A Modified Vogel Approximation Method for Solving Balanced Transportation Problems
Keywords:
Balanced Transportation Problem, Modified Vogel Approximation Method, Vogel Approximation Method, Standard Deviation of Costs.Abstract
A modified Vogel Approximation Method is proposed and compared with those of the existing methods available for solving balanced transportation problems (in linear programming) for Basic Feasible Solutions (IBFS). The method is shown to be better than existing ones (excluding Vogel Approximation Method) since it does not only considers each unit cost in its solution algorithm, but also minimises total cost (comparatively) just like Vogel Approximation Method.References
[1] J. K. Sharma. Transportation Problem: Operations Research – Theory and Applications, Macmillan Publishers India Limited: Delhi, 2009, pp. 259-312.
[2] H. A. Taha. Transportation Problem: Operations Research – Theory and Applications, Prentice-Hall International, Inc: USA 1997,pp. 165-185.
[3] T. Pawan, P. Bhagivah, and H. S. Dhami. “Development of an Algorithm for all Types of Transportation Problems.” International Journal of Computer Applications,Vol. 30, No. 6, pp. 24 – 30, 2011.
[4] H. Denis, G. K. Leo, M. L. Ramon and J. C. M. Vromans. “Operations Research in Passenger Railway Transportation.” Econometric Institute Report E12005 – 16, 2002.
[5] D. Bijulal. (2013). “Transportation Problem: MBA 202 – Operations Research. College of Engineering” Trivaddium. (http://kbase.cet.ac.in/el/cet/pluginfile.php/...)
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[7] S. Gaurav, S. H. Abbas, and V. J. Gupta. “Solving Transportation Problem with the Various Method.” Asian Journal of Current Engineering and Maths. Vol. 1, No. 3, pp. 81 – 83, 2012.
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[9] J. Reeb and S. Leavengood. “Transportation Problem – A Special Case for Linear Programming Problems.”Operations Research. Performance Excellence in the Wood Products Industry, 2002.
[2] H. A. Taha. Transportation Problem: Operations Research – Theory and Applications, Prentice-Hall International, Inc: USA 1997,pp. 165-185.
[3] T. Pawan, P. Bhagivah, and H. S. Dhami. “Development of an Algorithm for all Types of Transportation Problems.” International Journal of Computer Applications,Vol. 30, No. 6, pp. 24 – 30, 2011.
[4] H. Denis, G. K. Leo, M. L. Ramon and J. C. M. Vromans. “Operations Research in Passenger Railway Transportation.” Econometric Institute Report E12005 – 16, 2002.
[5] D. Bijulal. (2013). “Transportation Problem: MBA 202 – Operations Research. College of Engineering” Trivaddium. (http://kbase.cet.ac.in/el/cet/pluginfile.php/...)
[6] J. Y. Wang. “The Transportation and Assignment Problems” in Operations Research, College of Management, NCTU,2008,
[7] S. Gaurav, S. H. Abbas, and V. J. Gupta. “Solving Transportation Problem with the Various Method.” Asian Journal of Current Engineering and Maths. Vol. 1, No. 3, pp. 81 – 83, 2012.
[8] D. Klingman and R. Russell. “The Transportation Problem with Mixed Constraints.” Journal of Operational Research Society. Vol. 25, pp. 447-455, 1974. (http://www.palgrave-journals.com)
[9] J. Reeb and S. Leavengood. “Transportation Problem – A Special Case for Linear Programming Problems.”Operations Research. Performance Excellence in the Wood Products Industry, 2002.
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Published
2015-12-20
How to Cite
ugbe, thomas adidaumbe, Akpan, S., Usen, J., & Ajah, O. (2015). A Modified Vogel Approximation Method for Solving Balanced Transportation Problems. American Scientific Research Journal for Engineering, Technology, and Sciences, 14(3), 289–302. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/1074
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