Chiang Mai Journal of Science

We consider a queueing system in which the server does not stop immediately after breakdowns but keeps working for a limited period of time. Many physical real-life situations can be more accurately analyzed by this kind of queueing systems. For example, it can be used to model nonstop forwarding mechanism applied to network equipment, which allows networking applications to continue forwarding their packets even in the event of a network failure. Within the framework of M/M/1 time-limited nonstop forwarding queue, we derive analytically the service availability, the steady-state joint distribution of the system state and the number of customers, and the delay distribution by using probability generating function method. Some numerical examples are also presented to demonstrate the applicability of the queueing systems with nonstop forwarding.