中文摘要：

组密钥更新是大规模动态群组安全尤其是互联网多播安全中的关键问题，批量密钥更新是高性能群组安全机制中的一个发展方向．研究批量密钥服务的排队模型，给出了问题的描述、批量服务的分类、模型，对其中的部分模型给出了稳态解，其结论对于批量密钥服务系统的设计具有理论指导意义．

英文摘要：

Group rekeying is essential for large dynamic group security, especially for Internet muhicast security, and batch rekeying is a focus among the high performance group security mechanism. In this paper, the queuing model with batch rekeying service is investigated and analyzed, and the modeling, classification of queuing model with batch service, and steady state solution for some models are given. The results of modeling can be a theoretical guide for group security system with batch rekeying service.