A simple telephone exchange with delayed feedbacks
Proc. of the international seminar on Teletraffic analysis and computer performance evaluation
Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Retrial queues with server subject to breakdown and repairs
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Analysis of an M/G/1 queue with constant repeated attempts and server vacations
Computers and Operations Research
On the stability of retrial queues
Queueing Systems: Theory and Applications
Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs
Queueing Systems: Theory and Applications
Vacation Queueing Models: Theory and Applications (International Series in Operations Research & Management Science)
Network routing control with G-networks
Performance Evaluation
An initiative for a classified bibliography on G-networks
Performance Evaluation
Accessible bibliography on retrial queues
Mathematical and Computer Modelling: An International Journal
Bibliography on G-networks, negative customers and applications
Mathematical and Computer Modelling: An International Journal
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This paper deals with an M/G/1 retrial queue with negative customers and non-exhaustive random vacations subject to the server breakdowns and repairs. Arrivals of both positive customers and negative customers are two independent Poisson processes. A breakdown at the busy server is represented by the arrival of a negative customer which causes the customer being in service to be lost. The server takes a vacation of random length after an exponential time when the server is up. We develop a new method to discuss the stable condition by finding absorb distribution and using the stable condition of a classical M/G/1 queue. By applying the supplementary variable method, we obtain the steady-state solutions for both queueing measures and reliability quantities. Moreover, we investigate the stochastic decomposition law. We also analyse the busy period of the system. Some special cases of interest are discussed and some known results have been derived. Finally, an application to cellular mobile networks is provided and the effects of various parameters on the system performance are analysed numerically.