Wireless Networks

, Volume 6, Issue 2, pp 121–129 | Cite as

Handover and new call blocking performance with dynamic single‐channel assignment in linear cellular arrays

  • Alexander L. Wijesinha
  • Srikanta P. Kumar
  • Deepinder P. Sidhu
Article

Abstract

We consider dynamic assignment of a single channel in a linear cellular array, and derive closed‐form expressions for the blocking probability of handover calls and new calls in terms of the array size and traffic load assuming a Markov traffic model. Handover and new call blocking performance in the limit of large arrays and extreme traffic loads is also determined.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    A.S. Acampora and M. Naghshineh, An architecture and methodology for mobile-executed handoff in cellular ATM networks, IEEE Journal on Selected Areas in Communications 12 (October 1994) 1365–1375.Google Scholar
  2. [2]
    D. Bertsekas and R. Gallager, Data Networks (Prentice-Hall, Englewood Cliffs, NJ, 1992) (second edition).MATHGoogle Scholar
  3. [3]
    L. Cimini, Jr., G. Foschini and L. Shepp, Single-channel usercapacity calculations for self-organizing cellular systems, IEEE Transactions on Communications 42 (December 1994) 3137–3143.Google Scholar
  4. [4]
    L. Cimini, Jr., G. Foschini, C.-L. I and Z. Miljanic, Call blocking performance of distributed algorithms for dynamic channel allocation in microcells, IEEE Transactions on Communications 42 (August 1994) 2600–2607.Google Scholar
  5. [5]
    D.E. Everitt and D. Manfield, Performance analysis of cellular mobile communication systems with dynamic channel assignment, IEEE Journal on Selected Areas in Communications 7 (October 1989) 1172–1180.Google Scholar
  6. [6]
    W. Feller, An Introduction to Probability Theory and its Applications (Wiley, New York, 1967) (third edition).Google Scholar
  7. [7]
    R. Guerin, Channel occupancy time distribution in a cellular radio system, IEEE Transactions on Vehicular Technology 36 (August 1987).Google Scholar
  8. [8]
    S. Jordan and A. Khan, A performance bound on dynamic channel allocation in cellular systems: equal load, IEEE Transactions on Vehicular Technology 43 (April 1994) 333–344.Google Scholar
  9. [9]
    S. Jordan and P.P. Varaiya, Throughput in multiple service, multiple resource communications networks, IEEE Transactions on Communications 39 (August 1991) 1216–1222.Google Scholar
  10. [10]
    F.P. Kelly, Reversibility and Stochastic Networks (Wiley, New York, 1979).MATHGoogle Scholar
  11. [11]
    F.P. Kelly, Stochastic models of computer communication systems, Journal of the Royal Statistical Society. Series B 47(3) (1985) 379–395.MATHMathSciNetGoogle Scholar
  12. [12]
    J.W. Ketchum, Routing in cellular mobile radio communications networks, in: Routing in Communications Networks, ed. M. Steenstrup (Prentice-Hall, 1995).Google Scholar
  13. [13]
    L. Kleinrock, Queueing Systems, Volume I: Theory (Wiley, New York, 1975).Google Scholar
  14. [14]
    D. Knuth, The Art of Computer Programming (Addison-Wesley, Reading, MA, 1973) (second edition).Google Scholar
  15. [15]
    S.P.R. Kumar, H.W. Chung and M. Lakshminarayan, Dynamic channel allocation in cellular/wireless networks, in: Third Generation Wireless Networks, eds. S. Nanda and D.J. Goodman (Kluwer Academic, 1992).Google Scholar
  16. [16]
    M. Naghshineh and A.S. Acampora, Design and control of microcellular networks with QOS provisioning for real-time traffic, Journal on High Speed Networking 5 (1996) 53–71.Google Scholar
  17. [17]
    D.L. Pallant and P.G. Taylor, Modeling handovers in cellular mobile networks with dynamic channel allocation, Operations Research 43 (1995) 33–42.MATHCrossRefGoogle Scholar
  18. [18]
    T.S. Rappaport, Wireless Communications (Prentice-Hall, Englewood Cliffs, NJ, 1996).Google Scholar
  19. [19]
    R. Rezaiifar, A.M. Makowski and S.P. Kumar, Stochastic control of handoffs in cellular networks, IEEE Journal on Selected Areas in Communications 13 (August 1994) 1348–1360.Google Scholar
  20. [20]
    A.L. Wijesinha, S.P. Kumar and D.P. Sidhu, Call blocking probabilities for dynamic and fixed assignment of a single channel in a linear cellular array, Journal on High Speed Networking 5 (1996) 35–51.Google Scholar

Copyright information

© Kluwer Academic Publishers 2000

Authors and Affiliations

  • Alexander L. Wijesinha
    • 1
  • Srikanta P. Kumar
    • 2
  • Deepinder P. Sidhu
    • 3
  1. 1.Department of Computer and Information SciencesTowson UniversityTowsonUSA
  2. 2.Advanced Network Technologies DivisionInformation Technology LaboratoryGaithersburgUSA
  3. 3.Maryland Center for Telecommunications Research & Department of Computer Science and Electrical EngineeringUniversity of Maryland Baltimore CountyBaltimoreUSA

Personalised recommendations