On the Optimal Production Rates of Basic Assembly System Under Random Demand

摘要

This paper is to propose a mathematical model which considers the assembly systems with only two-stages and two predecessors. Its objective is to obtain the optimal production functions, in the planning horizon [0,T], based on the assumptions: (1) that the cost of unit production is a linear function of production quantity in a unit time, (2) that sales of finished goods occur at the end of planning horizon, and (3) that product demand is a random variable. Finally, we find that the optimal production rates of semi-finished or finished goods will be the same in some circumstances.