Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
A heterogeneous two-server network system with balking and a Bernoulli vacation schedule
Proceedings of the 4th International Conference on Queueing Theory and Network Applications
Boundary value methods for transient solutions of queueing networks with variant vacation policy
Journal of Computational and Applied Mathematics
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In this paper, a Markovian queue with two heterogeneous servers and multiple vacations has been studied. For this system, the stationary queue length distribution and mean system size have been obtained by using matrix geometric method. The busy period analysis of the system and mean waiting time distribution are discussed. Extensive numerical illustrations are provided.