Analysis of polling systems
Queueing systems with vacations—a survey
Queueing Systems: Theory and Applications
Dominance relations in polling systems
Queueing Systems: Theory and Applications
Role of oxidizer in the chemical mechanical planarization of the Ti/TiN barrier layer
Microelectronic Engineering
Analysis of Queueing Systems with Synchronous Single Vacation for Some Servers
Queueing Systems: Theory and Applications
Vacation Queueing Models: Theory and Applications (International Series in Operations Research & Management Science)
Analysis of periodically gated vacation model and its application to IEEE 802.16 network
ASMTA'12 Proceedings of the 19th international conference on Analytical and Stochastic Modeling Techniques and Applications
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In this paper we present the analysis of an M/M/c multiple synchronous vacation model. In contrast to the previous works on synchronous vacation model we consider the model with gated service discipline and with independent and identically distributed vacation periods. The analysis of this model requires different methodology compared to those ones used for synchronous vacation model so far. The main results are the mean and the probability-generating function of the stationary number of customers at an arbitrary epoch. Numerical examples are also provided to illustrate the solution of the model. This vacation queue is suitable to model a single operator controlled system consisting of more machines. Hence the provided analysis can be applied to study and optimize such systems.