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- Title
Queues with system disasters and impatient customers when system is down.
- Authors
Uri Yechiali
- Abstract
  Consider a system operating as an M/M/c queue, where c=1, 1cc=∞. The system as a whole suffers occasionally a disastrous breakdown, upon which all present customers (waiting and served) are cleared from the system and lost. A repair process then starts immediately. When the system is down, inoperative, and undergoing a repair process, new arrivals become impatient: each individual customer, upon arrival, activates a random-duration timer. If the timer expires before the system is repaired, the customer abandons the queue never to return. We analyze this model and derive various quality of service measures: mean sojourn time of a served customer; proportion of customers served; rate of lost customers due to disasters; and rate of abandonments due to impatience.
- Subjects
QUEUING theory; FAILURE analysis; BREAKDOWNS (Machinery); LOCAL times (Stochastic processes); CONSUMER behavior; STOCHASTIC processes; SYSTEM downtime; COMPUTER networks; QUALITY of service; CUSTOMER services; PROBLEM solving; PATIENCE
- Publication
Queueing Systems, 2007, Vol 56, Issue 3/4, p195
- ISSN
0257-0130
- Publication type
Article
- DOI
10.1007/s11134-007-9031-z