Scheduling in a stochastic network is an issue in many applications
such as the workflow on production shop floors, automated service
operations on internet platforms, traffic coordination in
guidepath-based transport systems, and resource allocation in
multi-core computer architectures. It is an area of the modern
scheduling theory with very limited results. To a large extent, the
lack of results is due to the intricacies that arise from the
blocking and deadlocking effects that take place in these networks
which prevent analysis using classical modeling frameworks. These
type of scheduling problems can be resolved by breaking them into a
supervisory control problem that seeks to prevent the deadlock
formation in the underlying resource allocation dynamics, and a
scheduling problem formulated on the admissible subspace to be
defined by the adopted supervisory control policy. Logical Control
of Complex Resource Allocation Systems provides a comprehensive
tutorial on solutions to the supervisory control problem. The
reader is shown results that are theoretically rigorous yet offer
rich practical applications. These resource allocation techniques
have major implications for many modern-day and future
applications. They also point the way forward for the necessary
further research to successfully solve the scheduling problems in
such systems. This is a comprehensive introduction for students,
researchers, and practitioners into a significant development at
the core of many control systems.
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