196
Views
6
CrossRef citations to date
0
Altmetric
Articles

Unreliable M/M/1/1 retrial queues with set-up time

&
Pages 589-601 | Accepted 14 Apr 2017, Published online: 08 May 2017

References

  • Aissani, A. (1993). Unreliable queuing with repeated orders. Microelectronics Reliability, 33, 2093–2106.
  • Aissani, A. (1994). A retrial queue with redundancy and unreliable server. Queueing Systems, 17, 431–449.
  • Artalejo, J. R. (1994). New results in retrial queueing systems with breakdown of the servers. Statistica Neerlandica, 48, 23–36.
  • Artalejo, J. R. (1997). Analysis of an M/G/1 queue with constant repeated attempts and server vacations. Computers & Operations Research, 24, 493–504.
  • Artalejo, J. R., Economou, A., & Lopez-Herrero, M. J. (2005). Analysis of a multiserver queue with setup times. Queueing Systems, 51, 53–76.
  • Artalejo, J. R., Joshua, V., Krishnamoorthy, A., & An, M. (2002). An M/G/1 retrial queue with orbital search by the server. Advances in Stochastic Modelling, 41–54.
  • Barroso, L. A., & Hlzle, U. (2007). The case for energy-proportional computing. Computer, 40, 33–37.
  • Bischof, W. (2001). Analysis of M/G/1-Queues with setup times and vacations under six different service disciplines. Queueing Systems, 39, 265–301.
  • 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.
  • Burnetas, A., & Economou, A. (2007). Equilibrium customer strategies in a single server Markovian queue with setup times. Queueing Systems, 56, 213–228.
  • Chen, P., & Zhou, Y. (2015). Equilibrium balking strategies in the single server queue with setup times and breakdowns. Operational Research, 15, 213–231.
  • Choudhury, G. (2000). An MX/G/1 queueing system with a setup period and a vacation period. Queueing Systems, 36, 23–38.
  • Do, T. V. (2010). M/M/1 retrial queue with working vacations. Acta Informatica, 47, 67–75.
  • Dudin, A. N., Krishnamoorthy, A., Joshua, V., & Tsarenkov, G. V. (2004). Analysis of the BMAP/G/1 retrial system with search of customers from the orbit. European Journal of Operational Research, 157, 169–179.
  • Gandhi, A., & Harchol-Balter, M. (2009). M/G/k with exponential setup. Technical Report CMU-CS-09-166, Carnegie Mellon University, School of Computer Science..
  • Gandhi, A., Harchol-Balter, M., & Adan, I. (2010). Server farms with setup costs. Performance Evaluation, 67, 1123–1138.
  • Hassan, M., & Atiquzzaman, M. (1997). A delayed vacation model of an M/G/1 queue with setup time and its application to SVCC-based ATM networks. IEICE Transactions on Communications, 80, 317–323.
  • Kulkarni, V. G., & Choi, B. D. (1990). Retrial queues with server subject to breakdowns and repairs. Queueing Systems, 7, 191–208.
  • Medhi, J., & Templeton, J. G. (1992). A Poisson input queue under N-policy and with a general start up time. Computers & Operations Research, 19, 35–41.
  • Pakes, A. G. (1969). Some conditions for ergodicity and recurrence of markov chains. Operations Research, 17, 1058–1061.
  • Phung-Duc, T. (2014). Server farms with batch arrival and staggered setup. In Proceedings of the Fifth Symposium on Information and Communication Technology (pp. 240–247). New York, NY: ACM.
  • Phung-Duc, T. (2016). M/M/1/1 retrial queues with setup time. In: T. V. Do, Y. Takahashi, W. Yue, & V. H. Nguyen (Eds.), Queueing Theory and Network Applications. Advances in Intelligent Systems and Computing (Vol. 383, pp. 93–104). Cham: Springer.
  • Phung-Duc, T. (2017). Single server retrial queues with setup time. Journal of Industrial and Management Optimization, in press (Published on-line). doi:10.3934/jimo.2016075
  • Raghavendra, R., Ranganathan, P., Talwar, V., Wang, Z., & Zhu, X. (2008). No power struggles: coordinated multi-level power management for the data center. Computer Architecture News, 42, 48–59.
  • Sherman, N. P., & Kharoufeh, J. P. (2006). An M/M/1 retrial queue with unreliable server. Operations Research Letters, 34, 697–705.
  • Takagi, H. (1990). Priority queues with setup times. Operations Research, 38, 667–677.
  • Wang, J., Cao, J., & Li, Q. (2001). Reliability analysis of the retrial queue with server breakdowns and repairs. Queueing Systems, 38, 363–380.
  • Yang, T., & Li, H. (1994). The M/G/1 retrial queue with the server subject to starting failures. Queueing Systems, 16, 83–96.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.