منابع مشابه
A Lévy input fluid queue with input and workload regulation
We consider a queuing model with the workload evolving between consecutive i.i.d. exponential timers {e q }i=1,2,... according to a spectrally positive Lévy process Yi(t) that is reflected at zero, and where the environment i equals 0 or 1. When the exponential clock e (i) q ends, the workload, as well as the Lévy input process, are modified; this modification may depend on the current value of...
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In this paper we present a new representation for the steady state distribution of the workload of the second queue in a two-node tandem network. It involves the difference of two suprema over two adjacent intervals. In case of spectrally-positive Lévy input, this enables us to derive the Laplace transform and Pollaczek-Khintchine representation of the workload of the second queue. Additionally...
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In this paper we study the stationary workload distribution of a fluid tandem queue in heavy traffic. We consider different types of Lévy input, covering compound Poisson, α-stable Lévy motion (with 1 < α < 2), and Brownian motion. In our analysis, we separately deal with Lévy input processes with increments that have finite and infinite variance. A distinguishing feature of this paper is that ...
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We consider a tandem queue with two stations. The first station is an s-server queue with Poisson arrivals and exponential service times. After terminating his service in the first station, a customer enters the second station to require service at an exponential single server, while in the meantime he is blocking his server in station 1 until he completes service in station 2, whereupon the se...
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ژورنال
عنوان ژورنال: Probability in the Engineering and Informational Sciences
سال: 2002
ISSN: 0269-9648,1469-8951
DOI: 10.1017/s0269964802161031