Operations Dept. Seminar

In this research, the economic production quantity problem for a single-product single-machine system is extended.  It is assumed that annual demand of the product is a function of price set by manufacturers.  This extension considers sales revenue, inventory and setup costs as well as a variable cost of production which is a function of the lot size.  Several linear and non-linear functions of demand and variable cost are considered and a global solution methodology is present for the models developed.  Newton’s method is used to find local optima and asymptotic convergence of the solution algorithm to a global optimum is proved.  Numerical studies followed by a discussion provide additional insights into the problem.