STABILITY OF A CYCLIC POLLING SYSTEM WITH AN ADAPTIVE MECHANISM

被引:2
作者
Kim, Jeongsim [1 ]
Kim, Bara [2 ]
机构
[1] Chungbuk Natl Univ, Dept Math Educ, Cheongju 361763, Chungbuk, South Korea
[2] Korea Univ, Dept Math, Seoul 136701, South Korea
基金
新加坡国家研究基金会;
关键词
Polling system; adaptive mechanism; stability; fluid model; MULTICLASS QUEUING-NETWORKS; FLUID LIMIT MODELS; SERVICE;
D O I
10.3934/jimo.2015.11.763
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider a single server cyclic polling system with multiple infinite-buffer queues where the server follows an adaptive mechanism: if a queue is empty at its polling moment the server will skip this queue in the next cycle. After being skipped, a queue is always visited in the next cycle. The service discipline in each queue is 1-limited. Using the fluid limit approach, we find the necessary and sufficient condition for the stability of such polling system.
引用
收藏
页码:763 / 777
页数:15
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