In this paper a very accurate approximation method is developed, that leads to explicit expressions for the loss probability of the M/G/1/K and GI/M/1/K queues. The results can also be generalized to the corresponding discrete-time queueing models, i.e. the Geo/G/1/K and GI/Geo/1/K queues. The approximations obtained by this method are asymptotically correct as the buffer size increases. Moreover, they can be inverted, thus allowing a very effective buffer dimensioning to be done. © 1993.
Accurate formulae for the loss probability of a large class of queueing systems / Baiocchi, Andrea. - In: PERFORMANCE EVALUATION. - ISSN 0166-5316. - 18:(1993), pp. 125-132. [10.1016/0166-5316(93)90032-P]
Accurate formulae for the loss probability of a large class of queueing systems
BAIOCCHI, Andrea
1993
Abstract
In this paper a very accurate approximation method is developed, that leads to explicit expressions for the loss probability of the M/G/1/K and GI/M/1/K queues. The results can also be generalized to the corresponding discrete-time queueing models, i.e. the Geo/G/1/K and GI/Geo/1/K queues. The approximations obtained by this method are asymptotically correct as the buffer size increases. Moreover, they can be inverted, thus allowing a very effective buffer dimensioning to be done. © 1993.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
