Hard deadline queueing system with application to unified messaging service

  • Authors:
  • Wuqin Lin;Zhen Liu;Harry Stavropoulos;Cathy H. Xia

  • Affiliations:
  • IBM T.J. Watson Research Center, Yorktown Heights, NY;IBM T.J. Watson Research Center, Yorktown Heights, NY;IBM T.J. Watson Research Center, Yorktown Heights, NY;IBM T.J. Watson Research Center, Yorktown Heights, NY

  • Venue:
  • ACM SIGMETRICS Performance Evaluation Review - Special issue on the fifth workshop on MAthematical performance Modeling and Analysis (MAMA 2003)
  • Year:
  • 2003

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Abstract

We consider a queueing system with jobs having hard deadlines. This is motivated by recent emerging unified messaging service applications. The service time of a job is assumed to be known upon arrival. A job will be lost if not being served by its deadline. For the single-server system, we propose an on-line ED-Push algorithm that is easy to implement and can achieve near-optimal performance in terms of minimizing the loss probability. Performance analyses for the underlying M/M/l+D and G/D/1+D systems are then provided. We also give approximation on the loss probability for the system with multiple servers under least workload routing scheme. The numerical results show that ED-Push algorithm performs well.