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Service reliability modeling of distributed computing systems with virus epidemics

机译：具有病毒流行的分布式计算系统的服务可靠性建模

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摘要

Distributed computing (DC) system is widely implemented due to its low setup cost and high computational capability. However, it might be vulnerable to malicious attacks like computer virus due to its network structure. The service reliability, defined as the probability of fulfilling a task before a specified time, is an important metric of the quality of a DC system. This paper attempts to model and compute the service reliability for the DC system under virus epidemics. Firstly, the DC system architecture is modeled by an undirected graph whose nodes (i.e. computers) have a continuous-state model representing its computational capability. Then a set of epidemic differential equations are formulated and solved to obtain the state dynamics of each node under the virus epidemics. A universal generating function (UGF) based approach is proposed to calculate the service reliability of DC system. Numerical results show the effectiveness of the proposed method. The sensitivity analysis on the model parameters, the comparison with centralized computing system and the optimization of defense level parameter are also conducted.
机译：分布式计算（DC）系统由于其较低的设置成本和较高的计算能力而得到广泛实施。但是，由于其网络结构，它可能容易受到诸如计算机病毒之类的恶意攻击。服务可靠性（定义为在指定时间之前完成任务的概率）是DC系统质量的重要指标。本文试图在病毒流行时对DC系统的服务可靠性进行建模和计算。首先，DC系统体系结构是通过无向图来建模的，该图的节点（即计算机）具有代表其计算能力的连续状态模型。然后，制定并求解了一组流行病微分方程，以获得病毒流行下每个节点的状态动态。提出了一种基于通用生成函数的方法来计算直流系统的服务可靠性。数值结果表明了该方法的有效性。进行了模型参数的敏感性分析，与集中计算系统的比较以及防御等级参数的优化。

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