The optimality of balancing workloads in certain types of flexible manufacturing systems |
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Authors: | Kathryn E. Stecke Thomas L. Morin |
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Affiliation: | Graduate School of Business Administration, University of Michigan, Ann Arbor, Michigan, U.S.A.;School of Engineering, Aristotlean University of Thessaloniki, Thessaloniki, Greece |
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Abstract: | 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. |
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Keywords: | Flexible manufacturing systems workload balancing symmetric mathematical programming production planning FMS loading |
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