The service facility startup and capacity model and its application to the National Cranberry case
成果类型：
Article
署名作者：
Li, L; Wang, X
署名单位：
Yale University
刊物名称：
OPERATIONS RESEARCH
ISSN/ISSBN：
0030-364X
DOI：
10.1287/opre.44.1.160
发表日期：
1996
页码：
160-172
关键词：
摘要：
This paper provides formal modeling for and analytical aid to the startup and capacity problem facing Receiving Plant #1 of National Cranberry Cooperative. The analysis is based on a finite-horizon, single-facility queueing system with general variability. Using marginal analysis, we derive simple formulas that the optimal starting time and processing capacity should satisfy. These formulas lead to the comparative statics results showing that the starting time should be optimally delayed or the processing capacity optimally decreased when the operating cost increases, when the waiting cost decreases, when the cumulative arrival process decreases, or when the capacity of storage increases. We then demonstrate that three important performance measures, the expected waiting, tardiness, and operating costs, are jointly convex with respect to two control variables, starting time and processing capacity, in a generalized version of the model. Therefore, in the applications that involve minimizing these measures, the simple formulas derived from first-order conditions are necessary and sufficient for optimality. The applications of the model in service and manufacturing operations are numerous.