Computer Programming Language Solution to a Transportation Problem Involving a Concave Cost Function
Opara Jude *
Department of Mathematics and Statistics, Ignatius Ajuru University of Education, Rivers State, P.M.B. 5047, Port Harcourt, Nigeria.
Ojekudo, Nathaniel Akpofure
Department of Mathematics and Statistics/Computer Science, Ignatius Ajuru University of Education, Rivers State, P.M.B. 5047, Port Harcourt, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
The work is on computer programming language solution to a transportation problem involving a concave cost function. Two computer programming languages; Wolfram Mathematica and Anaconda Python programming tools were employed in this study to effectively solve four real life examples from published works. The results from the programming languages yielded an optimal value of N253,000 with an optimal solution as z12 = 13, z22 = 5, z23 = 8, z31 = 11 and z33 = 4 in the first example and the remaining three examples were successfully solved with optimal values of N377,000, GH¢ 236,000 and N509,000 respectively, and the results agreed with the results of existing Karush-Kuhn-Tucker (KKT) procedure of Modified Distribution Method.
Keywords: Volume discount, Karush-Kuhn-Tucker, concave cost function, transportation problem, optimal solution