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

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.

[1]  Frank Kelly,et al.  Reversibility and Stochastic Networks , 1979 .

[2]  Leonard Kleinrock,et al.  Queueing Systems: Volume I-Theory , 1975 .

[3]  Alexander L. Wijesinha,et al.  Call blocking probabilities for dynamic and fixed assignment of a single channel in a linear cellular array , 1996, J. High Speed Networks.

[4]  Armand M. Makowski,et al.  Stochastic Control of Handoffs in Cellular Networks , 1995, IEEE J. Sel. Areas Commun..

[5]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1967 .

[6]  John W. Ketchum.  Routing in cellular mobile radio communications networks , 1995 .

[7]  Mahmoud Naghshineh,et al.  An architecture and methodology for mobile-executed handoff in cellular ATM networks , 1994, IEEE J. Sel. Areas Commun..

[8]  Srikanta P. R. Kumar,et al.  On dynamic channel allocation in cellular/wireless networks , 1992 .

[9]  Leonard J. Cimini,et al.  Single-channel user-capacity calculations for self-organizing cellular systems , 1994, IEEE Trans. Commun..

[10]  Mahmoud Naghshineh,et al.  Design and control of micro-cellular networks with QOS provisioning for real-time traffic , 2002, Proceedings of 1994 3rd IEEE International Conference on Universal Personal Communications.

[11]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[12]  Frank Kelly,et al.  Stochastic Models of Computer Communication Systems , 1985 .

[13]  Donald Ervin Knuth,et al.  The Art of Computer Programming , 1968 .

[14]  Leonard J. Cimini,et al.  Call blocking performance of distributed algorithms for dynamic channel allocation in microcells , 1994, IEEE Trans. Commun..

[15]  R.A. Guerin,et al.  Channel occupancy time distribution in a cellular radio system , 1987, IEEE Transactions on Vehicular Technology.

[16]  Leonard Kleinrock,et al.  Theory, Volume 1, Queueing Systems , 1975 .

[17]  Peter G. Taylor,et al.  Modeling Handovers in Cellular Mobile Networks with Dynamic Channel Allocation , 1995, Oper. Res..

[18]  Scott Jordan,et al.  A performance bound on dynamic channel allocation in cellular systems: equal load , 1994 .

[19]  David Everitt,et al.  Performance analysis of cellular mobile communication systems with dynamic channel assignment , 1989, IEEE J. Sel. Areas Commun..

[20]  Donald Ervin Knuth,et al.  The Art of Computer Programming, 2nd Ed. (Addison-Wesley Series in Computer Science and Information , 1978 .

[21]  Pravin Varaiya,et al.  Throughput in multiple service, multiple resource communication networks , 1991, IEEE Trans. Commun..

[22]  Dimitri P. Bertsekas,et al.  Data Networks , 1986 .