New Algebraic Method for Solving the Axial N - Index Transportation Problem Based on the Kronecker Product

Authors

  • Zeyad Abdel Aziz Al Zhour
  • Adem Kilicman

DOI:

https://doi.org/10.11113/matematika.v21.n.520

Abstract

A new algebraic method to solve the axial two and three - index transportation problem that is based on the Kronecker product of matrices is suggested. It is applied to solve the axial N(N > 2) - index transportation problem, as a general case. Further, the optimal feasible solution of these problem is obtained. The proposed method is considered algebraic, simple, robust and easily programmable. Keywords: Transportation problem; Kronecker product; partitioned matrix.

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Published

2005-12-01

Issue

Section

Mathematics