A Two-Station Multiclass Network

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

Abstract

Most of this chapter focuses on a two-station queueing network. We spell out details of the model in the next section, followed by Section 8.2-Section 8.5, where we study, respectively, a corresponding fluid network, the stability of the queueing network via the fluid network, the fluid limit, and the diffusion limit. Finally, in Section 8.6 we present additional network examples that appear to be counterintuitive to what we know from single-class networks. This last section is technically independent of the earlier sections; however, it provides further motivation as to why stability is an important and interesting issue in multiclass networks.

Keywords

Service Time Queue Length Service Discipline Weak Stability Fluid Network 
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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