Closed-form waiting time approximations for polling systems
β Scribed by M.A.A. Boon; E.M.M. Winands; I.J.B.F. Adan; A.C.C. van Wijk
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 501 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0166-5316
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract This paper derives closedβform solutions for the parameters of a timeβdelay filter designed to be robust to uncertainties in frequencies to be cancelled. It is shown that the slope of the magnitude plot of the two timeβdelay filter is zero at the nominal frequency indicating that it is
## Abstract The determination of steadyβstate characteristics in systems of tandem queues has been left to computer simulation because of the lack of exact solutions in all but the simplest newtorks. In this paper, several methods developed for approximating the average waiting time in singleβserve
A polling system comprising n queues and a single server is considered. Service is performed according to an elevator scheme under the globally gated regime. The problem of arranging the channels to minimize a measure of the variability of the waiting times is addressed.
Based on the quasi-steady-state approximation, a closed form solution for the total time evolution of the reactant concentrations in the basic enzyme-substrate reaction is reported for the first time. Such a solution is given in terms of the omega function, which satisfies the transcendental equatio