Models for Design and Control of Stochastic, Multi-Item Batch Production Systems

We propose an approach to modeling a production facility that makes many products in large, discrete batches, when demands and the production process are stochastic. This approach combines standard inventory and queueing submodels into classical optimization problems. The models developed in this pa...

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Bibliographic Details
Published in:Operations research 1986-01, Vol.34 (1), p.91-104
Main Author: Zipkin, Paul H
Format: Article
Language:English
Subjects:
362 stochastic batch production systems
Applied sciences
Approximation
Batch processing
Convexity
Economic models
Exact sciences and technology
Induced substructures
Inventories
Inventory
Inventory control, production control. Distribution
Mathematical analysis
Operational research and scientific management
Operational research. Management science
Operations research
Parametric models
Production engineering
Production planning
Production technology
Queuing theory
Stochastic models
Working papers
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Summary:We propose an approach to modeling a production facility that makes many products in large, discrete batches, when demands and the production process are stochastic. This approach combines standard inventory and queueing submodels into classical optimization problems. The models developed in this paper to illustrate the approach represent the production facility by a single-server queueing system or by a network of queues; other systems can also be handled within the approach. The models optimize the approximate operating cost of a given facility over certain simple, plausible control policies; furthermore, the models are tractable enough to be used routinely for design studies.
ISSN:0030-364X
1526-5463
DOI:10.1287/opre.34.1.91