Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/17775
Title: A genetic algorithm for the generalised transportation problem
Authors: Ho, W
Ji, P 
Issue Date: 2005
Source: International journal of computer applications in technology, 2005, v. 22, no. 4, p. 190-197
Abstract: The generalised transportation problem (GTP) is an extension of the linear Hitchcock transportation problem. However, it does not have the unimodularity property, which means the linear programming solution (like the simplex method) cannot guarantee to be integer. This is a major difference between the GTP and the Hitchcock transportation problem. Although some special algorithms, such as the generalised stepping-stone method, have been developed, they are based on the linear programming model and the integer solution requirement of the GTP is relaxed. This paper proposes a genetic algorithm (GA) to solve the GTP and a numerical example is presented to show the algorithm and its efficiency.; The generalised transportation problem (GTP) is an extension of the linear Hitchcock transportation problem. However, it does not have the unimodularity property, which means the linear programming solution (like the simplex method) cannot guarantee to be integer. This is a major difference between the GTP and the Hitchcock transportation problem. Although some special algorithms, such as the generalised stepping-stone method, have been developed, they are based on the linear programming model and the integer solution requirement of the GTP is relaxed. This paper proposes a genetic algorithm (GA) to solve the GTP and a numerical example is presented to show the algorithm and its efficiency.
Keywords: Generalised transportation problem
Genetic algorithms
Integer programming
Publisher: InterScience
Journal: International journal of computer applications in technology 
ISSN: 0952-8091
EISSN: 1741-5047
DOI: 10.1504/IJCAT.2005.006959
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