Skip to main content

Performance Measures and Optimization of Queueing System with Reserve Server

  • Conference paper
  • First Online:
Distributed Computer and Communication Networks (DCCN 2016)

Abstract

In this paper, we consider a single-server queueing system with infinite buffer and reserve server which can be used for modeling energy saving schemes in some real information transmission and processing systems. An arriving customer is serviced by the main server until the end of the service time or the expiration of the limited time defined by the timer which is set up at the beginning of the service. If the service of a customer has not yet completed while the timer has expired then the reserve server joins to the service of the customer. This allows to avoid too large delays in a system with reasonable energy saving.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Mitrani, I.: Trading power consumption against performance by reserving blocks of servers. In: Tribastone, M., Gilmore, S. (eds.) EPEW 2012. LNCS, vol. 7587, pp. 1–15. Springer, Heidelberg (2013). doi:10.1007/978-3-642-36781-6_1

    Chapter  Google Scholar 

  2. Mitrani, I.: Managing performance and power consumption in a server farm. Ann. Oper. Res. 202, 121–134 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  3. Mitrani, I.: Service center trade-offs between customers impatience and power consumation. Perform. Eval. 68, 1222–1231 (2011)

    Article  Google Scholar 

  4. Shwartz, C., Pries, R., Tran-Gia, P.: A queueing analysis of an energy-saving mechanism in data centers. In: Proceedings of International Conference on Information Networking, pp. 70–75 (2012)

    Google Scholar 

  5. Gortsev, A.M., Nazarov, A.A., Terpugov, A.F.: Control and Adaptation in Queueing Systems. Tomsk University Press, Tomsk (1978). (in Russian)

    Google Scholar 

  6. Chakravarthy, S.R., Agnihothri, S.R.: A server backup model with Markovian arrivals and phase type services. Eur. J. Oper. Res. 184, 584–609 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  7. Kim, C.S., Dudin, A., Dudin, S., Dudina, O.: Hysteresis control by the number of active servers in queueing system with priority service. Perform. Eval. 101, 20–33 (2016)

    Article  MATH  Google Scholar 

  8. Neuts, M.F.: Matrix-Geometric Solutions in Stochastic Models. The Johns Hopkins University Press, Baltimore (1981)

    MATH  Google Scholar 

  9. Klimenok, V.I., Dudin, A.N.: Multi-dimensional asymptotically quasi-Toeplitz Markov chains and their application in queueing theory. Queueing Syst. 54, 245–259 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  10. Dudin, A., Klimenok, V., Lee, M.H.: Recursive formulas for the moments of queue length in the \(BMAP/G/1\) queue. IEEE Commun. Lett. 13, 351–353 (2009)

    Article  Google Scholar 

Download references

Acknowledgments

This work has been financially supported by the Russian Science Foundation and the Department of Science and Technology (India) via grant No 16-49-02021 (INT/RUS/RSF/16) for the joint research project by the V.A. Trapeznikov Institute of Control Sciences and the CMS College Kottayam.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vladimir Vishnevskiy .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing AG

About this paper

Cite this paper

Klimenok, V., Dudin, A., Vishnevskiy, V., Shumchenya, V., Krishnamoorthy, A. (2016). Performance Measures and Optimization of Queueing System with Reserve Server. In: Vishnevskiy, V., Samouylov, K., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2016. Communications in Computer and Information Science, vol 678. Springer, Cham. https://doi.org/10.1007/978-3-319-51917-3_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-51917-3_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-51916-6

  • Online ISBN: 978-3-319-51917-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics