The last departure time from an M t /G/∞ queue with a terminating arrival process
نویسندگان
چکیده
منابع مشابه
The last departure time from an Mt/G/∞ queue with a terminating arrival process
This paper studies the last departure time from a queue with a terminating arrival process. This problem is motivated by a model of two-stage inspection in which finitely many items come to a first stage for screening. Items failing first-stage inspection go to a second stage to be examined further. Assuming that arrivals at the second stage can be regarded as an independent thinning of the dep...
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We study the mean and the distribution of the time elapsing between two consecutive departures from the stationary M/G/s queue given the number of customers left behind by the first departure is equal to n. It is conjectured that if the failure rate of the service time distribution is increasing (decreasing), then (i) the limit of the mean conditional inter-departure time as n tends to infinity...
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In this paper we study an M/G/1 queue with impatience and an adaptive arrival process. The rate of the arrival process changes according to whether an incoming customer is impatient or not. We obtain the Laplace-Stieltjes Transform of the joint stationary workload and arrival rate process. This queueing model also captures the interaction between congestion control algorithms and queue manageme...
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A single-server queueing system of MX/G/1 type with unlimited buffer size is considered. Whenever the system becomes empty, the server takes a single compulsory vacation that is independent of the arrival process. The service of the first customer after the vacation is preceded by a random setup time. We distinguish two cases of the evolution of the system: when the setup time begins after the ...
متن کاملOn departure process in the batch arrival queue with single vacation and setup time
A single-server queueing system of MX/G/1 type with unlimited buffer size is considered. Whenever the system becomes empty, the server takes a single compulsory vacation that is independent of the arrival process. The service of the first customer after the vacation is preceded by a random setup time. We distinguish two cases of the evolution of the system: when the setup time begins after the ...
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ژورنال
عنوان ژورنال: Queueing Systems
سال: 2008
ISSN: 0257-0130,1572-9443
DOI: 10.1007/s11134-008-9060-2