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

01-12-2005

Issue

Volume 21 (December 2005)

Section

Analysis and Algebra

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.

How to Cite

New Algebraic Method for Solving the Axial N - Index Transportation Problem Based on the Kronecker Product. (2005). MATEMATIKA, 21, 113-123. https://doi.org/10.11113/matematika.v21.n.520