@article{oai:nagasaki-u.repo.nii.ac.jp:00013386,
 author = {Kobayashi, Kazutomo and Takahashi, Yukio and Takada, Hiroyuki},
 issue = {5},
 journal = {IEICE Transactions on Communications},
 month = {May},
 note = {Admission control is a procedure to guarantee a given level of Quality of Service (QoS) by accepting or rejecting arrival connection requests. There are many studies on backlog or loss rate evaluation formulas for admission control at a single node. However, there are few studies on end-to-end evaluation formulas suitable for admission control. In a previous paper, the authors proposed a new stochastic network calculus for many flows using an approach taken from large deviations techniques and obtained asymptotic end-to-end evaluation formulas for output burstiness and backlog. In this paper, we apply this stochastic network calculus to a heterogeneous tandem network with many forwarding flows and cross traffic flows constrained by leaky buckets, and obtain a simple evaluation formula for the end-to-end backlog. In this formula, the end-to-end backlog can be evaluated by the traffic load at the bottle neck node. This result leads us to a natural extension of the evaluation formula for a single node., IEICE Transactions on Communications, E94-B(5), pp.1288-1294; 2011},
 pages = {1288--1294},
 title = {A Backlog Evaluation Formula for Admission Control Based on the Stochastic Network Calculus with Many Flows},
 volume = {E94-B},
 year = {2011}
}