Adaptive Cutoff Priority for Multiple Server System with Two Kinds of Arrival Streams

Tatsuya TANIAI  Iwao SASASE  Sinsaku MORI  

IEICE TRANSACTIONS (1976-1990)   Vol.E73   No.10   pp.1688-1695
Publication Date: 1990/10/25
Online ISSN: 
Print ISSN: 0000-0000
Type of Manuscript: Special Section PAPER (Special Issue on Communication Theory and Its Applications)
Category: Transport System

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In this paper, we propose the adaptive cutoff priority for a multiple server finite-capacity buffer system with two kinds of arrival streams to reduce loss probabilities of both kinds of arrivals. The number of reserved" servers for high priority customers is adaptively decreased by using the adaptive cutoff priority, when the number of waiting customers of low priority is increased. We first derive the state probabilities which are the function of both the number of customers in the queue and the number of customers in service, so that it is possible to present general expressions for the loss probability and the average queueing time. Next, the numerical calculation is carried out and it is found that not only the loss probability of each arrival but slso the total loss probability are reduced by using more than two thresholds and selecting the treshold values appropriately. It is shown that the computer simulated results agree with the theoretical results.