Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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RETRIAL QUEUEING SYSTEM WITH COLLISION AND IMPATIENCE

  • Kim, Jeong-Sim (DEPARTMENT OF MATHEMATICS EDUCATION CHUNGBUK NATIONAL UNIVERSITY)
  • Received : 2009.08.16
  • Published : 2010.10.31
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Abstract

We consider an M/M/1 retrial queue with collision and impatience. It is shown that the generating functions of the joint distributions of the server state and the number of customers in the orbit at steady state can be expressed in terms of the confluent hypergeometric functions. We find the performance characteristics of the system such as the blocking probability and the mean number of customers in the orbit.

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References

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  3. M/M/1 Retrial Queue with Collisions and Transmission Errors pp.1573-7713, 2018, https://doi.org/10.1007/s11009-018-9680-x
  4. Asymptotic analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs pp.1572-9338, 2018, https://doi.org/10.1007/s10479-018-2894-z