On moments of waiting times in priority queues of $Mr|Gr|1|\infty$ type in heavy traffic
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (1985), pp. 13-20
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In the $Mr|Gr|1|\infty$ model with disciplines of absolute and relative priorities and disciplines FIFO, LIFO, RS accepted within each thread for stationary waiting times under critical load conditions, the asymptotics of moments of integer orders.
[1] B. V. Gnedenko, E. A. Danielyan, B. N. Dimitrov i dr., Prioritetnye sistemy massovogo obsluzhivaniya, MGU, M., 1973, 448 pp.
[2] E. A. Danielyan, Matematicheskaya teoriya prioritetnykh modelei $Mr|Gr|1|\infty$, Dissert. na soisk. uch. step, doktora fiz.-mat. nauk, MGU, M., 1981
[3] Dzh. Riordan, Vvedenie v kombinatornyi analiz, Izd-vo inostr. lit., M., 1963 | MR | Zbl
[4] E. A. Danielyan, “K asimptotike perioda zanyatosti i vremeni ozhidaniya prioritetnykh sistem $M_r|G_r|1|\infty$ pri kriticheskoi zagruzke”, Izv. AN Arm. SSR. Matematika, 10:3 (1975), 272–287 | MR | Zbl