A factorization property for BMAP/G/1 vacation queues under variable service speed

نویسندگان

  • Jung Woo Baek
  • Ho Woo Lee
  • Se Won Lee
  • Soohan Ahn
چکیده

This paper proposes a simple factorization principle that can be used efficiently and effectively to derive the vector generating function of the queue length at an arbitrary time of the BMAP/G/1/ queueing systems under variable service speed. We first prove the factorization property. Then we provide moments formula. Lastly we present some applications of the factorization principle.

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عنوان ژورنال:
  • Annals OR

دوره 160  شماره 

صفحات  -

تاریخ انتشار 2008