Int. J. Industrial and Systems Engineering, Vol. 30, No. 2, 2018 193
Copyright © 2018 Inderscience Enterprises Ltd.
New heuristic to generate an initial basic feasible
solution for the balanced transportation problem
Youssef Harrath* and Jihene Kaabi
College of Information Technology,
University of Bahrain,
P.O. Box 32038, Kingdom of Bahrain
Email: yharrath@uob.edu.bh
Email: jkaapi@uob.edu.bh
*Corresponding author
Abstract: This paper studied the balanced transportation problem. Many
algorithms were developed to solve optimally this problem. The most
commonly used method is the modified distribution method (MODI). The
MODI algorithm starts by generating an initial basic feasible solution using the
northwest corner method (NCM). In general, the cost of the initial basic
feasible solution generated by NCM is too high and far away from the optimal
cost. For this reason, we propose in this paper a new method to generate an
initial basic feasible solution to the balanced transportation problem to solve
this issue. This method, named Global Minimum Method (GMM), was tested
and compared with the NCM, the minimum cost method (MCM), the Vogel’s
approximation method (VAM), and the optimal cost obtained by MODI. The
computational results proved that the new heuristic is promising for small size
instances and outperforms all other methods for big size problems.
Keywords: linear programming; LP; transportation problem; basic feasible
solution.
Reference to this paper should be made as follows: Harrath, Y. and Kaabi, J.
(2018) ‘New heuristic to generate an initial basic feasible solution for the
balanced transportation problem’, Int. J. Industrial and Systems Engineering,
Vol. 30, No. 2, pp.193–204.
Biographical notes: Youssef Harrath is an Assistant Professor in the
Department of Computer Science at College of Information Technology, the
University of Bahrain since 2010. He received his BSc degree in Applied
Mathematics from the University of Science, Monastir-Tunisia in 1998. He
obtained his MSc degree in Operational Research, Combinatorial, and
Optimisation from the International Polytechnic Institute, Grenoble-France in
2000. He received his PhD in Computer Science from the University of Science
and Technique, Besançon-France in 2003. He has 12 years of teaching
experience as an Assistant Professor at University of Bahrain, KFUPM,
Saudi Arabia, High Institute of Applied Computer Sciences of Lorraine: Nancy,
France, and National Institute of Applied Science, Rouen, France. He is
actively working in many research areas such as: scheduling under availability
constraints, optimisation techniques, and genetic algorithms.
Jihene Kaabi is an Assistant Professor at the College of Information
Technology, University of Bahrain. She received her BSc in Applied
Mathematics from the University of Science, Monastir-Tunisia in 1999. She
obtained her MSc degree in Operational Research, Combinatorial, and
Optimisation from the International Polytechnic Institute, Grenoble-France in