چكيده لاتين :
This paper presents an integrated production and inventory model. Our
multi-echelon model includes the maximization of production while it minimizes the
cost of production, inventory holding and setup operations. The model consists of
two main parts , the primary and finishing operations. The primary operation
corresponds to purchasing of raw material and the finishing operation is for
preparation of finished product. Demand is influenced by price elasticity and the
cost of purchasing raw material is also affected by demand. The resulted model,
therefore, is highly nonlinear and non-convex. Geometric Programming (GP) is used
to locate the global solution of the proposed model. We analyze the solution in
different cases in order to study the behaviour of the model and for each case, a
numerical examples is used to demonstrate the implementation of our analysis .
