优先权下大型交互对抗服务网络的稳定性研究

发布时间：2018-05-29 10:48

  本文选题：交互对抗服务网络 + 优先权　； 参考：《工程数学学报》2017年05期

【摘要】：近年来,物联网、大数据与云计算为各种大型服务系统及其资源管理与任务调度提供了新的信息技术,也导致了这些服务系统中出现了大范围、松耦合、跨组织与异构性等多种关键特征.为了研究这些大型服务系统,交互对抗网络(Adversarial Networks)以其简便的确定性假设与直观的稳定性评估等优点而成为国际上一个热点且重要的研究方向.本文首先分析了一个具有优先权的环形交互对抗服务网络,并通过数学建模提出了一种确定性上界估计方法,由此讨论了这种网络的系统稳定性问题.然后,研究了系统性能指标并且给出了任意一个顾客在网络中运行时间的一个上界.最后,通过数值算例研究了网络中两类顾客总数的上界以及它们在网络中运行时间的上界是如何依赖网络中的一些关键参数.
[Abstract]:In recent years, the Internet of things, big data and cloud computing have provided new information technology for various large-scale service systems and their resource management and task scheduling. Cross-organization and heterogeneity and other key features. In order to study these large service systems, Interactive confrontation Networks (IPN) has become a hot and important research field in the world because of its simple deterministic assumption and intuitive stability evaluation. In this paper, we first analyze a ring interactive countermeasure service network with priority, and propose a deterministic upper bound estimation method through mathematical modeling, and discuss the system stability of this network. Then, the performance index of the system is studied and an upper bound of the running time of any customer in the network is given. Finally, a numerical example is given to study the upper bound of the total number of customers in the network and how the upper bound of their running time in the network depends on some key parameters in the network.
【作者单位】： 燕山大学经济管理学院;
【基金】：国家自然科学基金(71271187;71471160;71671158) 河北省自然科学基金(G2017203277) 河北省高等学校创新团队领军人才培育计划(LJRC027)~~
【分类号】：O226
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本文编号：1950600