Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
On evaluation of the mean service cycle time in tandem queueing systems. / Krivulin, N. K.; Nevzorov, V. B.
Applied Statistical Science V. ред. / M. Ahsanullah; J. Kennyon; S. K. Sarkar. Nova Science Publishers, Inc., 2001. стр. 145-155.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › глава/раздел › научная › Рецензирование
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TY - CHAP
T1 - On evaluation of the mean service cycle time in tandem queueing systems
AU - Krivulin, N. K.
AU - Nevzorov, V. B.
PY - 2001
Y1 - 2001
N2 - The problem of exact evaluation of the mean service cycle time in tandem systems of single-server queues with both infinite and finite buffers is considered. It is assumed that the interarrival and service times of customers form sequences of independent and identically distributed random variables with known mean values. We start with tandem queues with infinite buffers, and show that under the above assumptions, the mean cycle time exists. Furthermore, if the random variables which represent interarrival and service times have finite variance, the mean cycle time can be calculated as the maximum out from the mean values of these variables. Finally, obtained results are extended to evaluation of the mean cycle time in particular tandem systems with finite buffers and blocking.
AB - The problem of exact evaluation of the mean service cycle time in tandem systems of single-server queues with both infinite and finite buffers is considered. It is assumed that the interarrival and service times of customers form sequences of independent and identically distributed random variables with known mean values. We start with tandem queues with infinite buffers, and show that under the above assumptions, the mean cycle time exists. Furthermore, if the random variables which represent interarrival and service times have finite variance, the mean cycle time can be calculated as the maximum out from the mean values of these variables. Finally, obtained results are extended to evaluation of the mean cycle time in particular tandem systems with finite buffers and blocking.
KW - tandem queueing systems
KW - mean cycle time
KW - recursive equations
KW - independent random variables
KW - bounds on the mean value
M3 - Chapter
SN - 1-56072-923-6
SP - 145
EP - 155
BT - Applied Statistical Science V
A2 - Ahsanullah, M.
A2 - Kennyon, J.
A2 - Sarkar, S. K.
PB - Nova Science Publishers, Inc.
ER -
ID: 4409463