Minimizing Balanced Transportation Cost Problems of Homogenous Products

  Berhe Zewde Aregawi

This paper presents a model for analyzing the generalized transport cost of distributing homogeneous products from three sources to four destinations. A line with this model an associated objective value is to minimize the transportation cost using mathematical methods or linear programming methods such as: North west-corner, Least-cost and Vogel approximation methods. The objective of this paper is necessity of using the methods to be having a minimum transportation cost better than of random use of distributing the homogeneous products from the sources to the shops. Transportation cost problem has been considered as one of the important applications of linear programming problems. The transportation problem model is to determine the schedule for transportation of goods from sources to destinations in such a way that minimize the road cost and satisfies all the demand and supply constraints. In this study, the above three methods for solving transportation cost problem has been discussed and compared for finding an optimal solution for a one problem formation which are using northwest-corner method is 2400 birr, Least-cost method is 2450 birr and using Vogel approximation method is 2300 birr but using random distribution of products from the sources to the shop is more than 2580 birr. Hence the preferable method of minimizing transportation cost is Vogel’s approximation method.

Keywords- Linear programming, Transportation problem, Transportation cost, Minimizing Transportation cost

Unique Identification Number - IJEDR1802062
Page Number(s) - 357-363
Pubished in - Volume 6 | Issue 2 | April 2018
DOI (Digital Object Identifier) -   
Publisher - IJEDR (ISSN - 2321-9939)

  Berhe Zewde Aregawi,   "Minimizing Balanced Transportation Cost Problems of Homogenous Products", International Journal of Engineering Development and Research (IJEDR), ISSN:2321-9939, Volume.6, Issue 2, pp.357-363, April 2018, Available at :http://www.ijedr.org/papers/IJEDR1802062.pdf