Modified form of Average Transportation Cost Method (ATCM)- an Efficient Method for Finding an Initial Basic Feasible Solution for Transportation Problem

Priyanka Malviya; Dr.Sushma Jain

doi:https://doi.org/10.14445/22315373/IJMTT-V59P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 59 | Number 1 | Year 2018 | Article Id. IJMTT-V59P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V59P501

Modified form of Average Transportation Cost Method (ATCM)- an Efficient Method for Finding an Initial Basic Feasible Solution for Transportation Problem

Priyanka Malviya, Dr.Sushma Jain

Abstract

In my previous research paper entitled “A Comparative Study Of Initial Basic Feasible Solution Methods For Transportation Problems By Using A New Method Named Average Transportation Cost Method (ATCM)”, we had developed a new technique for obtaining an initial basic feasible solution for a balanced transportation problem which is optimal or too close to optimal as compared to existing ones namely VAM, PAM and MTCM. In this research paper entitled” An efficient method which is the modified form of Average Transportation Cost Method (ATCM) ”, we established an improved form of ATCM which is more efficient and reliable as compare to ATCM for computing initial basic feasible solution which is optimal for balanced transportation problem and easy to handle by a non-mathematician in a shorter time period. A numerical example is given to show the efficiency of the method.

Keywords

Balanced Transportation Problem, Basic Feasible Solution, ATCM, VAM, PAM, MTCM method, Proposed method.

References

[1] Operations Research by Prem Kumar Gupta and D.S. Hira, Page 228-235.
[2] Goyal (1984) improving VAM for the Unbalanced Transportation Problem, Ramakrishnan (1988) discussed some improvement to Goyal’s Modified Vogel’s Approximation method for Unbalanced Transportation Problem.
[3] Putcha, Aditya K. "SPECIAL CASES OF LP PROBLEM." INDR 262 Optimization Models and Mathematical Programming, 2010: 1234-1240.
[4] Turkey, Mertin. "NEW ALTERNATE METHODS OF TRANSPORTATION." traansportation problem, 2008: 1008-1012.
[5] Operations Research by Kanti Swarup, P.K. Gupta, Manmohan, Page 247-293.
[6] Priyanka Malviya, Dr. Sushma Jain (June 2016). A Comparative Study Of Initial Basic Feasible Solution Methods For Transportation Problems By Using A New Method Named Average Transportation Cost Method, International Journal of Fundamental & Applied Research, (ISSN- 2320-7973 Volume-4 Issue -4 Month – June 2016 pp. (28– 36)).
[7] Mollah Mesbahuddin Ahmed, Aminur Rahman Khan, Faruque Ahmed, Md. Sharif Uddin, Incessant Allocation Method for Solving Transportation Problems, American Journal of Operations Research, 2016, 6, 236-244.
[8] Abdul Sattar Soomro, Gurudeo Anand Tularam, Ghulam Murtaa Bhayo; A comparative study of initial basic feasible solution methods for transportation problems, Mathematical Theory and Modeling ISSN 2224-5804 (Paper) ISSN 2225-0522 (Online) Vol.4, No.1, 2014.
[9] Mrs. Rekha Vivek Joshi, Optimization Techniques for Transportation Problems of Three Variables, IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN:2319-765X. Volume 9, Issue 1 (Nov. – Dec. 2013), PP 46-50.
[10] Reena G Patel, P. H. Bhathwala, The Advance Method for the Optimum Solution of a Transportation Problem, International Journal of Science and Research (IJSR) ISSN (Online): 2319-7064 Index Copernicus Value (2013): 6.14 | Impact Factor (2014): 5.611
[11] Sudhakar VJ, Arunnsankar N, Karpagam T (2012). A new approach for find an Optimal Solution for Transportation Problems, European Journal of Scientific Research 68254-257.
[12] M.A. Hakim, An Alternative Method to Find Initial Basic Feasible Solution of a Transportation Problem, Annals of Pure and Applied Mathematics, Vol. 1, No. 2, 2012,203-209.
[13] Abdallah A. Hlayel, Mohammad A. Alia, Solving transportation problems using the Best Candidates Method, Computer Science & Engineering: An International Journal (CSEIJ), Vol.2, No.5, October 2012.
[14] Mohammad Kamrul Hasan, Direct Methods for Finding Optimal Solution of a Transportation Problem are not Always Reliable. International Refereed Journal of Engineering and Science (IRJES) ISSN (Online) 2319-183X, (Print) 2319-1821 Volume 1, Issue 2 (October 2012), PP.46-52
[15] Veena Adlakha, Krzysztof Kowalski (2009), Alternate Solutions Analysis For Transportation problems, Journal of Business & Economics Research – November, Vol. 7.

Citation :

Priyanka Malviya, Dr.Sushma Jain, "Modified form of Average Transportation Cost Method (ATCM)- an Efficient Method for Finding an Initial Basic Feasible Solution for Transportation Problem," International Journal of Mathematics Trends and Technology (IJMTT), vol. 59, no. 1, pp. 1-3, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V59P501