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http://dx.doi.org/10.5351/KJAS.2007.20.2.333

The Approximation for the Auxiliary Renewal Function  

Bae, Jong-Ho (Department of Information Statistics, Chungnam National University)
Kim, Sung-Gon (Department of Information Statistics, Gyeongsang National University)
Publication Information
The Korean Journal of Applied Statistics / v.20, no.2, 2007 , pp. 333-343 More about this Journal
Abstract
The auxiliary renewal function has an important role in analyzng queues in which the either of the inter-arrival time and the service time of customers is not exponential. As like the renewal function, the auxiliary renewal function is hard to compute although it can be defined theoretically. In this paper, we suggest two approximations for auxiliary renewal function and compare the two with the true value of auxiliary renewal function which can be computed in some special cases.
Keywords
Auxiliary renewal function; approximation; queue; waiting time of customers;
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