Bayesian process control for attributes
Article Abstract:
A process control procedure with fixed sample sizes and sampling intervals is considered. This procedure is designed such that a standard attributes control chart methodology, the quality variable of interest, is the fraction defective. Relatively standard cost assumptions are demonstrated to result in the modelling of the process control problem as a partially observed Markov decision process. In this process, the posterior probability of a process shift is an acceptable statistic for decision making. Characteristics of the optimal solution are formulated and the optimal policy is shown to possess a simple control limit structure. The most important contribution of this analysis to the process control literature is the introduction of a Bayesian model for process control under standard cost and operating assumptions.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1995
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Optimal workload allocation in open networks of multiserver queues
Article Abstract:
Workload allocation in an open Jackson multiserver queue network is examined. Simple optimal solutions are derived for an open network model that implies a separable, convex formulation. The conditions derived from nonlinear optimization support the contention that equal loading of server groups with a similar number of servers and the relatively heavy loading of larger groups compared to smaller ones is the best solution. Congestion may also be alleviated and throughput increased through server pooling. The results not only help in identifying production bottlenecks in significant queueing situations, they also have important applications in job shops and flexible manufacturing systems. Application in a simple workload allocation example is presented.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1992
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Simultaneous determination of lot sizes and routing mix in job shops
Article Abstract:
A model is developed to examine the interaction between lot-sizing decisions and routing mix in a multi-machine, multi-work job center. A heuristic for simultaneous determination decisions is presented and illustrated for problems of practical size. Numerical examples demonstrate the potential for performance improvement that may be derived by simultaneous lot sizing and routing consideration.
Publication Name: Management Science
Subject: Business, general
ISSN: 0025-1909
Year: 1991
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