积极管理的队列的离开过程与依赖工作大小的队列.
1Department of Computer Networks and Systems, Silesian University of Technology, Akademicka 16, 44-100 Gliwice, Poland.
Entropy (Basel, Switzerland)
|January 28, 2026
概括
本研究分析了依赖工作大小和积极队列管理的队列系统. 我们提供了数学洞察力,了解不同条件下的离职和拒绝情况.
科学领域:
- 排队理论 排队理论
- 绩效分析 绩效分析
- 计算机网络 计算机网络
背景情况:
- 现实世界排队系统通常在工作大小上表现出随机依赖.
- 积极管理,拒绝服务的概率取决于队列大小,在计算机网络等系统中很常见.
研究的目的:
- 对离职和拒绝流程进行全面的过渡和静止分析.
- 在排队模型中开发关键绩效指标的定理,以依赖工作大小和主动管理.
主要方法:
- 一个排队模型的数学分析,结合了随机的工作大小依赖.
- 在离职和拒绝过程中应用过渡和静止分析技术.
主要成果:
- 对于预期的离职率,离职强度和静止离职率的推导定理.
- 预期的工作拒绝,暂时拒绝强度和固定拒绝率的配方.
- 数字示例说明了工作依赖,拒绝概率和系统负载的影响.
结论:
- 该研究为具有复杂特征的排队系统提供了强大的分析框架.
- 了解离开和拒绝动态对于优化依赖排队系统的性能至关重要.
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