COMPUTATION OF THE STATIONARY DISTRIBUTION FOR THE NUMBER OF DEMANDS SERVICED |
| 3 | |
| 2011 |
| scientific article | 519.21 | ||
| 47-54 | Bartlett flow, Gnedenko-Kovalenko flow, conflict flows, cyclic service, output flow, nonlocal description, stationary probability distribution, cybernetic approach |
| Output flows of a cyclic-service queueing system are investigated. Nonlocal description of the output flow gives rise to a Markov chain with a special structure transition matrix. The known method [1-3] is used to obtain the stationary distribution for this chain. Recurrence relations to calculate the stationary joint probability distribution of the queue length and the number of demands serviced are presented together with some numerical examples for different types of input flows. |
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