus, if we compare it with the solution obtained by the linear membership function, it is shown that the fuzzy optimal values do not depend on the chosen membership function be it linear or non-linear membership function.
MOTP, Transportation Problem, Fuzzy Programming Algorithm, Hyperbolic Membership Function, Linear Membership Function, Optimization Problem
To cite this article
Osuji, George A.,
Okoli Cecilia N.,
Solution of Multi-Objective Transportation Problem Via Fuzzy Programming Algorithm, Science Journal of Applied Mathematics and Statistics.
Vol. 2, No. 4,
2014, pp. 71-77.
Lau, H. C.W., Chan, T.M., Tsui, W. T., Chan, F. T. S., Ho, G. T. S. and Choy, K. L., A (2009): fuzzy guided multi-objective evolutionary algorithm model for solving transportation problem, Expert System with Application: An International Journal, Vol. 36,2009, pp.8255-8268.
Osuji G. A. Opara J., Nwobi A. C., Onyeze V., Iheagwara A. I.(2013): Paradox Algorithm in Application of a Linear Transportation Problem. American Journal of Applied Mathematics and Statistics, 2014, Vol. 2, No. 1,10-15. DOI:10.12691/ajams-2-1-3
Surapati, P. and Roy, T. K. (2008). Multi-objective transportation model with fuzzy parameters: Priority based fuzzy goal programming approach, Journal of Transportation System Engineering and Informational Technology, Vol. 8, 2008, pp 40-48
Wahed, W. F. and Lee, S. M. (2006). Interactive fuzzy goal programming for multi-objective transportation problems, Omega, Vol. 34, 2006, pp. 158-166.
Zangiabadi, M. and Maleki, H. R. (2007). Fuzzy goal programming for multi-objective transportation problems, Applied Mathematics Computation, Vol. 24-2007, pp. 449-460.