Abstract
In this contribution we investigate higher-order loss characteristics for M/G/1/N queueing systems. We focus on the lengths of the loss and non-loss periods as well as on the number of arrivals during these periods. For the analysis, we extend the Markovian state of the queueing system with the time and number of admitted arrivals since the instant where the last loss occurred. By combining transform and matrix techniques, expressions for the various moments of these loss characteristics are found. The approach also yields expressions for the loss probability and the conditional loss probability. Some numerical examples then illustrate our results.
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Fiems, D., De Vuyst, S., Wittevrongel, S. et al. Packet loss characteristics for M/G/1/N queueing systems. Ann Oper Res 170, 113–131 (2009). https://doi.org/10.1007/s10479-008-0436-9
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DOI: https://doi.org/10.1007/s10479-008-0436-9