A Multi Objective Geometric Programming Model for Optimal Production and Marketing Planning

Journal of Industrial Engineering International

مقاله 4، دوره 4، شماره 7، مهر 2007

نویسنده

S.J Sadjadi

OTHER

چکیده

This paper presents a multi objective geometric programming model which determines the product`s selling price in two markets. We assume demand is a function of price and marketing expenditure in two markets. The cost of production is also assumed to be a function of demands in both markets. Our model is a posynomial function which is solved using Geometric Programming (GP). In our GP implementation, we use a transformed dual problem to change the model into an optimization of an unconstraint problem with a single variable solved using a simple line search. In order to study the behavior of the model we analyze the solution in different cases and a numerical example is used to demonstrate the implementation for each case.

کلیدواژه‌ها

Geometric programming؛ Production and operation management؛ economics