Analysis of an infinite multi-server queue with an optional service

  • Authors:
  • Jau-Chuan Ke;Chia-Huang Wu;Wen Lea Pearn

  • Affiliations:
  • Department of Applied Statistics, National Taichung University of Science and Technology, Taichung, Taiwan, ROC;Department of Industrial Engineering and Management, National Chiao Tung University, Taiwan, ROC;Department of Industrial Engineering and Management, National Chiao Tung University, Taiwan, ROC

  • Venue:
  • Computers and Industrial Engineering
  • Year:
  • 2013

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Abstract

This paper deals with an infinite-capacity multi-server queueing system with a second optional service (SOS) channel. The inter-arrival times of arriving customers, the service times of the first essential service (FES) and the SOS channel are all exponentially distributed. A customer may leave the system after the FES channel with a probability (1-@q), or the completion of the FES may immediately require a SOS with a probability @q (0=