Power grids, flexible manufacturing, cellular communications:
interconnectedness has consequences. This remarkable book gives the
tools and philosophy you need to build network models detailed
enough to capture essential dynamics but simple enough to expose
the structure of effective control solutions and to clarify
analysis. Core chapters assume only exposure to stochastic
processes and linear algebra at the undergraduate level; later
chapters are for advanced graduate students and
researchers/practitioners. This gradual development bridges
classical theory with the state-of-the-art. The workload model that
is the basis of traditional analysis of the single queue becomes a
foundation for workload relaxations used in the treatment of
complex networks. Lyapunov functions and dynamic programming
equations lead to the celebrated MaxWeight policy along with many
generalizations. Other topics include methods for synthesizing
hedging and safety stocks, stability theory for networks, and
techniques for accelerated simulation. Examples and figures
throughout make ideas concrete. Solutions to end-of-chapter
exercises available on a companion website.
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