Abstract
We consider a discrete time queueing system where the service of a customer may start at the moment of arrival or at moments differing from it by the multiples of a given cycle time. One finds the distribution of waiting time and its mean value. These results give possibility for the numerical optimization of cycle length. The original model was raised in connection with the landing process of airplanes, but it appears to be an exact model to describe the functioning of a node at the transmission of optical signals.
The author ‘L. Lakatos’ was supported by the TAMOP-4.2.2.C-11/1/KONV-2012-0001 project. The project has been supported by the European Union, co-financed by the European Social Fund.
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Lakatos, L., Efrosinin, D. (2014). A Discrete Waiting Time Model for Optical Signals. In: Vishnevsky, V., Kozyrev, D., Larionov, A. (eds) Distributed Computer and Communication Networks. DCCN 2013. Communications in Computer and Information Science, vol 279. Springer, Cham. https://doi.org/10.1007/978-3-319-05209-0_10
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DOI: https://doi.org/10.1007/978-3-319-05209-0_10
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