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  • Discrete-time queues  (1)
  • Quantum optics, physics of lasers, nonlinear optics, classical optics  (1)
  • 1
    Electronic Resource
    Electronic Resource
    On the steady-state queue size distribution of the discrete-timeGeo/G/1 queue with repeated customers (1995)
    Springer
    Queueing systems 21 (1995), S. 199-215 
    Details
    ISSN: 1572-9443
    Keywords: Discrete-time queues ; generating functions ; recursive computation ; retrial queues ; stochastic decomposition
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01158581
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    Paper (German National Licenses)
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  • 2
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    Dressed four-wave mixing second-order Talbot effect (2014)
    American Physical Society (APS)
    Details
    Publication Date: 2014-10-22
    Description: 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
    Keywords: Quantum optics, physics of lasers, nonlinear optics, classical optics
    Print ISSN: 1050-2947
    Electronic ISSN: 1094-1622
    Topics: Physics
    Published by American Physical Society (APS)
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