M/M/1 Queue with Impatient Customers of Higher Priority

  • Authors:
  • Bong Dae Choi;Bara Kim;Jinmin Chung

  • Affiliations:
  • Department of Mathematics, Korea University 1, Anam-dong, Sungbuk-ku, Seoul, 136-701, Korea bdchoi@semi.korea.ac.kr;Department of Mathematics, Korea University 1, Anam-dong, Sungbuk-ku, Seoul, 136-701, Korea bara@semi.korea.ac.kr;IMT-2000 System R&D Team, SAMSUNG ELECTRONICS, Pundang P.O. Box 32, Sungnam-Shi, Kyunggi-Do, Korea jinmin@mathx.kaist.ac.kr

  • Venue:
  • Queueing Systems: Theory and Applications
  • Year:
  • 2001

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Abstract

We introduce a simple approach for the analysis of the M/M/c queues with a single class of customers and constant impatience time by finding simple Markov processes (see (2.1) and (2.15) below), and then by applying this approach we analyze the M/M/1 queues with two classes of customers in which class 1 customers have impatience of constant duration, and class 2 customers have no impatience and lower priority than class 1 customers.