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The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time

Author

Listed:
  • Li Junping

    (Central South University)

  • Chen Anyue

    (The University of Liverpool
    Xi’an Jiaotong-Liverpool University)

Abstract

We consider properties regarding decay parameter and invariant measures for unstable Markovian bulk-arrival Queues with control at idle time. The exact value of the decay parameter, denoted by λ Z , is firstly revealed. An elegant criterion regarding λ Z -recurrence and λ Z -positive is obtained. The corresponding subinvariant and invariant measures are considered and the structure of all the subinvariant and invariant measures are presented.

Suggested Citation

  • Li Junping & Chen Anyue, 2013. "The Decay Parameter and Invariant Measures for Markovian Bulk-Arrival Queues with Control at Idle Time," Methodology and Computing in Applied Probability, Springer, vol. 15(2), pages 467-484, June.
    • Handle: RePEc:spr:metcap:v:15:y:2013:i:2:d:10.1007_s11009-011-9252-9
    DOI: 10.1007/s11009-011-9252-9
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    References listed on IDEAS

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    1. Anyue Chen & Junping Li & N. I. Ramesh, 2005. "Uniqueness and Extinction of Weighted Markov Branching Processes," Methodology and Computing in Applied Probability, Springer, vol. 7(4), pages 489-516, December.
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