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On mean-field (GI/GI/1) queueing model: existence and uniqueness
Queueing Systems ( IF 0.7 ) Pub Date : 2019-09-04 , DOI: 10.1007/s11134-019-09626-x
A. Yu. Veretennikov

Conditions for positive and polynomial recurrence have been proposed for a class of reliability models of two elements with transitions from working state to failure and back. As a consequence, uniqueness of stationary distribution of the model is proved; the rate of convergence towards this distribution may be theoretically evaluated on the basis of the established recurrence.

中文翻译:

平均场 (GI/GI/1) 排队模型:存在性和唯一性

已经为一类具有从工作状态到故障再返回的转换的两个元素的可靠性模型提出了正和多项式递归的条件。从而证明了模型平稳分布的唯一性;可以在已确定的递归的基础上在理论上评估向该分布收敛的速率。
更新日期:2019-09-04
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