대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제42권4호
  • /
  • Pages.875-887
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  • 2005
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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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)
  • 발행 : 2005.11.01
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⟨ 이전 논문 다음 논문 ⟩

초록

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 ${\delta}_k\;=\;0(k\;=\;1,\;2),\;{\lambda}_1\;=\;0\;or\;{\lambda}_2\;=\;0$.

키워드

참고문헌

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피인용 문헌

  1. The multi-server retrial system with Bernoulli feedback and starting failures vol.92, pp.5, 2015, https://doi.org/10.1080/00207160.2014.932908
  2. An inventory system with service facility and finite orbit size for feedback customers vol.52, pp.2, 2015, https://doi.org/10.1007/s12597-014-0182-5
  3. Analysis of the  -queueing system with retrial customers vol.14, pp.1, 2013, https://doi.org/10.1016/j.nonrwa.2012.06.009
  4. A Feedback Retrial Queueing System with Two Types of Batch Arrivals vol.2012, 2012, https://doi.org/10.1155/2012/673642
  5. An M/G/1 Bernoulli feedback retrial queueing system with negative customers vol.13, pp.2, 2013, https://doi.org/10.1007/s12351-011-0107-5
  6. Waiting time distributions in an M/G/1 retrial queue with two classes of customers vol.252, pp.1, 2017, https://doi.org/10.1007/s10479-015-1979-1