Published Paper Details:

The present literature of queueing theory is restricted to the �only� queue to a service counter.It does not focus on the queues formed when the service counter has no service to offer to the customers after some time. Moreover the services are such that they can be surrendered to the service counter by the customers after using it for some finite period of time. Here queueing systems have two different queues namely a �primary queue� and a �secondary queue�. The existence of secondary queue is possible only when service counter has limited service and the system has a characteristic of �Service surrender facility�. This paper contains analysis of secondary queues where a model with finite range of service holding time and incomplete range ( truncation at both the ends) of probability of service surrender is considered. The expected waiting time of a customer in the entire queueing system and service wastage rate are derived in this paper.