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
The M/G/1 retrial queue with Bernoulli schedule
Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs
Queueing Systems: Theory and Applications
Computers & Mathematics with Applications
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
Accessible bibliography on retrial queues: Progress in 2000-2009
Mathematical and Computer Modelling: An International Journal
Retrial queuing system with Markovian arrival flow and phase-type service time distribution
Computers and Industrial Engineering
Hi-index | 0.00 |
We consider an M/G/1 retrial queue with negative customers and priority under Bernoulli vacation schedule subject to the server breakdowns and repairs. Arrivals of both positive customers and negative customers are two independent Poisson processes. Positive customers receive service immediately if the server is idle upon their arrivals. Otherwise, they may either with probability p join the priority queue or with complementary probability p@? enter a retrial orbit. A breakdown at the busy server is represented by the arrival of a negative customer which causes the the customer being in service to be lost. The server takes Bernoulli vacation after a service or a repair completion. It is assumed that the server has arbitrary repair time and vacation time distributions. With the help of Lyapunov functions we have obtained the necessary and sufficient condition for ergodicity of embedded Markov chain. By applying the supplementary variables method, we obtain the steady-state solutions for both queueing measures and reliability quantities. Moreover, we investigate the stochastic decomposition law. Besides, some special cases of interest are discussed. Finally, the effects of various parameters on the system performance are analyzed numerically.