Characterizing the Output Process of a CONWIP Line with Deterministic Processing and Random Outages
将CONWIP生产线建模为封闭排队网络,推导出指定区间内产出均值和方差的近似公式,并给出该近似有效的可计算条件。通过实证检验证明近似稳健,并展示其在选择经济生产配额和卡片数量中的应用。
We model a CONWIP (CONstant Work-in-Process) production line with deterministic processing times and exponential failure and repair times as a closed queueing network. We derive an approximation for the mean and variance of the output during a specified interval and give computable conditions under which this approximation performs well. We show through empirical tests that the approximation is robust and illustrate its usefulness as the basis for a procedure for selecting an economic production quota and a card count for a CONWIP line.