Skip to main content
Log in

A Spectral-Based Analysis of Priority Channel Assignment Schemes in Mobile Cellular Communication Systems*

  • Published:
International Journal of Wireless Information Networks Aims and scope Submit manuscript

Abstract

In this paper we consider a queueing system with two arrival streams with application to mobile cellular communications systems is considered in this paper. Stream 1 is considered to require a higher priority to access the server than stream 2. On the other hand, while stream 2 is handled following a delay model, stream 1 has stringent constraints with regard to the waiting time, and thus it is treated according to a loss model. We model a number of schemes that give priority to stream 1. The analysis of the model is carried out by applying the generating function method combined with spectral expansion tools. We compare the numerical cost and the stability of this method whit those of the more widely used matrix-geometric approach. Although the spectral approach is in general better in terms of numerical performance, we evaluate though numerical examples under which circumstances of load, system size and type of priority scheme, the gain is significant.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Daehyong Hong and Stephen S. Rappaport, Traffic model and performance analysis for cellular mobile radio telephone systems with prioritized and nonprioritized handoff procedures,IEEE Transactions on Vehicular Technology, Vol. VT-35, No. 3, pp. 77–92, Aug. 1986. See also: CEAS Technical Report No. 773, June 1, 1999, College of Engineering and Applied Sciences, State University of New York, Stony Brook, NY 11794, USA.

  2. Roch A. Guérin (1988) ArticleTitleQueueing-blocking system with two arrival streams and guard channel IEEE Transactions on Communications 36 IssueID2 153–163 Occurrence Handle10.1109/26.2745

    Article  Google Scholar 

  3. Sirin Tekinay Bijan Jabbari (1991) ArticleTitleHandover and channel assignment in mobile cellular networks IEEE Communications Magazine 29 42–46 Occurrence Handle10.1109/35.109664

    Article  Google Scholar 

  4. Sirin Tekinay Bijan Jabbari (1992) ArticleTitleA measurement-based prioritization scheme for handovers in mobile cellular networks IEEE Journal on Selected Areas in Communications 10 IssueID8 1343–1350 Occurrence Handle10.1109/49.166761

    Article  Google Scholar 

  5. Stephen S. Rappaport, Modeling the hand-off problems in personal communications networks, In IEEE VTC, pp. 517–523, IEEE, 1991.

  6. Stephen S. Rappaport and Gustavo Monte, Blocking, handoff and traffic performance for cellular communication system with mixed platforms, In IEEE VTC, pp. 1018–1020, IEEE, 1992.

  7. Francisco Barceló (May 2003) ArticleTitlePerformance analysis of handoff resource allocation strategies through the state-dependent rejection scheme IEEE Transactions on Wireless 3 IssueID3 900–909 Occurrence Handle10.1109/TWC.2004.826310

    Article  Google Scholar 

  8. S. Dharmaraja K.S. Trivedi D. Logothetis (2003) ArticleTitlePerformance modeling of wireless networks with generally distributed handoff interarrival times Computer Communications 26 1747–1755 Occurrence Handle10.1016/S0140-3664(03)00044-6

    Article  Google Scholar 

  9. A.S. Alfa W. Li (Oct. 2002) ArticleTitlePCS networks with correlated arrival process and retrial phenomenon IEEE Transactions on Wireless 1 IssueID4 630–637 Occurrence Handle10.1109/TWC.2002.804077

    Article  Google Scholar 

  10. Wen-Bin Yang Evaggelos Geraniotis (May 1994) ArticleTitleAdmission policies for integrated voice and data traffic in CDMA packet radio networks IEEE Journal on Selected Areas in Communications 12 IssueID4 654–664 Occurrence Handle10.1109/49.286672

    Article  Google Scholar 

  11. Young Chon Kim, Dong Eun Lee, Bong Ju Lee, Young Sun Kim and Biswanath Mukherjee, Dynamic channel reservation based on mobility in wireless ATM networks, IEEE Communications Magazine, Vol. 37, pp. 47–51, Nov. 1999.

  12. K. Mitchell K. Sohraby (2001) ArticleTitleAn analysis of the effects of mobility on bandwidth allocation strategies in multi-class cellular wireless networks In Proceedings of IEEE INFOCOM 2 1075–1084

    Google Scholar 

  13. J.N. Daigle and N. Jain, A queueing system with two arrival streams and reserved servers with application to cellular telephone, In Proceedings of INFOCOM’92, pp. 9C.2.1–9.C.2.7. IEEE, May 1992.

  14. J. Keilson O.C. Ibe (Feb. 1995) ArticleTitleCutoff priority in mobile cellular communications systems IEEE Transactions on Communications 43 IssueID2/3/4 1038–1045 Occurrence Handle10.1109/26.380135

    Article  Google Scholar 

  15. M. Neuts, Matrix-geometric Solutions in Stochastic Models: An Algorithmic Approach, The Johns Hopkins University Press, 1981.

  16. V. Casares and J.M. Holtzman, Dispatch versus interconnect traffic. A comparative analysis in a land mobile trunking system, In Proceedings of the 46th VTC, pp. 242–246, Apr. 1996. See for more details WINLAB TR-118, Rutgers University, NJ, May 1996.

  17. Vicente Casares-Giner (2001) ArticleTitleIntegration of dispatch and interconnect traffic in a land mobile trunking system. waiting time distributions Telecommunication Systems 16 IssueID3,4 539–554 Occurrence Handle10.1023/A:1016691700667

    Article  Google Scholar 

  18. Isi Mitrani, The spectral expansion solution method for Markov processes on lattice strips, In Jewgeni H. Dshalalow (ed.), Advances in Queueing, Theory, Methods and Open Problems chapter 13, pp. 337–352, CRC Press, 1995.

  19. Vicent Pla and Vicente Casares, Delay-loss analysis of channel assignment schemes in mobile cellular with handoff priority and hysteresis control, In Proceedings of 14th ITC Specialist Seminar on Access Networks and Systems, pp. 221–230, 2001.

  20. J. Keilson, Markov Chain Models – Rarity and Exponentiality, Springer-Verlag, 1979.

  21. Vicent Pla Vicente Casares-Giner (2005) ArticleTitleAnalysis of priority channel assignment schemes in mobile cellular communication systems: a spectral theory approach Performance Evaluation 52 IssueID2–3 199–224 Occurrence Handle10.1016/j.peva.2004.07.001

    Article  Google Scholar 

  22. J.D.C. Little (1961) ArticleTitleA proof of the formula: LW Operations Research 9 383–387

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vicent Pla.

Additional information

*This work has been supported by the Spanish Ministry of Science and Technology under projects TEC2004-06437-C05-01 and TIC2003-08272.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pla, V., Casares-Giner, V. A Spectral-Based Analysis of Priority Channel Assignment Schemes in Mobile Cellular Communication Systems*. Int J Wireless Inf Networks 12, 87–99 (2005). https://doi.org/10.1007/s10776-005-7657-5

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10776-005-7657-5

Keywords

Navigation