Abstract
In this paper, we study the process generated by the customers which are serviced in a queueing system with an infinite number of servers. Two methods referred to as the method of limiting decomposition and the method of Markovian summation are proposed, implemented and compared. The characteristic function of the probability distribution for the studied process is obtained. The numerical examples are performed for different values of queueing system characteristics.
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Nazarov, A., Dammer, D. (2018). Methods of Limiting Decomposition and Markovian Summation in Queueing System with Infinite Number of Servers. In: Dudin, A., Nazarov, A., Moiseev, A. (eds) Information Technologies and Mathematical Modelling. Queueing Theory and Applications. ITMM WRQ 2018 2018. Communications in Computer and Information Science, vol 912. Springer, Cham. https://doi.org/10.1007/978-3-319-97595-5_6
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DOI: https://doi.org/10.1007/978-3-319-97595-5_6
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