Solution of Transportation Problem with South-East Corner Method, North-East Corner Method and Comparison with Existing Method - Open Access Library Journal

OALibJ > Vol.6 No.4, April 2019

Volume 6, Issue 4 (April 2019)

ISSN Print: 2333-9705 ISSN Online: 2333-9721

Google-based Impact Factor: 1.18 Citations

Solution of Transportation Problem with South-East Corner Method, North-East Corner Method and Comparison with Existing Method ()

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DOI: 10.4236/oalib.1105377 2,403 Downloads 6,858 Views Citations

Author(s)

Sasikala S.¹, Sridhar Akiri², Pavankumar Subbara³

Affiliation(s)

¹Department of Mathematics, GIT, GITAM Deemed to Be University, Bangalore Campus, Karnataka, India.
²Department of Mathematics, GIT, GITAM Deemed to Be University, Visakhapatnam, Andhra Pradesh, India.
³Department of Humanities & Basic Sciences, SBIT Engineering College, Khammam, Telangana, India.

ABSTRACT

Finding an initial basic feasible solution is the prime requirement to obtain an optimal solution for the transportation problems. In this paper, two methods are proposed to find an initial basic feasible solution for the transportation problems. The South-East Corner Method (SECM) and the North-East Corner Method (NECM) are adopted to compute the Initial Basic Feasible Solution (IBFS) of the transportation problem. A comparative study is carried out with existing methods like Vogel’s approximation method (VAM) which is to find an initial basic feasible solution and Modified Distribution (MODI) Method which is to find the optimal solution and the methods are also illustrated with numerical examples.

KEYWORDS

Transportation Problem, Initial Basic Feasible Solution (IBFS), Optimal Solution, Transportation Cost, South-East Corner Method (SECM), North-East Corner Method (NECM), Vogel’s Approximation Method (VAM), Modified Distribution Method (MODI)

Share and Cite:

S., S. , Akiri, S. and Subbara, P. (2019) Solution of Transportation Problem with South-East Corner Method, North-East Corner Method and Comparison with Existing Method. Open Access Library Journal, 6, 1-12. doi: 10.4236/oalib.1105377.

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