Queueing model and performance analysis for discrete time Switch Virtual Channels systems

In this paper, we establish a discrete time Geom/G/1 queue with setup-close delay-close down based on operation mechanisms with Switch Virtual Channels (SVC). Different from conventional intricate and time consuming imbedded Markov renewal processes, we use the factorization principle of discrete time. queues with general vacation to analyze the response time, connection establishment ratio, operating efficiency and idle ratio of SVCs. Furthermore, we confirm. the dependency relationships between these performance measures and the close delay timer's setting, which have potential applications in system optimal design and network control.