Jackson and Whittle Networks

  • Richard Serfozo
Part of the Applications of Mathematics book series (SMAP, volume 44)


This chapter describes the equilibrium behavior of Jackson and Whittle networks. In such a network, the numbers of discrete units or customers at the nodes are modeled by multidimensional Markov processes. The main results characterize the equilibrium distributions of the processes. These distributions yield several performance parameters of the networks including throughput rates, expected customer waiting times, and expected busy periods for servers.


Markov Process Invariant Measure Transition Rate Service Rate Sojourn Time 
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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Richard Serfozo
    • 1
  1. 1.School of Industrial and Systems EngineeringGeorgia Institute of TechnologyAtlantaUSA

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