Zobrazeno 1 - 10
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pro vyhledávání: '"Burke's theorem"'
Autor:
Rhie, Sun Hong
We show that the outside equation of a bounded elliptically symmetric lens (ESL) exhibits a pseudo-caustic that arises from a branch cut. A pseudo-caustic is a curve in the source plane across which the number of images changes by one. The inside len
Externí odkaz:
http://arxiv.org/abs/1006.0782
Autor:
Daduna, Hans
Publikováno v:
Advances in Applied Probability, 1984 Dec 01. 16(4), 867-886.
Externí odkaz:
https://www.jstor.org/stable/1427344
Akademický článek
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Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AC,..., Iss Proceedings (2003)
Consider the single server queue with an infinite buffer and a FIFO discipline, either of type M/M/1 or Geom/Geom/1. Denote by $\mathcal{A}$ the arrival process and by $s$ the services. Assume the stability condition to be satisfied. Denote by $\math
Externí odkaz:
https://doaj.org/article/469f4436a78749c6a411bca8dfddad79
Akademický článek
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Autor:
Takis Konstantopoulos
Publikováno v:
Queueing Systems. 83:1-12
Burke's theorem is a well-known fundamental result in queueing theory, stating that a stationary M/M/1 queue has a departure process that is identical in law to the arrival process and, moreover, for each time t, the following three random objects ar
Autor:
O'Connell, Neil *, Yor, Marc
Publikováno v:
In Stochastic Processes and their Applications 2001 96(2):285-304
Autor:
Kilhwan Kim
Publikováno v:
Indian Journal of Science and Technology. 8
This paper presents a relation between queue-length distributions during vacations and those at vacation start and end times, in M/G/1 vacation queues with batch arrivals, batch services or multi-class arrivals. In order to obtain the relation, we de
Autor:
Marc Yor, Neil O'Connell
Publikováno v:
Stochastic Processes and their Applications. 96(2):285-304
We discuss Brownian analogues of a celebrated theorem, due to Burke, which states that the output of a (stable, stationary) M/M/1 queue is Poisson, and the related notion of quasireversibility. A direct analogue of Burke's theorem for the Brownian qu