Conditional busy and free queue systems with variable servers' number

Authors:
A. Surkov
Affiliations:
Sankt-Petersburg University, Sankt-Petersburg, Russia
Venue:
MATH'05 Proceedings of the 8th WSEAS International Conference on Applied Mathematics
Year:
2005

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Abstract

This article is an attempt to investigate stationary queuing systems with variable servers' number. Servers' quantity here is determined with stochastic variable. Some formulae are received for stationary state probabilities, carried load, queue mean and variance for conditional busy and free (without and with idle servers respectively) M/M/v system. The results are compared with well known ones for M/M/s systems using deterministic probability as server distribution.