Comparison of Results of Variant of Mixed Transportation Problem against Standard Formulation Case Study: (Ghana Bauxite Company Limited)


Authors : Philip Asiedu Kyeremateng; Kwaku Forkuoh Darkwah; Joseph Ackora-Prah

Volume/Issue : Volume 8 - 2023, Issue 1 - January

Google Scholar : https://bit.ly/3IIfn9N

Scribd : https://bit.ly/3HwSuYd

DOI : https://doi.org/10.5281/zenodo.7601798

The paper models the shipment of bauxite of Ghana Bauxite Company Limited(GBC) from the various sources of production to the various destinations as mixedtransportation problem. The paper studies the work done by Mondal et al (2012)and Mondal and Hossain (2012) in which the MVAM technique was used as solutionmethod. The original inequality constraints arrangement was mmodified to obtainedvariants of inequality arrangement for the same data set from Ghana Bauxite Company Limited. Again, the inequality arrangements in Mondal et al (2012) was givendifferent arrangement in each of the data sets with different inequality arrangement.In each case, we obtained the same solution for each variant of the inequality arrangements, first for the data set of Ghana Bauxite Company Limited, second forthe data set of Mondal et al (2012). In addition, the standard technique of solvingthe TP using MODI method with North West Corner method was applied on GBCdata set and the solution obtained previously also repeated. It is then concludedthat the formulation of the mixed transportation problem does not ddifferentiatebetween order of arrangement of the inequalities on a data set and therefore theMVAM solution method is not unique for ddifferent arrangement of inequalities onthe data set. In addition, the standard method of solution was also found to havethe same solution. However, the advantage of the MVAM is that, it is simple to use,it is also faster due to less number of iteration. It does not involve the problem ofdegeneracy as compared to the standard method.

Keywords : Transportation problem, Mixed inequality constraint, Modified Vogel'sApproximation Method (MVAM), North-west Corner Method, MODI Method.

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