An unreliable single server queueing system accepting two types of customers, with imperfect coverage and working vacation interruption is investigated in this work. We assume that class-1 customer is governed by the preemptive priority principle. A distinguishing feature of the system is that the failed server may not be detecting and locating. For this system, the stability condition and the stationary distribution are derived. Finally, the effect of parameters in system performance measures and cost optimization are examined numerically.
Track: Operations Research
Published in: 6th European International Conference on Industrial Engineering and Operations Management, Lisbon, Portugal
Publisher: IEOM Society International
Date of Conference: July 18
-20
, 2023
ISBN: 979-8-3507-0547-8
ISSN/E-ISSN: 2169-8767