Optimal Control of a Production Process Subject to Random Deterioration

A production process exhibits a decreasing pattern in the process mean in the course of production. We address the decision problem of selecting the starting level of the process mean and the level at which the process mean should be adjusted back to the starting level. The costs to be minimized are...

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Bibliographic Details
Published in:Operations research 1990-11, Vol.38 (6), p.1116-1122
Main Authors: Schneider, Helmut, Tang, Kwei, O'Cinneide, Colm
Format: Article
Language:English
Subjects:
Applied sciences
Approximation
Capital costs
Cost efficiency
Economic models
Exact sciences and technology
failure models: inspection of production process
Mathematical models
multichannel: optimization of process adjustment model
Operational research and scientific management
Operational research. Management science
Operations research
Optimal control
Optimal policy
Optimal solutions
Optimization
Process control
Process controls
Production costs
Production engineering
Production planning
quality control: process control
queues
Queuing
Random variables
reliability
Reliability theory. Replacement problems
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Summary:A production process exhibits a decreasing pattern in the process mean in the course of production. We address the decision problem of selecting the starting level of the process mean and the level at which the process mean should be adjusted back to the starting level. The costs to be minimized are the long-run average cost of production, adjustment and loss for defective items. In addition to the optimal solution, simple approximate solutions are developed and shown to be more cost effective than a simple linear policy often applied to this problem.
ISSN:0030-364X
1526-5463
DOI:10.1287/opre.38.6.1116