Open Access
Issue
RAIRO-Oper. Res.
Volume 55, Number 5, September-October 2021
Page(s) 2807 - 2825
DOI https://doi.org/10.1051/ro/2021130
Published online 20 September 2021
  • A. Burnetas and A. Economou, Equilibrium customer strategies in a single server Markovian queue with setup times. Queue. Syst. 56 (2007) 213–228. [Google Scholar]
  • N.H. Do, T.V. Do and A. Melikov, Equilibrium customer behavior in the M/M/1 retrial queue with working vacations and a constant retrial rate. Oper. Res. 20 (2020) 627–646. [Google Scholar]
  • A. Economou and S. Kanta, Equilibrium balking strategies in the observable single-server queue with breakdowns and repairs. Oper. Res. Lett. 36 (2008) 696–699. [Google Scholar]
  • S. Jin, S. Hao, X. Qie and W. Yue, A virtual machine scheduling strategy with a speed switch and a multi-sleep mode in cloud data centers. J. Syst. Sci. Syst. Eng. 28 (2019) 194–210. [Google Scholar]
  • S. Jin, S. Hao and B. Wang, Virtual machine scheduling strategy based on dual-speed and work vacation mode and its parameter optimization. J. Commun. 38 (2017) 10–20. [Google Scholar]
  • S. Jin, X. Qie, W. Zhao, W. Yue and Y. Takahashi, A clustered virtual machine allocation strategy based on a sleep-mode with wake-up threshold in a cloud environment. Ann. Oper. Res. 293 (2020) 193–212. [Google Scholar]
  • D.H. Lee, Equilibrium balking strategies in Markovian queues with a single working vacation and vacation interruption. Qual. Technol. Quant. Manage. 16 (2019) 355–376. [Google Scholar]
  • J. Li, Analysis of the discrete-time Geo/G/1 working vacation queue and its application to network scheduling. Comput. Indus. Eng. 65 (2013) 594–604. [Google Scholar]
  • K. Li, J. Wang, Y. Ren and J. Chang, Equilibrium joining strategies in M/M/1 queues with working vacation and vacation interruptions. RAIRO – OR 50 (2016) 451–471. [Google Scholar]
  • R. Marek and K. Hoon, Cognitive systems and operations research in big data and cloud computing. Ann. Oper. Res. 265 (2018) 183–186. [Google Scholar]
  • A.Z. Melikov, A.M. Rustamov and L.A. Ponomarenko, Approximate analysis of a queueing-inventory system with early and delayed server vacations. Autom. Remote Cont. 78 (2017) 1991–2003. [Google Scholar]
  • P. Naor, The regulation of queue size by levying tolls. Econometrica 37 (1969) 15–24. [Google Scholar]
  • I. Padmavathi, B. Sivakumar and G. Arivarignan, A retrial inventory system with single and modified multiple vacation for server. Ann. Oper. Res. 233 (2015) 335–364. [Google Scholar]
  • Y. Peng and J. Wu, A Lévy-Driven stochastic queueing system with server breakdowns and vacations. Mathematics 8 (2020) 13–29. [Google Scholar]
  • L. Servi and S. Finn, M/M/1 queues with working vacations (M/M/1/WV). Perform. Eval. 50 (2002) 41–52. [Google Scholar]
  • C. Shekhar, S. Varshney and A. Kumar, Optimal and sensitivity analysis of vacation queueing system with F-policy and vacation interruption. Syst. Eng. 45 (2020) 7091–7107. [Google Scholar]
  • W. Sun, S. Li, Y. Wang and N. Tian, Comparisons of exhaustive and non exhaustive M/M/1/N queues with working vacation and threshold policy. J. Syst. Sci. Syst. Eng. 28 (2019) 154–167. [Google Scholar]
  • H. Takagi, Queueing analysis, a foundation of performance evaluation, Vol. 1 : Vacation and Priority Systems. North-Holland, New York (1991). [Google Scholar]
  • N. Tian and Z.G. Zhang, Vacation queueing models: Theory and applications. Springer-Verlag, New York, Inc (2006). [Google Scholar]
  • R. Tian and Y. Wang, Optimal strategies and pricing analysis in M/M/1 queues with a single working vacation and multiple vacations. RAIRO – OR 54 (2020) 1593–1612. [Google Scholar]
  • J. Wang, Y. Zhang and Z.G. Zhang, Strategic joining in an M/M/k queue with asynchronous and synchronous multiple vacations. J. Oper. Res. Soc. 2 (2019) 1–19. [Google Scholar]
  • F. Yang, Y. Jiang and Q. Li, Mean-field macro computation in large-scale cloud service systems with resource management and jobs scheduling. J. Syst. Sci. Syst. Eng. 28 (2019) 238–261. [Google Scholar]
  • F. Zhang and J. Wang, Equilibrium analysis of the observable queue with balking and delayed repairs. Appl. Math. Comput. 218 (2011) 2716–2729. [Google Scholar]
  • F. Zhang, J. Wang and B. Liu, Equilibrium balking strategies in Markovian queues with working vacations. Appl. Math. Model. 37 (2013) 8264–8282. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.