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titleType: Subtitle
title: Investigation of priority queueing systems with randomized push-out mechanism and unreliable service channel
Creators: name: ÐÐµÑÐºÐ°ÑÐµÐ½ÐºÐ¾, ÐÐ½Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: Ð°Ð±ÑÐ¾Ð»ÑÑÐ½ÑÐ¹ Ð¿ÑÐ¸Ð¾ÑÐ¸ÑÐµÑ
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ÐºÐ°ÑÐ°ÑÑÑÐ¾ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¾ÑÐºÐ°Ð·Ñ
absolute priority
randomized push-out mechanism
unreliable service channel
generating function
disasters

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description: The subject of the graduate qualification work is Â«Investigation of priority queueingsystems with randomized push-out mechanism and unreliable service channelÂ». In the given work we study a two-stream queueing system of finite capacitywith absolute priority, a randomized push-out mechanism and an unreliable servicechannel. The following cases of disasters of the system are considered: failure is possiblefrom all states of the system with the same intensity, failure is possible from all states,except for the idle state, or in the idle state the system fails with a different intensity. The method of generating functions modified by A.S. Ilyashenko was used to studythe system. Using this method, marginal generating functions were obtained for thenumber of high-priority and low-priority requirements, as well as for the total numberof requirements, and the final probabilities for the system states were found. On thebasis of theoretical results, the dependences of the loss probabilities of both types ofrequirements and the probability of system failure on the probability of pushing out,storage capacity, load factors and reliability parameters were studied. All dependencesare illustrated by numerical examples.