You are here

Transportation Problem: South-East Corner Method and a Comparative Study on the North-West Corner, South-East Corner, North-East Corner and South-West Corner Methods

Journal Name:

Publication Year:

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
The North – West Corner Method (NWCM), the South – East Corner Method (SECM), the North – East Corner Method (NECM) and the South – East Corner Method (SECM), are adopted to compute the Initial Basic Feasible Solution (IBFS) of the transportation problem. In this paper, after giving the procedure of the SECM, we show that the NWCM and the SECM lead to the same solution, as well as the NECM and the SWCM.
37
39

REFERENCES

References: 

[1] F.L. HITCHCOCK, “Distribution of a Product from several sources to numerals locations’’, Journal of Mathematical Physics, 20 (1941).
[2] T.C. KOOPMANS, “Optimum Utilization of the Transportation systems’’, Econometrica, 17 (1949).
[3] L.V. KANTOROVICH, “On the translocations of masses, Doklady Akad’’, Nauk SSr, 37 (1942), Translated in Management Science, 5, No. 1(1958).
[4] G.B. Dantzig,“Linear Programming and Extensions”, Princeton University Press, Princeton, 1963.
[5] R. PALANIYAPPA and V.VINOBA,“A study of Unbalanced Transportation problem and use of object oriented programming”, International Research Journal of pure Algebra 4(4), ISSN 2248-9037 (2014).
[6] P. L. PALLAVI and R.A. LAKSHMI, ‘‘A Mat Lab Oriented Approch to Solve the Transportation Problem ’’, International Journal of Advanced Research Foundation, 2(Issue 11) (2015).
[7] R. A. LAKSHMI and P.L. PALLAVI, ‘‘A New Approach to Study Transportation Problem Using South West Corner Rule’’, International Journal of Advanced Research Foundation, 2 (Issue 12)(2015).
[8] K.C. RAO and S.L. MISHRA,“Operations research’’, Alpha Science, Harrow, U.K. (2005).
[9] S. SINGH, G.C. DUBEY and R. SHRIVASTAVA, ‘‘A Various Method to Solve the Optimality for the Transportation Problem’’,International Journal of Mathematical Engineering and Science, 1(Issue 4) (2012).
[10] V. VINOBA and R. PALANIYAPPA, ‘‘A study on North east corner method in Transportation Problem and using of Object Oriented Programming model (C++) ’’, International Journal of Mathematics Trends and Technology, 16, No.1(2014).
[11] F. NDAYIRAGIJE, ‘‘Sur la méthode du simplexe ordinaire”, Afrique Science, Vol.12, N°6 (2016), http://www.afriquescience.net/numero6.html.

Thank you for copying data from http://www.arastirmax.com