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THE M/G/1 FEEDBACK RETRIAL QUEUE WITH TWO TYPES OF CUSTOMERS

  • Lee, Yong-Wan (DEPARTMENT OF MATHEMATICS EDUCATION, ANDING NATIONAL UNIVERSITY)
  • Published : 2005.11.01

Abstract

In M/G/1 retrial queueing system with two types of customers and feedback, we derived the joint generating function of the number of customers in two groups by using the supplementary variable method. It is shown that our results are consistent with those already known in the literature when ${\delta}_k\;=\;0(k\;=\;1,\;2),\;{\lambda}_1\;=\;0\;or\;{\lambda}_2\;=\;0$.

Keywords

References

  1. B. D. Choi, K. B. Choi, and Y. W. Lee, M/G/1 retrial queueing system with two types of calls and finite capacity, Queueing Systems 19 (1995), 215-229 https://doi.org/10.1007/BF01148947
  2. B. D. Choi and V. G. Kulkarni, Feedback retrial queueing system, Stochastic Model Related field (1992), 93-105
  3. B. D. Choi and K. K. Park, The M/G/1 retrial queue with Bernoulli schedule, Queueing Systems 7 (1990), 219-227 https://doi.org/10.1007/BF01158476
  4. B. D. Choi, K. K. Park, and Y. W. Lee, Retrial queues with Bernoulli feedback, Proc. Workshops Math. Phys. 2 (1990), 65-78
  5. G. I. Falin, A single-line system with secondary orders, Engineering Cybernet. 17 (1979), no. 2, 76-83
  6. G. I. Falin, A survey of retrial queues, Queueing systems 7 (1990), 127-168 https://doi.org/10.1007/BF01158472
  7. G. I. Falin, J. R. Artalejo, and M. Martin, On the single server retrial queue with priority customers, Queueing systems 14 (1993), 439-455 https://doi.org/10.1007/BF01158878
  8. D. Gross and C. M. Harris, Foundamentals of Queueing Theory, John Wiley and Sons, 1985
  9. T. Yang and J. G. C. Templeton, A survey on retrial queues, Queueing systems 2 (1987), 201-233 https://doi.org/10.1007/BF01158899

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