• INVENTORY SYSTEMS WITH SALES TIME DEPENDING ON PRODUCION TIME AND SIZE

Abstract

A production and sales storage system is considered. During the operation time a machine produces random number of products. After operation time, sales time starts and it has one among two distinct distributions depending on the magnitude of production is within or exceeding a random threshold magnitude. Two models are treated. Sales time depends on the number and size of the products produced. In Model A the operation times have exponential distributions and the production times are general. Model B considers the case when the operation times have general distributions and the production times are exponential. Joint transforms of the variables, means, variances, covariance and numerical results are presented .