Corpus ID: 11090941

On the BMAP_1, BMAP_2/PH/g, c retrial queueing system

@article{Wu2015OnTB,
  title={On the BMAP_1, BMAP_2/PH/g, c retrial queueing system},
  author={J. Wu and Yi Peng and Zaiming Liu},
  journal={ArXiv},
  year={2015},
  volume={abs/1504.01191}
}
  • J. Wu, Yi Peng, Zaiming Liu
  • Published 2015
  • Mathematics, Computer Science
  • ArXiv
  • In this paper, we analyze a retrial queueing system with Batch Markovian Arrival Processes and two types of customers. The rate of individual repeated attempts from the orbit is modulated according to a Markov Modulated Poisson Process. Using the theory of multi-dimensional asymptotically quasi-Toeplitz Markov chain, we obtain the stability condition and the algorithm for calculating the stationary state distribution of the system. Main performance measures are presented. Furthermore, we… CONTINUE READING

    References

    SHOWING 1-10 OF 35 REFERENCES
    A Retrial BMAP/PH/N queueing system with Markov modulated retrials
    • A. Dudin, V. Klimenok
    • Mathematics, Computer Science
    • 2012 2nd Baltic Congress on Future Internet Communications
    • 2012
    • 6
    A Retrial BMAP/PH/N System
    • 94
    • Highly Influential
    Analysis of the M1,M2/G/1 G-queueing system with retrial customers
    • 6
    The BMAP/PH/N retrial queueing system operating in Markovian random environment
    • 36
    On the single server retrial queue with priority customers
    • 82
    A BMAP/PH/n System with Impatient Repeated Calls
    • 20
    The BMAP/PH/N retrial queue with Markovian flow of breakdowns
    • 30
    Ergodicity of the BMAP/PH/s/s+K retrial queue with PH-retrial times
    • Q. He, Hui Li, Y. Zhao
    • Mathematics, Computer Science
    • Queueing Syst. Theory Appl.
    • 2000
    • 48
    • PDF
    M/G/1 retrial queueing systems with two types of calls and finite capacity
    • 70
    The M/G/1 retrial queue with bernoulli schedule
    • 106