Dependency of service time on waiting time in switching systems. A queueing analysis with aspects of overload control

Performance degradation of switching systems when the load increases above the engineered load can be caused by system-dependent and customer-dependent factors. In this paper the dependency of the service time and the call completion rate on the waiting time of a customer is investigated. The problem is modeled by means of a queueing system of type M super((X))/G/1, where state-dependent batch size distributions are considered. Two analysis methods, the continuous Markov chain approach and the regenerative method, are used for Markovian and generally distributed service phases, respectively.