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Generalized Jackson Networks

  • Hong Chen
  • David D. Yao
Part of the Stochastic Modelling and Applied Probability book series (SMAP, volume 46)

Abstract

In this chapter we consider a queueing network that generalizes the Jackson network studied in Chapter 2, by allowing renewal arrival processes that need not be Poisson and i.i.d. service times that need not follow exponential distributions. (However, we do not allow the service times of the network to be state-dependent; in this regard, the network is more restrictive than the Jackson network. Nevertheless, this network has been conventionally referred to as the generalized Jackson network.) Unlike the Jackson network, the stationary distribution of a generalized Jackson network usually does not have an explicit analytical form. Therefore, approximations and limit theorems that support such approximations are usually sought for the generalized Jackson networks.

Keywords

Reflection Mapping Closed Network Jackson Network Nonnegative Orthant Workload Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Hong Chen
    • 1
  • David D. Yao
    • 2
  1. 1.Faculty of Commerce and Business AdministrationUniversity of British ColumbiaVancouverCanada
  2. 2.Department of Operations Research and Industrial EngineeringColumbia UniversityNew YorkUSA

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