대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제10권2호
  • /
  • Pages.443-460
  • /
  • 1995
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

G/M/1 QUEUES WITH ERLANGIAN VACATIONS

  • Park, Bong-Dae (Department of Mathematics, Korea Advanced Institute of Science and Technology) ;
  • Han, Dong-Hwan (Department of Mathematics, Sun Moon University)
  • 발행 : 1995.04.01
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초록

We consider a G/M/1 vacation model where the vacation time has k-stages generalized Erlang distribution. By using the methods of the shift operator and supplementary variable, we explicitly obtain the limiting probabilities of the queue length at arrival time points and arbitrary time points simultaneously. Operational calculus technique is used for solving non-homogeneous difference equations.

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