Sinopsis
This book examines the subject of capacity allocation within generalized Jackson networks, particularly concerning how service rates can be optimized to minimize customer delays while adhering to budget constraints. The author employs a Brownian approximation based on heavy traffic theory to derive a square root allocation formula that extends the classical square root capacity assignment for Jackson networks. The formula demonstrates that optimal capacity allocation compensates for highly variable stations by allocating more capacity to them. An example is provided to illustrate the effectiveness of the allocation method. Overall, the book provides practical insights for designing and managing queueing systems in various applications, such as computer, communication, and manufacturing systems.
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Reseña del editor
Excerpt from Capacity Allocation in Generalized Jackson Networks
In the case where the unit cost of capacity is the same at each station, this assignment first allocates just enough capacity to each station to satisfy its effective arrival rate, and then allocates the excess capacity among the stations in proportion to the square roots of their effective arrival rates.
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