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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 16 | Number 1 | Year 2014 | Article Id. IJMTT-V16P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V16P501

A study on North east corner method in Transportation Problem and using of Object Oriented Programming model (C++)


V. Vinoba, R. Palaniyappa
Abstract

In this paper, the North east corner [ NEM ] procedure is successfully coded and tested via many randomly generated problem instances . Based on the results we can conclude that the correctness of the newly coded NEM is promising as compared with the previously coded one. We Select very big problem of Transportation problem using Object oriented programming in C++ and develop a NEM in C++ Flowchart, Algorithm, program.In this paper submitted in screen short.

Keywords
Transportation problem, LPP, optimal solution, North east corner rule, object oriented programming.
References

[ 1 ] Reeb, J.E. and S.A., Leavengood, “Transportation problem: a special case for linear programming problems”, EM8779. Corvallis: Oregon State University Extension Service, pp. 1-35, 2002.
[ 2 ] Charnes, A. and W.W. Cooper, "The stepping stone method of explaining linear programming calculations in transportation problems", Management Science, 1(1): pp. 49-69, 1954.
[ 3 ] Dantzig, G.B., “Linear Programming and extensions”, Princeton, NJ: Princeton University press, 1963.
[ 4 ] Taha Hamdy A., “Operation Research: An introduction”, Prentice-Hall of India, 8th edition. 2006. [ 5 ] Reinfeld, N.V and Vogel, W.R., “Mathematical Programming”, Englewood Cliffs, New Jersey: prentice-Hall, pp. 59-70, 1958.
[ 6 ] Nabendu Sen et al., “A study of transportation problem for an essential item of southern part of north eastern region of India as an OR model and use of object oriented programming”, International Journal of Computer Science and Network Security, 10(4), pp. 78-86, 2010.
[ 7 ] Saleem, Z.R. and Imad, Z.R., “Hybrid two-stage algorithm for solving transportation problem”, Modern Applied Science, 6(4), pp. 12-22, 2012.
[ 8 ] R. Palaniyappa and V. Vinoba , “ A new type of transportation problem using object oriented model “ , International Journal of Mathematical Archive-4(11), 2013, 71-77
[ 9 ] 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),2014, 1-5, ISSN 2248-9037.
[ 10 ] Dr. V. Vinoba and R. Palaniyappa, “A Study of Unbalanced Transportation problem and use of object oriented programming model (Java)” International research Journal of pure Algebra - 4(6),2014, 1-4, ISSN 2248 - 9037.
[ 11 ] Winston L.W.(2010): Transportation, Alignment and transshipment problem to accompany operation research “Applied and Algorithm “, 4th edition.

Citation :

V. Vinoba, 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 (IJMTT), vol. 16, no. 1, pp. 1-8, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V16P501

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