Effect of stable costs on Optimum Solution for Numerical Programming Model

Abstract

Numerical programming can be applied with different jobs. On other hand, numerical programming problems are generally more complicated and longer time to solve than linear programming. In this paper, a study case of production planning and distribution is taken. In this problem, there are four factories; for each factory a stable cost. Each factory produces four types of products which are transferred to five central query centers. The researcher formulates the problem with two cases, first case: building a mathematical model for the problem using perfect numerical programming model without considering stable costs in formulation. The model is solved by package program (WinQSB) with net profit for company is 921166 $. Second case, the stable costs are considered for each factory in building the mathematical model for the same problem but by using binary variables for numerical programming model with solving by package program (WinQSB); then the net profit is increased by (33000 $), this means the total profit 954166 $. This presents the effective role for the stable costs on optimum solution and binary variables with logical conditions.