Tuncay Can’s Approximation Method to Obtain Initial Basic Feasible Solution to Transport Problem
Applied and Computational Mathematics
Volume 5, Issue 2, April 2016, Pages: 78-82
Received: Apr. 14, 2016; Accepted: Apr. 27, 2016; Published: May 12, 2016
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Authors
Tuncay Can, Department of Econometrics, Faculty of Economics, Marmara University, Istanbul, Turkey
Habip Koçak, Department of Econometrics, Faculty of Economics, Marmara University, Istanbul, Turkey
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Abstract
Obtaining an initial basic feasible solution to a transport problem – or a corner point in the convex polytope region – is extremely important in terms of reaching the optimal solution to the problem in the shortest time. When a transport problem is basically accepted as a linear programming problem, a degenerated solution is caused by the structure of the simplex method used when modelling with linear programming and located in a corner point sometimes at the optimal solution itself but mostly in close proximity to the optimal solution vector. One of the ways to eliminate this degenerated solution is to employ approximation methods. The main aim of this paper is to introduce Tuncay Can’s approximation method, which was developed as an alternative to the approximation methods in the literature for a balanced transport problem. Tuncay Can’s approximation method usually has less iterations than other approximation methods. In this paper, the Tuncay Can approximation method is introduced as an alternative to The North West Corner Rule, Minimum Cost Method, and the RAM and VAM methods.
Keywords
Basic Feasible Solution, Transportation Problems, Can Method, VAM, RAM
To cite this article
Tuncay Can, Habip Koçak, Tuncay Can’s Approximation Method to Obtain Initial Basic Feasible Solution to Transport Problem, Applied and Computational Mathematics. Vol. 5, No. 2, 2016, pp. 78-82. doi: 10.11648/j.acm.20160502.17
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Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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