227
Views
9
CrossRef citations to date
0
Altmetric
Articles

M/M/c balking retrial queue with vacation

, &
Pages 54-66 | Accepted 02 Aug 2017, Published online: 18 Aug 2017

References

  • Arivudainambi, D., & Godhandaraman, P. (2012). Analysis of an Mx/G/1 retrial queue with two phases of service, balking, feedback and K optional vacations. International Journal of Information and Management Sciences, 23, 199–215.
  • Arivudainambi, D., & Godhandaraman, P. (2015). Retrial queueing system with balking, optional service and vacation. Annals of Operations Research, 229, 67–84.10.1007/s10479-014-1765-5
  • Arivudainambi, D., Godhandaraman, P., & Rajadurai, P. (2014). Performance analysis of a single server retrial queue with working vacation. Opsearch, 51, 434–462.10.1007/s12597-013-0154-1
  • Artalejo, J. R. (1997). Analysis of an M/G/1 queue with constant repeated attempts and server vacations. Computers and Operations Research, 24, 493–504.10.1016/S0305-0548(96)00076-7
  • Artalejo, J. R. (2010). Accessible bibliography on retrial queues: Progress in 2000–2009. Mathematical and Computer Modelling, 51, 1071–1081.10.1016/j.mcm.2009.12.011
  • Brooks, S. P., & Morgan, B. J. T. (1995). Optimization using simulated annealing. Journal of the Royal Statistical Society. Series D, 44, 241–257.
  • Chong, E. K. P., & Zak, S. H. (2001). An introduction to optimisation (2nd ed.). New York, NY: Wiley.
  • Choudhury, G. (2008). Steady state analysis of an M/G/1 queue with linear retrial policy and two phase service under Bernoulli vacation schedule. Applied Mathematical Modelling, 32, 2480–2489.10.1016/j.apm.2007.09.020
  • Gao, S., Wang, J., & Do, T. V. (2016). A repairable retrial queue under Bernoulli schedule and general retrial policy. Annual of Operations Research, 247, 169–192.
  • Gharbi, N., & Ioualalen, M. (2010). Numerical investigation of finite-source multiserver systems with different vacation policies. Journal of Computational and Applied Mathematics, 234, 625–635.10.1016/j.cam.2009.11.040
  • Jain, M., & Bhagat, A. (2016). Mx/G/1 retrial vacation queue for multi-optional services, phase repair and reneging. Quality Technology & Quantitative Management, 13, 263–288.10.1080/16843703.2016.1189025
  • Kirkpatrick, S., Gelatt, C. D., & Vecchi, M. P. (1983). Optimization by simulated annealing. Science, 220, 671–680.10.1126/science.220.4598.671
  • Krishna Kumar, B., & Arivudainambi, D. (2002). The M/G/1 retrial queue with Bernoulli schedules and general retrial times. Computers & Mathematics with Applications, 43, 15–30.10.1016/S0898-1221(01)00267-X
  • Kumar, M. S., & Arumuganathan, R. (2010). Performance analysis of single server retrial queue with general retrial time, impatient subscribers, two phases of service and Bernoulli schedule. Tamkang Journal of Science and Engineering, 13, 135–143.
  • Latouche, G., & Ramaswami, V. (1999). Introduction to matrix analytic methods in stochastic modeling (ASA-SIAM Series on Statistics and Applied Probability). Philadelphia, PA: Society for Industrial and Applied Mathematics.10.1137/1.9780898719734
  • Li, J.-H. (2013). Analysis of the discrete-time Geo/G/1 working vacation queue and its application to network scheduling. Computers and Industrial Engineering, 65, 594–604.10.1016/j.cie.2013.04.009
  • Li, H., & Yang, T. (1995). A single-server retrial queue with server vacations and a finite number of input sources. European Journal of Operational Research, 85, 149–160.10.1016/0377-2217(94)E0358-I
  • Nelder, J. A., & Mead, R. (1965). A simplex method for function minimization. The Computer Journal, 7, 308–313.10.1093/comjnl/7.4.308
  • Neuts, M. F. (1981). Matrix geometric solutions in stochastic models: An algorithmic approach. Baltimore: The John Hopkins University Press.
  • Saffer, Z., & Yue, W. (2015). M/G/1 multiple vacation model with balking for a class of disciplines. Quality Technology & Quantitative Management, 12, 381–404.
  • Shin, Y. W. (2015). Algorithmic approach to Markovian multi-server retrial queues with vacations. Applied Mathematics Computation, 250, 287–297.10.1016/j.amc.2014.10.079
  • Templeton, J. G. C. (1999). Retrial queues. Top, 7, 351–353.10.1007/BF02564732
  • Yang, D. Y., Ke, J. C., & Wu, C. H. (2015). The multi-server retrial system with Bernoulli feedback and starting failures. International Journal of Computer Mathematics, 92, 954–969.10.1080/00207160.2014.932908

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.