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