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- Title
The service facility startup and capacity model and its...
- Authors
Lode Li; Xin Wang
- Abstract
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.
- Subjects
PRODUCTION planning; QUEUING theory; OPERATING costs; INDUSTRIAL capacity; NATIONAL Cranberry Cooperative (Organization); MANUFACTURED products; MATHEMATICAL models; OPERATIONS research; PLANNING
- Publication
Operations Research, 1996, Vol 44, Issue 1, p160
- ISSN
0030-364X
- Publication type
Article
- DOI
10.1287/opre.44.1.160