• GENERAL PRODUCTION AND SALES BY MARKOVIAN MANPOWER AND MACHINE SYSTEM

Abstract

A production and sale system is considered. During the operation time a machine produces random number of products. After operation time, sale time starts, and it has one among two distinct distributions depending on the magnitude of production time is within or exceeding a random threshold magnitude. Two models are treated.  In model 1, the machine operation time has exponential distribution; repair, recruitment the production and sale times have general distribution. In model 2, when the operation time is more than a threshold, the sales are done altogether and when it is less than the threshold, the sales are done one by one.  Joint transforms of the variables, their means and Co-variances with numerical results are presented.