Skip to main content

Algorithmic Methods for Analysis of Integral Cellular Networks

  • Chapter
  • First Online:
Multidimensional Queueing Models in Telecommunication Networks

Abstract

In the previous chapter, the second-generation cellular networks which are primarily concerned with single service class (voice traffic) communications were investigated. However, future generation wireless networks need to incorporate multimedia services (e.g., voice, video, data, etc.). In such networks all traffics (type of services) can be broadly divided into two types of real-time (such as voice, video transmission) and non-real-time (such as data transmission) services. In this chapter, models of integral cellular networks with real-time (RT) and non-real-time (NRT) calls are investigated. For easy reference here we define the RT calls as voice calls, while NRT calls are considered as data calls. In such networks four types of calls are distinguished: handover voice calls (hv-calls), new (or originating) voice calls (ov-calls), handover calls of data (hd-calls), and new (or originating) calls of data (hd-calls). The importance of these calls decreases in the above order. Voice calls (v-calls) are handled according to the pure loss scheme (i.e., the calls not accepted at the time of arrival are lost), and data calls (d-calls) are relatively tolerant to possible delays, i.e., they can wait in a queue of finite or infinite length. The access of heterogeneous voice calls is controlled by means of two-parameter state-dependent strategies, which limits the access on new and handover voice calls. Two schemes for buffering of data calls have been considered. In the first scheme only handover data calls can form a queue of finite and infinite length, while in the second one both new and handover data calls might be waiting in queue. In the second scheme the access of new data calls to buffer is restricted by means of state-dependent reservation scheme. Both methods for exact and approximate evaluation of the QoS metrics in such networks are developed. There has been also an investigation of the problems of choosing the required values of parameters for the introduced access strategies satisfying the given quality levels of servicing the heterogeneous calls. The results of comparative analysis of QoS metrics of the model under different access schemes have been presented. Results of numerical experiments are presented.

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
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover 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. Ahmed MH (2005) Call admission control in wireless network. A comprehensive survey. IEEE Commun Surv Tutorials 7(1):50–69

    Article  Google Scholar 

  2. Carvalho GHS, Martins VS, Frances CRL, Costa JCWA, Carvalho SV (2008) Performance analysis of multi-service wireless network: An approach integrating CAC, scheduling, and buffer management. Comput Electr Eng 34:346–356

    Article  MATH  Google Scholar 

  3. Das SK, Jayaram R, Kakani NK, Sen SK (2000) A call admission and control scheme for QoS provisioning in next generation wireless networks. Wirel Netw 6:17–30

    Article  MATH  Google Scholar 

  4. Feng W, Kowada M (2008) Performance analysis of wireless mobile networks with queueing priority and guard channels. Int Trans Oper Res 15:481–508

    Article  MATH  MathSciNet  Google Scholar 

  5. Ghaderi M, Boutaba R (2006) Call admission control for voice/data integration in broadband wireless networks. IEEE Trans Mobile Comput 5(3):193–207

    Article  Google Scholar 

  6. Haung YR, Lin YB, Ho JM (2000) Performance analysis for voice/data integration on a finite-buffer mobile system. IEEE Trans Veh Tech 49(2):367–378

    Article  Google Scholar 

  7. Kolmogorov A (1936) Zum theorie der Markoffschen ketten. Mathematische Annalen B112:155–160

    Article  MathSciNet  Google Scholar 

  8. Melikov AZ, Ponomarenko LA, Kim CS (2011) Methods for analysis of multi-service wireless cellular communication networks with queues of non-real time calls. Part I. Cut-off strategy. J Autom Inform Sci 43(7):46–60

    Article  Google Scholar 

  9. Melikov AZ, Ponomarenko LA, Kim CS (2011) Methods for analysis of multi-service wireless cellular communication networks with queues of non-real time calls. Part II. Guard channels strategy. J Autom Inform Sci 43(10):19–28

    Article  Google Scholar 

  10. Melikov AZ, Ponomarenko LA, Kim CS (2013) Analysis of a cellular network model with multi-parameter control for call admission to channels and to data call buffer. Cybern Syst Anal 49(6):836–844

    Article  Google Scholar 

  11. Melikov AZ, Ponomarenko LA, Kim CS (2013) Approximate analysis method for multi-service cellular networks with the buffer for data calls. J Autom Inform Sci 45(6):13–24

    Article  MathSciNet  Google Scholar 

  12. Melikov AZ, Ponomarenko LA, Kim CS (2014) Unified approach to analysis of models of cellular networks with buffering of data calls. Autom Rem Contr 75(8):1420–1432

    Google Scholar 

  13. Pavlidou FN (1994) Two-dimensional traffic models for cellular mobile systems. IEEE Trans Commun 42(2/3/4):1505–1511

    Article  Google Scholar 

  14. Ponomarenko L, Kim CS, Melikov A (2010) Performance analysis and optimization of multi-traffic on communication networks. Springer, Heidelberg

    Book  MATH  Google Scholar 

  15. Wei L, Chao X (2004) Modeling and performance evaluation of cellular mobile networks. IEEE/ACM Trans Netw 12(1):131–145

    Article  MathSciNet  Google Scholar 

  16. Yuang MC, Haung YR (1998) Bandwidth assignment paradigm for broadband integrated voice/data networks. Comput Commun 21(3):243–253

    Article  Google Scholar 

  17. Zhuang W, Bensaou B, Chua KC (2000) Handoff priority scheme with preemptive finite queuing and reneging in mobile multiservice networks. Telecommun Syst 15(1–2):37–51

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Melikov, A., Ponomarenko, L. (2014). Algorithmic Methods for Analysis of Integral Cellular Networks. In: Multidimensional Queueing Models in Telecommunication Networks. Springer, Cham. https://doi.org/10.1007/978-3-319-08669-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-08669-9_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-08668-2

  • Online ISBN: 978-3-319-08669-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics