An optimal scheduling problem for a two-part type symmetric manufacturing system subject to nonnegligible setup times and characterized by finite buffer capacity is addressed. The solution method relies on i) restricting the possible control policies to those that respect some general necessary conditions of optimality, ii) exploiting such properties to introduce a two-dimensional sampled version of the original system, and iii) mapping such a planar model onto an equivalent scalar one. This modeling approach makes it possible to derive the analytical solution, which exhibits a simple feedback structure.
A Switched System Model for the Optimal Control of Two Symmetric Competing Queues with Finite Capacity
BOCCADORO, MAURO;VALIGI, Paolo
2006
Abstract
An optimal scheduling problem for a two-part type symmetric manufacturing system subject to nonnegligible setup times and characterized by finite buffer capacity is addressed. The solution method relies on i) restricting the possible control policies to those that respect some general necessary conditions of optimality, ii) exploiting such properties to introduce a two-dimensional sampled version of the original system, and iii) mapping such a planar model onto an equivalent scalar one. This modeling approach makes it possible to derive the analytical solution, which exhibits a simple feedback structure.File in questo prodotto:
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