Call processing delay analysis in cellular networks: A queuing model approach

Mobile devices, which want to initiate calls, generate call request messages and then send them to a Base station (BS). A BS processes a call request message and then takes a decision of acceptance or rejection for the call. It is important to analyze the total time, which includes the waiting time and the processing time, spent by a call request message in the system. For if, this time is greater than the permissible delay, call will be blocked. Hence, the quality of service is degraded which is not acceptable to the service providers. Further, failures (such as hardware and software failures) and their recovery increase the delay. With this motivation, in this paper, we present queuing models for the analysis of delay experienced by a call request message for two cases: first, services of BS are not interrupted and second, services are interrupted due to the occurrence of failures at the BS. In the end, we discuss special cases of proposed queuing models for particular distributions of the processing times.