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Queueing systems with N-limited nonstop forwarding

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We consider a queueing system with N-limited nonstop forwarding. In this queueing system, when the server breaks down, up to N customers can be serviced during the repair time. It can be used to model an assembly line consisting of several automatic stations and a manual backup station. Within the framework of GeoX/D/1 queue, the matrix analytic approach is used to obtain the performance of the system. Some numerical examples are provided.

Abstract

We consider a queueing system with N-limited nonstop forwarding. In this queueing system, when the server breaks down, up to N customers can be serviced during the repair time. It can be used to model an assembly line consisting of several automatic stations and a manual backup station. Within the framework of GeoX/D/1 queue, the matrix analytic approach is used to obtain the performance of the system. Some numerical examples are provided.

참고문헌 (18)

  1. W. L. Wang, "The well-posedness of an M", G, Computers & Mathematics with Applications, pp.2009, 57(5)[DOI]
  2. D. Perry, "A correlated M", G, Operations Research Letters, pp.2000, 26(3)[DOI]
  3. N. P. Sherman, "An M", M, Operations Research Letters, pp.2006, 34(6)[DOI]
  4. A. Econimou, "Equilibrium balking strategies in the observable single-server queue with breakdowns and repairs", Operations Research Letters, 36(6), pp.696~699 (2008)
  5. 이유태, "DISCRETE-TIME BULK-SERVICE QUEUE WITH MARKOVIAN SERVICE INTERRUPTION AND PROBABILISTIC BULK SIZE", Journal of Applied Mathematics and Informatics, 28(1), pp.275~282 (2010), 한국전산응용수학회
  6. G. Falin, "An M", G, Perform. Evaluation, pp.2010, 67(7)[DOI]
  7. F. Zhang, "A discrete-time unreliable Geo=G=1 retrial queue with balking customers, second optional service, and general retrial times", Mathematical Problems in Engineering, 2013, pp.1~12 (2013)
  8. C. T. Do, "A lightweight algorithm for probability-based spectrum decision scheme in multiple channels cognitive radio networks", IEEE Commun. Lett, 17(3), pp.509~512 (2013)
  9. G. Choudhury, "An unreliable retrial queue with delaying repair and general retrial times under Bernoulli vacation schedule", Applied Mathematics and Computation, 230, pp.436~450 (2014)
  10. N. Gharbi, "The impact of breakdowns disciplines and repeated attempts on performance of small cell networks", J. Computational Science, 5(4), pp.633~644 (2014)
  11. Shin, F., "A decision tool for assembly line breakdown action", Proc. 2004 Winter Simulation Conference, pp.1122~1127 (2004)
  12. G, "Structured Stochastic Matrices of M", pp.Marcel Dekker, 1 Type and Their Applications
  13. D. A. Bini, "Advances in Matrix-Analytic Methods for Stochastic Models", pp.87~97 (2000), Notable Publica-tions Inc
  14. V. Ramaswami, "A stable recursion for the steady state vector in markov chains of M", G, Comm. Statist. Stochastic Models, pp.1988, 4[DOI]
  15. B. Meini, "An improved FFT-based version of Ramaswami's formular", Comm. Statist. Stochastic Models, 13, pp.223~238 (1997)
  16. B. Meini, "Solving M", G, Comm. Statist. Stochastic Models, pp.1988, 14(1-2)[DOI]
  17. A. Riska, "An exact aggregation approach for M", G, Proc. ACM International Conference on Measurement and Modeling of Computer Systems (ACM SIGMETRICS '02), pp.2002[DOI]
  18. J. Walraevens, "Performance analysis of priority queueing system in discrete time, Network Performance Engineering", Lecture Notes in Computer Science, 5233, pp.203~232 (2011)

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