Request-loss queueing system with blockable server for doubled connections

摘要

A single-queue request-loss queueing system with repeated calls, blockable device (server), and doubled connections is considered. A necessary and sufficient condition for the existence of a stationary probability distribution of the number of requests in the system is obtained for an arbitrary form of the distributions of the lengths of servicing and blocking. The generating functions of the joint distribution of the number of requests in the system and the states of the device are obtained for the case of a Markov system.