Some limit theorems for a single-channel system the intensity of serving which depends on the queue length

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/235064

Title: Some limit theorems for a single-channel system the intensity of serving which depends on the queue length
Author(s): Abramov, Vyacheslav M.
Abstract: An examination is made of a queueing system M | G | 1 with waiting and with servicing intensity dependent on the state of the system in the following way: if just before the beginning of servicing of one order the number of orders in the system does not exceer n (where n > 1), the distribution function of the duration of servicing of the order is B//1(X) and if not it it B//2(X). Limit theorems are obtained for certain characteristics of the system in the case of various changes of its parameters.
Publication type: Journal article
Source: Engineering Cybernetics (now Journal of Computer and System Sciences International), Vol. 19, no. 5 (1981), pp. 44-48
Publication year: 1981
FOR Code(s): 0806 Information Systems
Keyword(s): Probability; Queue length; Queueing theory
Publisher: MAIK Nauka/Interperiodica
Language: Russian
ISSN: 0013-788X
Publisher URL: http://www.maik.rssi.ru/
Peer reviewed