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Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2017, Issue 1, Pages 61–69
(Mi ulsu129)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematical and computer model of multi-server queuing system with preemptive-resume priority in service
Yu. G. Savinov, A. A. Churova Ulyanovsk State University
Abstract:
The paper presents a mathematical and computer model of multi-server queuing system with preemptive-resume priority in service in terms of point processes and their compensators. The analysis of the complexity of the graph of states in the Markov description of the queuing system is carried out. The advantage of a semimartingale description over a Markovian is demonstrated. In contrast to the Markov description, the model in semimartingale terms allows to model the queuing system for any reasonable number of serving devices, without increasing the complexity of both the mathematical and computer models.
Keywords:
preemptive priority, queuing system, point process, compensator.
Received: 09.06.2017 Revised: 23.09.2017
Citation:
Yu. G. Savinov, A. A. Churova, “Mathematical and computer model of multi-server queuing system with preemptive-resume priority in service”, Uchenyye zapiski UlGU. Seriya “Matematika i informatsionnyye tekhnologii”, 2017, no. 1, 61–69
Linking options:
https://www.mathnet.ru/eng/ulsu129 https://www.mathnet.ru/eng/ulsu/y2017/i1/p61
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Abstract page: | 33 | Full-text PDF : | 6 | References: | 9 |
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