Performability Modelling of Handoff in Wireless Cellular Networks and the Exact Solution of System Models with Service Rates Dependent on Numbers of Originating and Handoff Calls

Mobility is one of the major issues in the performance characterization of wireless communication systems. Various approaches exist in the literature for performance evaluation of mobile systems, especially the handoff phenomenon. However, since the probability of an ongoing call being dropped due to a handoff failure and the probability of a new call being blocked due to the temporary unavailability of an idle channel are main metrics that affect the performance of wireless cellular systems, it is essential to consider these systems for performability evaluation. In this paper, wireless cellular networks with failures and recovery are modelled. The service rates provided in each operative state are dependent on the number of originating calls as well as handoff calls coming from the neighbouring cells. The spectral expansion solution method together with an approach to handle the job dependent service rates is used. The numerical results are presented comparatively to validate the approximate approach presented previously.

[1]  Sem C. Borst,et al.  Queues with Workload-Dependent Arrival and Service Rates , 2004, Queueing Syst. Theory Appl..

[2]  Ram Chakka,et al.  Spectral expansion solution for some finite capacity queues , 1998, Ann. Oper. Res..

[3]  Yonal Kirsal,et al.  Performability Modelling of Handoff in Wireless Cellular Networks with Channel Failures and Recovery , 2009, 2009 11th International Conference on Computer Modelling and Simulation.

[4]  Dharma P. Agrawal,et al.  Modeling of handoffs and performance analysis of wireless data networks , 2001, Proceedings International Conference on Parallel Processing Workshops.

[5]  Anurag Kumar,et al.  Performance analysis of microcellisation with channel reservation, for supporting two mobility classes in cellular wireless networks , 1997, 1997 IEEE International Conference on Personal Wireless Communications (Cat. No.97TH8338).

[6]  S. Tekinay,et al.  Handover and channel assignment in mobile cellular networks , 1991, IEEE Communications Magazine.

[7]  Enver Ever,et al.  Numerical solution to the performability of a multiprocessor system with reconfiguration and rebooting delays. , 2005 .

[8]  Sem Borst,et al.  OPTIMAL ADMISSION CONTROL IN QUEUES WITH WORKLOAD-DEPENDENT SERVICE RATES , 2006, Probability in the Engineering and Informational Sciences.

[9]  Yi-Bing Lin,et al.  Handover arrangement for a PCS network , 1997, IEEE Wirel. Commun..

[10]  Kishor S. Trivedi,et al.  Analytic modeling of handoffs in wireless cellular networks , 2002, Inf. Sci..

[11]  Kishor S. Trivedi,et al.  Performance Analysis of Cellular Networks with Generally Distributed Handoff Interarrival Times , .

[12]  Kishor S. Trivedi,et al.  Composite performance and availability analysis of wireless communication networks , 2001, IEEE Trans. Veh. Technol..

[13]  Satish K. Tripathi,et al.  A New Adaptive Channel Reservation Scheme for Handoff Calls in Wireless Cellular Networks , 2002, NETWORKING.

[14]  Kaiji Mukumoto,et al.  Performance analysis of mobile cellular radio system with priority reservation handoff procedures , 1994, Proceedings of IEEE Vehicular Technology Conference (VTC).

[15]  Kishor S. Trivedi,et al.  Performability analysis of channel allocation with channel recovery strategy in cellular networks , 1998, ICUPC '98. IEEE 1998 International Conference on Universal Personal Communications. Conference Proceedings (Cat. No.98TH8384).