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The Geo/Geo/1+1 Queueing System with Negative Customers

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  • Zhanyou Ma
  • Yalin Guo
  • Pengcheng Wang
  • Yumei Hou

Abstract

We study a Geo/Geo/1+1 queueing system with geometrical arrivals of both positive and negative customers in which killing strategies considered are removal of customers at the head (RCH) and removal of customers at the end (RCE). Using quasi-birth-death (QBD) process and matrix-geometric solution method, we obtain the stationary distribution of the queue length, the average waiting time of a new arrival customer, and the probabilities of servers in busy or idle period, respectively. Finally, we analyze the effect of some related parameters on the system performance measures.

Suggested Citation

  • Zhanyou Ma & Yalin Guo & Pengcheng Wang & Yumei Hou, 2013. "The Geo/Geo/1+1 Queueing System with Negative Customers," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, November.
    • Handle: RePEc:hin:jnlmpe:182497
    DOI: 10.1155/2013/182497
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