Skip to main content
SpringerLink
Log in

Performance Analysis of a Mobile Communication Network: Unidirectional Tandem Case with Phase Type Service

  • Published:
Telecommunication Systems Aims and scope Submit manuscript

Abstract

This paper investigates a mobile communication network of N-cells in tandem, in which mobile terminals move in a unidirection and the channel holding time of calls at each cell is assumed to have phase type distributions of order-2. We develop an approximate method to obtain main performances of systems such as the loss probabilities of handover calls and fresh calls, and the expected number of occupied channels in each node. Our approximation is based on decomposing the N cells in tandem into N−1 pairs of cells with overlap. The stochastic correlations among the neighbouring pairs are captured by aid of the state-dependent Poisson input processes. We give examples to demonstrate the accuracy and the convergence properties of the proposed approximation.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A.S. Alfa and B. Liu, Performance analysis of a mobile communication network: The tandem case, Research Report, Department of IMSE, University of Windsor (2000) submitted for publication.

  2. F. Barcelo and J. Jordan, Channel holding time distribution in public cellular telephony, in: Proc. of the 16th Internat. Teletraffic Congress, 1999, pp. 107–116.

  3. R.J. Boucherie and M. Mandjes, Estimation of performance measures for product form cellular mobile communications networks, Telecommunication Systems 10 (1998) 321–354.

    Google Scholar 

  4. R.J. Boucherie and N.M. Van Dijk, On a queueing network model for cellular mobile telecommuni-cations networks, Operations Research 48(1) (2000) 38–49.

    Google Scholar 

  5. A. Brandwajn and Y.L. Jow, An approximation method for tandem queues with blocking, Operations Research 36(1) (1988) 73–83.

    Google Scholar 

  6. D. Everitt, Traffic engineering of the radio interface for cellular mobile networks, Proceedings of the IEEE 82 (1994) 1371–1382.

    Google Scholar 

  7. D. Everitt and N.W. Macfadyen, Analysis of multi-cellular mobile radiotelephone systems with loss, British Telecom Technical Journal 1 (1983) 218–222.

    Google Scholar 

  8. D. Everitt and D. Manfield, Performance analysis of cellular mobile communication systems with dynamic channel assignment, IEEE Journal on Selected Areas in Communications 7 (1989) 1172–1180.

    Google Scholar 

  9. Y. Fang and I. Chlamtac, Teletraffic analysis and mobility modeling of PCS networks, IEEE Transactions on Communications 47(7) (1999) 1062–1072.

    Google Scholar 

  10. R.A. Guerin, Channel occupancy time distribution in a cellular radio system, IEEE Transactions on Vehicular Technology 35(3) (1987) 89–99.

    Google Scholar 

  11. C. Jedrzycki and V.C.M. Leung, Probability distribution of channel holding time in cellular telephony systems, in: IEEE Vehicular Technology Conference VTC'96, 1996, pp. 247–251.

  12. A. Lang and J.L. Arthur, Parameter approximation for phase-type distributions, in: Matrix-Analytic Methods in Stochastic Models, eds. S.R. Chakravarthy and A.S. Alfa (Marcel Dekker, New York, 1996).

    Google Scholar 

  13. K.K. Leung, W.A. Massey and W. Whitt, Traffic models for wireless communication networks, IEEE Journal on Selected Areas in Communications 12(8) (1994) 1353–1364.

    Google Scholar 

  14. W. Li and A.S. Alfa, A PCS network with correlated arrival process and splitted-rating channels, IEEE Journal on Selected Areas in Communications 17(7) (1999) 1318–1325.

    Google Scholar 

  15. W. Li and A.S. Alfa, Channel reservation for handoff calls in a PCS network, IEEE Transactions on Vehicular Technology 49(1) (1999) 1318–1325.

    Google Scholar 

  16. W.A. Massey and W. Whitt, A stochastic model to capture space and time dynamics in wireless communication systems, Probability in Engineering and Information Science 8 (1994) 541–569.

    Google Scholar 

  17. D. McMillan, Traffic modeling and analysis for cellular mobile networks, in: Proc. of the 13th Internat.Teletraffic Congress, 1991, pp. 627–632.

  18. P.V. Orlik and S.S. Rappaport, A model for teletraffic performance and channel holding time characterization in wireless cellular communication with general session and dwell time distributions, IEEE Journal on Selected Areas in Communications 16(5) (1998) 788–803.

    Google Scholar 

  19. D.L. Pallant and P.G. Taylor, Approximations of performance measures in cellular mobile networks with dynamic channel allocation, Telecommunication Systems 3 (1994) 319–163.

    Google Scholar 

  20. D.L. Pallant and P.G. Taylor, Modelling handovers in cellular mobile networks with dynamic channel allocation, Operations Research 43(1) (1995) 33–42.

    Google Scholar 

  21. M. Sidi and D. Starobinski, New call blocking versus handoff blocking in cellular networks, Wireless Networks 3 (1997) 15–27.

    Google Scholar 

  22. B.H. Soong and J.A. Barria, A Coxian model for channel holding time distribution for teletraffic mobility modeling, IEEE Communications Letters 4(12) (2000) 402–404.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Industrial and Manufacturing Systems Engineering, University of Windsor, Windsor, ON, N9B 3P4, Canada

    Attahiru Sule Alfa & Bin Liu

  2. Institute of Applied Mathematics, Chinese Academy of Sciences, China

    Bin Liu

Authors
  1. Attahiru Sule Alfa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bin Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alfa, A.S., Liu, B. Performance Analysis of a Mobile Communication Network: Unidirectional Tandem Case with Phase Type Service. Telecommunication Systems 20, 241–254 (2002). https://doi.org/10.1023/A:1016593111704

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016593111704

Search

Navigation