%0 Journal Article
%T A Multi Objective Geometric Programming Model for Optimal Production and Marketing Planning
%J Journal of Industrial Engineering, International
%I Islamic Azad University, South Tehran Branch
%Z 1735-5702
%A Sadjadi, S.J
%D 2007
%\ 05/01/2007
%V 4
%N 7
%P -
%! A Multi Objective Geometric Programming Model for Optimal Production and Marketing Planning
%K Geometric programming
%K Production and operation management
%K economics
%R
%X 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.
%U