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Articles

Comparisons of site-clearing and non-site-clearing Markovian queues with server failures and unreliable repairer

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Pages 211-230 | Accepted 04 Oct 2017, Published online: 31 Oct 2017

References

  • Ammar, S. (2014). Transient behavior of a two-processor heterogeneous system with catastrophes, server failures and repairs. Applied Mathematical Modelling, 38, 2224–2234.
  • Artalejo, J. (2000). G-Networks: A versatile approach for work removal in queueing networks. European Journal of Operational Research, 126, 233–249.
  • Baumann, H., & Sandmann, W. (2012). Steady state analysis of level dependent quasi-birth-and-death processes with catastrophes. Computers & Operations Research, 39, 413–423.
  • Boudali, O., & Economou, A. (2012). Optimal and equilibrium balking strategies in the single server Markovian queue with catastrophes. European Journal of Operational Research, 218, 708–715.
  • Boudali, O., & Economou, A. (2013). The effect of catastrophes on the strategic customer behavior in queueing systems. Naval Research Logistics, 60(7), 571–587.
  • Di Crescenzo, A., Giorno, V., Kumar, B., & Nobile, A. (2012). A double-ended queue with catastrophes and repairs, and a jump-diffusion approximation. Methodology and Computing in Applied Probability, 14(4), 937–954.
  • Di Crescenzo, A., Giorno, V., Nobile, A., & Ricciardi, L. (2003). On the M/M/1 queue with catastrophes and its continuous approximation. Queueing Systems, 43, 329–347.
  • Dimou, S., & Economou, A. (2013). The single server queue with catastrophes and geometric reneging. Methodology and Computing in Applied Probability, 5(3), 595–621.
  • Economou, A., & Kapodistria, S. (2010). Synchronized abandonments in a single server unreliable queue. European Journal of Operational Research, 203, 143–155.
  • Giorno, V., Nobile, A., & Spina, S. (2014). On some time non-homogeneous queueing systems with catastrophes. Applied Mathematics and Computation, 245, 220–234.
  • Jiang, T., Liu, L., & Li, J. (2015). Analysis of the M/G/1 queue in multi-phase random environment with disasters. Journal of Mathematical Analysis and Applications, 430, 857–873.
  • Kalidass, K., Gopinath, S., Gnanaraj, J., & Ramanath, K. (2012). Time dependent analysis of an M/M/1/N queue with catastrophes and a repairable server. Opsearch, 49, 39–61.
  • Kumar, B., Krishnamoorthy, A., Madheswari, S., & Basha, S. (2007). Transient analysis of a single server queue with catastrophes, failures and repairs. Queueing Systems, 56(3–4), 133–141.
  • Kumar, B., & Madheswari, S. (2005). Transient analysis of an M/M/1 queue subject to catastrophes and server failures. Stochastic Analysis and Applications, 23(2), 329–340.
  • Mytalas, G., & Zazanis, M. (2015). An MX/G/1 queueing system with disasters and repairs under a multiple adapted vacation policy. Naval Research Logistics, 62(3), 171–189.
  • Panda, G., Goswami, V., & Banik, A. D. (2016). Equilibrium and socially optimal balking strategies in Markovian queues with vacations and sequential abandonment. Asia-Pacific Journal of Operational Research, 33(5), 1650036 (1–34).
  • Sabbaghi, M., Cade, W., Behdad, S., & Bisantz, A. M. (2017). The current status of the consumer electronics repair industry in the U.S.: A survey-based study. Resources, Conservation and Recycling, 116, 137–151.
  • Sun, W., Li, S., & Tian, N. (2017). Equilibrium and optimal balking strategies of customers in unobservable queues with double adaptive working vacations. Quality Technology and Quantitative Management, 14(1), 94–113.
  • Tarabia, A. (2011). Transient and steady state analysis of an M/M/1 queue with balking, catastrophes, server failures and repaires. Journal of Industrial and Management Optimization, 7(4), 811–823.
  • Towsley, D., & Tripathi, S. K. (1991). A single server priority queue with server failures and queue flushing. Operations Research Letters, 10(6), 353–362.
  • Wang, J., Liu, B., & Li, J. (2008). Transient analysis of an M/G/1 retrial queue subject to disasters and server failures. European Journal of Operational Research, 189, 1118–1132.
  • Yang, W. S., Kim, J. D., & Chae, K. C. (2002). Analysis of M/G/1 stochastic clearing systems. Stochastic Analysis and Applications, 20(5), 1083–1100.
  • Yechiali, U. (2007). Queues with system disasters and impatient customers when system is down. Queueing Systems, 56, 195–202.

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