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In this paper, we consider an M/M/1 vacation queueing system in which m different kinds of working vacations may be taken as soon as the system is empty. When parameters… Click to show full abstract
In this paper, we consider an M/M/1 vacation queueing system in which m different kinds of working vacations may be taken as soon as the system is empty. When parameters take proper different values, our model reduces to several classical models already studied in references. By quasi birth and death process and generalized eigenvalues method, we give the distributions for the number of customers and sojourn time in the system. Furthermore, we also give the stochastic decomposition results of such stationary indices.
Keywords:
kinds differentiated;
system;
queue kinds;
working vacations;
differentiated working
Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017
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Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!