Three-phase queueing servicing system with renewable servers
Abstract A three-phase queueing servicing system is considered in this paper. The servers can fail during their occupation time. A failed server is sent to be repaired immediately. The stationary probabilities of the different states of the system are studied under the assumption that the arrival time, service time, failure time and repair time of the servers all have a Poisson distribution with diferent parameters. Also the mathematical expectation of the number of customers in each phase is obtained. Finally, the results in Mokaddis et al., Ninth International Congress for Statistics, Computer Science, Social and Demographic Research , Ain Shams University, 31 March–10 April, 1984, are obtained as special cases from the results in this paper.