A Waiting Line with Interrupted Service, Including Priorities

Donald P. Gaver

445 citations0/0 files storedJournal of the Royal Statistical Society Series B (Statistical Methodology)

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Advanced Queuing Theory Analysis Probability and Statistical Research Probability and Risk Models

Abstract

SUMMARY A single-server system with stationary compound Poisson input and general independent service times, the latter being subject to random interruptions of independently but otherwise arbitrarily distributed durations, is studied. For a variety of service-interruption interactions (including the preemptive-repeat) the distributions of busy period duration, of queue length, and of waiting time are characterized by transforms and by moments. Applications are made to priority scheduling problems.

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1963Some Queuing Problems with the Service Station Subject to Breakdown 1968A Many-Server Queue with Service Interruptions 1971Queuing Problems with Heterogeneous Arrivals and Service 1999Queueing theory in manufacturing: A survey 1990Retrial queues with server subject to breakdowns and repairs 1997Asymptotics for M/G/1 low-priority waiting-time tail probabilities 2012Queues with interruptions: a survey 2007Queues with system disasters and impatient customers when system is down

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