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Original Articles

M/G/1 Multiple Vacation Model with Balking for a Class of Disciplines

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Pages 383-407 | Received 01 Nov 2013, Accepted 01 May 2014, Published online: 09 Feb 2016

References

  • Borst, S. C. and Boxma, O. J. (1997). Polling models with and without switchover times. Operations Research, 45, 536–543.
  • Boxma, O., Perry, D., Stadje, W. and Zacks, S. (2010). The busy period of an M/G/1 queue with customer impatience. Journal of Applied Probability, 47(1), 130–145.
  • Eisenberg, M. (1972). Queues with periodic service and changeover time. Operations Research, 20, 440–451.
  • Kerner, Y. (2011). Equilibrium joining probabilities for an M/G/1 queue. Games and Economic Behavior, 71(2), 521–526.
  • Kleinrock, L. (1975). Queuing Systems. Volume I: Theory. Wiley, New York.
  • Kuehn, P. J. (1979). Multiqueue systems with nonexhaustive cyclic service. The Bell System Technical Journal, 58, 671–698.
  • Liang, J. Y. and Wu, P. X. (2012). Performance analysis of state-dependent M/Hk/1/L queue with balking. Mechanics and Materials, 198–199, 732–736.
  • Liu, L. and Kulkarni, V. G. (2006). Explicit solutions for the steady state distributions in M/PH/1 queues with workload dependent balking. Queueing Systems, 52(4), 251–260.
  • Liu, L. and Kulkarni, V. G. (2008). Busy period analysis for M/PH/1 queues with workload dependent balking. Queueing Systems, 59(1), 37–51.
  • Li, L., Yue, D. and Qi, H. (2008). M/G/1 queueing system with balking, reneging and multiple vacations. Journal of Computational Information Systems, 4(5), 2245–2253.
  • Li, C., Yue, W. and Yue, D. (2009). Performance analysis of an M/E k /1 queue with balking and two service rates based on a single vacation policy. Advances in Queueing Theory and Network Applications, 103–116.
  • Ma, Z., Yue, W. and Tian, N. (2010). Performance analysis of a Geom/Geom/1 queueing system with variable input probability. 5 th International Conference on Queueing Theory and Network Applications (QTNA 2010). Beijing, China.
  • Thomo, L. (1997). A multiple vacation model M[X]/G/1 with balking. Nonlinear Analysis: Theory, Methods & Applications, 30(4), 2025–2030.
  • Wolff, R. W. (1982). Poisson arrivals see time averages. Operations Research, 30, 223–231.
  • Yue, D., Yue, W. and Sun, Y. (2006). Performance analysis of an M/M/c/N queueing system with balking, reneging and synchronous vacations of partial servers. The Sixth International Symposium on Operations Research and Its Applications (ISORA’06). Xinjiang, China.
  • Zhang, F., Wang, J. and Liu, B. (2013). Equilibrium joining probabilities in observable queues with general service and setup times. Journal of Industrial and Management Optimization (JIMO), 9(4), 901–917.

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