Employing the arithmetic mean to find the IBFS for transportation problems

Mohammed S. Abdul Sahib; Mushtak A. K. Shiker

doi:10.53730/ijhs.v6nS6.12430

Authors

Mohammed S. Abdul Sahib Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babil - Iraq
Mushtak A. K. Shiker
mmttmmhh@yahoo.com
Department of Mathematics, College of Education for Pure Sciences, University of Babylon, Babil - Iraq

Keywords:

initial basic feasible solution, optimal solution, transportation cost

Abstract

Transportation Problem (TP) cost is a term that refers to the operating costs associated with transportation. The cost of transportation is critical in order to optimize profit. In recent time, competitive global market and enterprises must carefully organize their transportation systems in order to keep transportation costs low. Modeling this transport channel is a management choice that entails determining the most cost-effective distribution strategy for a single homogenous item. This is referred to as a transportation issue, which may be expressed mathematically as a linear programming problem. A fundamental practicable solution is always necessary in the solution method of a transportation issue in order to reach the best solution. There several classic methods to find initial basic feasible solution (IBFS). In this work, a novel strategy for obtaining (IBFS) to (TP) is presented. Numerical examples are used to explain the suggested technique.

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