Necessary conditions for global stability of multiclass queueing networks

  • Authors:
  • John J. Hasenbein

  • Affiliations:
  • School of Industrial & Systems Engineering, Georgia Institute of Technology, Atlanta, GA 30332, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1997

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Abstract

In this paper, we obtain necessary conditions for the global stability of a d-station multiclass queueing network. The conditions are given explicitly in terms of the average service and arrival rates of the network. Although these conditions are in general not sufficient for d 2, they may still highlight hidden bottlenecks in complex manufacturing systems such as wafer fabrication processes.