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On the steady-state queue size distribution of the discrete-timeGeo/G/1 queue with repeated customers (1995)

Yang, Tao ; Li, Hui

Springer

Queueing systems 21 (1995), S. 199-215

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ISSN: 1572-9443

Schlagwort(e): Discrete-time queues ; generating functions ; recursive computation ; retrial queues ; stochastic decomposition

Quelle: Springer Online Journal Archives 1860-2000

Thema: Informatik

Notizen: Abstract In this paper, we study the steady-state queue size distribution of the discrete-timeGeo/G/1 retrial queue. We derive analytic formulas for the probability generating function of the number of customers in the system in steady-state. It is shown that the stochastic decomposition law holds for theGeo/G/1 retrial queue. Recursive formulas for the steady-state probabilities are developed. Computations based on these recursive formulas are numerically stable because the recursions involve only nonnegative terms. Since the regularGeo/G/1 queue is a special case of theGeo/G/1 retrial queue, the recursive formulas can also be used to compute the steady-state queue size distribution of the regularGeo/G/1 queue. Furthermore, it is shown that a continuous-timeM/G/1 retrial queue can be approximated by a discrete-timeGeo/G/1 retrial queue by dividing the time into small intervals of equal length and the approximation approaches the exact when the length of the interval tends to zero. This relationship allows us to apply the recursive formulas derived in this paper to compute the approximate steady-state queue size distribution of the continuous-timeM/G/1 retrial queue and the regularM/G/1 queue.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01158581

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Dressed four-wave mixing second-order Talbot effect (2014)

Haixia Chen, Xun Zhang, Dayu Zhu, Chang Yang, Tao Jiang, Huaibin Zheng, and Yanpeng Zhang

American Physical Society (APS)

In: Physical Review A

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Publikationsdatum: 2014-10-22

Beschreibung: Author(s): Haixia Chen, Xun Zhang, Dayu Zhu, Chang Yang, Tao Jiang, Huaibin Zheng, and Yanpeng Zhang We theoretically demonstrate second-order Talbot effect (SOTE) based on entangled photon pairs. The photon pairs are generated from the spontaneous parametric four-wave mixing (SPFWM) process in a cold atomic medium and can be taken as the imaging light in order to realize coincidence recording. A s... [Phys. Rev. A 90, 043846] Published Tue Oct 21, 2014

Schlagwort(e): Quantum optics, physics of lasers, nonlinear optics, classical optics

Print ISSN: 1050-2947

Digitale ISSN: 1094-1622

Thema: Physik

Publiziert von American Physical Society (APS)

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