The optimality of balancing workloads in certain types of flexible manufacturing systems

Symmetric mathematical programming is used to analyze the optimality of balancing workloads to maximize the expected production in a single-server closed queuing network model of a flexible manufacturing system (FMS). In particular, using generalized concavity we prove that, even though the producti...

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Bibliographic Details
Published in:European journal of operational research 1985-04, Vol.20 (1), p.68-82
Main Authors: Stecke, Kathryn E., Morin, Thomas L.
Format: Article
Language:English
Subjects:
Automation
Flexible manufacturing systems
FMS loading
Manufacturing
Mathematical analysis
Mathematical programming
Operations research
Production planning
symmetric mathematical programming
workload balancing
Workloads
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Summary:Symmetric mathematical programming is used to analyze the optimality of balancing workloads to maximize the expected production in a single-server closed queuing network model of a flexible manufacturing system (FMS). In particular, using generalized concavity we prove that, even though the production function is not concave, balancing workloads maximizes the expected production in certain types of m-machine FMS's with n parts in the system. Our results are compared and contrasted with previous models of production systems.
ISSN:0377-2217
1872-6860
DOI:10.1016/0377-2217(85)90285-1