Managing uncertainty in a serial production line

成果类型:
Article
署名作者:
Denardo, EV; Lee, TYS
署名单位:
University of Illinois System; University of Illinois Chicago; University of Illinois Chicago Hospital
刊物名称:
OPERATIONS RESEARCH
ISSN/ISSBN:
0030-364X
DOI:
10.1287/opre.44.2.382
发表日期:
1996
页码:
382-392
关键词:
摘要:
This paper studies a serial production line that is uncertain. We introduce a linear model of the uncertainty that can exit in the demand for the product and in each stage's processing time, yield, rework probability, and reliability. We construct a Linear discrete-time rule for controlling production, and we show that repeated application of this rule leads the system to steady-state conditions, which include closed-form formulas for the mean and variance of each buffer's stock and the mean and variance of the workload in each stage. We optimize these operating characteristics by a convex nonlinear program. For the case of identical stages with no scrap, we show that this optimal solution tends to place larger buffer stocks toward the end of the line. We adapt these discrete-time results to the short-period surrogate of the analogous continuous-time control problem.