Abstract
A recursive differential equation for the conditional probability of the number of waiting customers is derived for the MwrM|G|1 queue with continuous monitoring of the server state.
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Literature Cited
P. I. Wilkinson, "Theories for toll traffic engineering in the USA," Bell Syst. Tech. J.,35, No. 2, 421–514 (1956).
I. N. Khomichkov, "A model of a local-area network with random multiple access," Avtom. Vychisl. Tekh., No. 1, 58–62 (1987).
G. I. Falin, "Single-server system with retrials," Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 2, 107–114 (1979).
G. I. Falin, "Single-line repeated orders queueing system," Optimization,17, No. 5, 649–667 (1985).
L. I. Lukashuk, "Diffusion approximation and filtering for a queueing system with repeated calls," Kibernetika, No. 2, 84–90 (1990).
Additional information
Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 169–173, July–August, 1991.
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Lukashuk, L.I., Semenchenko, Y.A. Filtering of a semi-Markov queueing system with retrials. Cybern Syst Anal 27, 627–631 (1991). https://doi.org/10.1007/BF01130376
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DOI: https://doi.org/10.1007/BF01130376