EXTENSION OF STOCHASTIC ANALYSIS MODEL TO THREE PRODUCTS INVENTORY SYSTEM WITH SCBZ SEASONAL PRODUCTION AND SALES

A study on production and sales system is performed. Three products production inventory system where the production has the impact of seasonal demand and sales. We consider the following model in which the production and sales of k triplets of three different products are studied subject to seasonal requirements. The production of the three different products is done alternately. The production times of the products have general distribution and the season is exponential with SCBZ property. The demand season has with SCBZ property. It occurs with rate and changes to be an exponential time with parameter . We present Laplace Transform of production and sales time and their means are obtained. Numerical examples are presented with MATLAB ODE Tool. The model can be applied to civil engineering problem of construction involving inventories. AMS Subject Classification: Primary 30C45, Secondary 30C80