A continuous time average cost flexible manufacturing and operator scheduling model solved by deconvexification over time
Abstract: "A continuous time flexible manufacturing and operator scheduling problem is introduced and solved. The principle concern is with scheduling operators over time to various activities of a manufacturing system with the purpose of optimizing some steady state criterion. In mathematical terms the problem is modeled as a deterministic, infinite horizon, continuous time discrete dynamic program. Our solution procedure is to convexify the problem to obtain a linear program and, then, to deconvexify the solution of the linear program over time to arrive at an optimal solution which is periodic and piecewise-constant. Apparant loss in object value due to the deconvexifications is circumvented with buffer inventories. The procedure can be reduced to solving a sequence of linear programs and the complexity can be stated in these terms."
"Abstract: "A continuous time flexible manufacturing and operator scheduling problem is introduced and solved. The principle concern is with scheduling operators over time to various activities of a manufacturing system with the purpose of optimizing some steady state criterion. In mathematical terms the problem is modeled as a deterministic, infinite horizon, continuous time discrete dynamic program. Our solution procedure is to convexify the problem to obtain a linear program and, then, to deconvexify the solution of the linear program over time to arrive at an optimal solution which is periodic and piecewise-constant. Apparant loss in object value due to the deconvexifications is circumvented with buffer inventories. The procedure can be reduced to solving a sequence of linear programs and the complexity can be stated in these terms.""@en
Stanford University. Department of Operations Research. Systems Optimization Laboratory.
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