대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제32권2호
  • /
  • Pages.425-433
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  • 2017
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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BUSY PERIOD DISTRIBUTION OF A BATCH ARRIVAL RETRIAL QUEUE

  • Kim, Jeongsim (Department of Mathematics Education Chungbuk National University)
  • 투고 : 2016.05.06
  • 발행 : 2017.04.30
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초록

This paper is concerned with the analysis of the busy period distribution in a batch arrival $M^X/G/1$ retrial queue. The expression for the Laplace-Stieltjes transform of the length of the busy period is well known, but from this expression we cannot compute the moments of the length of the busy period by direct differentiation. This paper provides a direct method of calculation for the first and second moments of the length of the busy period.

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참고문헌

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