New Procedure of Finding an Initial Basic Feasible Solution of the Time Minimizing Transportation Problems

Mollah Mesbahuddin Ahmed^{1},
Md. Amirul Islam^{1},
Momotaz Katun^{2},
Sabiha Yesmin^{1},
Md. Sharif Uddin^{1}

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References

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[2] Khan, A.R. (2012) Analysis and Resolution of the Transportation Problem: An Algorithmic Approach, M.Phil. Thesis, Department of Mathematics, Jahangirnagar University, Savar.

[3] Khan, A.R., Vilcu, A., Sultana, N. and Ahmed, S.S. (2015) Determination of Initial Basic Feasible Solution of a Transportation Problem: A TOCM-SUM Approach. Buletinul Institutului Politehnic Din Iasi, Romania, Sectia Automatica si Calculatoare, LXI (LXV), 1, 39-49.

[4] Khan, A.R., Banerjee, A., Sultana, N. and Islam, M.N. (2015) Solution Analysis of a Transportation Problem: A Comparative Study of Different Algorithms. Bulletin of the Polytechnic Institute of Iasi, Romania, Section Textile, Leathership, in Press.

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[6] Islam, Md.A., Khan, A.R., Uddin, M.S. and Male, M.A. (2012) Determination of Basic Feasible Solution of Transportation Problem: A New Approach. Jahangirnagar University Journal of Science, 35, 101-108.

[7] Islam, Md.A., Haque, Md.M. and Uddin, Md.S. (2012) Extremum Difference Formula on Total Opportunity Cost: A Transportation Cost Minimization Technique. Prime University Journal of Multidisciplinary Quest, 6, 125-130.

[8] Babu, Md.A., Helal, Md.A., Hasan, M.S. and Das, U.K. (2013) Lowest Allocation Method (LAM): A New Approach to Obtain Feasible Solution of Transportation Model. International Journal of Scientific and Engineering Research, 4, 1344-1348.

[9] Babu, Md.A., Helal, Md.A., Hasan, M.S. and Das, U.K. (2014) Implied Cost Method (ICM): An Alternative Approach to Find The Feasible Solution of Transportation Problem. Global Journal of Science Frontier Research-F: Mathematics and Decision Sciences, 14, 5-13.

[10] Babu, Md.A., Das, U.K., Khan, A.R. and Uddin, Md.S. (2014) A Simple Experimental Analysis on Transportation Problem: A New Approach to Allocate Zero Supply or Demand for All Transportation Algorithm. International Journal of Engineering Research & Applications (IJERA), 4, 418-422.

[11] Uddin, Md.M., Khan, A.R., Roy, S.K. and Uddin, Md.S. (2015) A New Approach For Solving Unbalanced Transportation Problem Due To Additional Supply. Bulletin of the Polytechnic Institute of Iasi, Romania, Section Textile, Leathership, in Press.

[12] Ahmed, M.M., Tanvir, A.S.M., Sultana, S., Mahmud, S. and Uddin, Md.S. (2014) An Effective Modification to Solve Transportation Problems: A Cost Minimization Approach. Annals of Pure and Applied Mathematics, 6, 199-206.

[13] Anam, S., Khan, A.R., Haque, Md.M. and Hadi, R.S. (2012) The Impact of Transportation Cost on Potato Price: A Case Study of Potato Distribution in Bangladesh. The International Journal of Management, 1, 1-12.

[14] Das, U.K., Babu, Md.A., Khan, A.R., Helal, Md.A. and Uddin, Md.S. (2014) Logical Development of Vogel’s Approximation Method (LD-VAM): An Approach to Find Basic Feasible Solution of Transportation Problem. International Journal of Scientific & Technology Research (IJSTR), 3, 42-48.

[15] Das, U.K., Babu, Md.A., Khan, A.R. and Uddin, Md.S. (2014) Advanced Vogel’s Approximation Method (AVAM): A New Approach to Determine Penalty Cost for Better Feasible Solution of Transportation Problem. International Journal of Engineering Research & Technology (IJERT), 3, 182-187.

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[21] Garfinkel, R.S. and Rao, M.R. (1971) The Bottleneck Transportation Problem. Naval Research Logistics Quarterly, 18, 465-472. Http://Dx.Doi.Org/10.1002/Nav.3800180404

[22] Szwarc, W. (1971) Some Remarks on the Transportation Problem. Naval Research Logistics Quarterly, 18, 473-485.
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[23] Nikolic, I. (2007) Total Time Minimizing Transportation Problem. Yugoslav Journal of Operations Research, 17, 125-133. Http://Dx.Doi.Org/10.2298/YJOR0701125N