Modelling and dynamic behaviour analysis of the software rejuvenation system with periodic impulse

IF 1.8 4区数学 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Mathematical and Computer Modelling of Dynamical Systems Pub Date : 2021-01-02 DOI:10.1080/13873954.2021.1986074

Huixia Huo, Houbao Xu, Zhuoqian Chen

引用次数: 2

Abstract

ABSTRACT Software rejuvenation is a policy to counter the phenomenon of software ageing. However, how to implement software rejuvenation is still an important issue. In this paper, periodic impulse control is proposed as an effective tool to perform software rejuvenation and improve the availability of software system. First, we formulate the software rejuvenation system with periodic impulse by a group of coupled differential equations with impulsive action. Then the well-posedness of the system is demonstrated by using operator semigroup theory. At the end of the paper, numerical examples are shown to illustrate the dynamic behaviour of the system and the relationship between the system instantaneous availability and the impulsive indexes, including impulse interval and impulse strength, which yields that the system availability can be improved by adjusting the impulsive indexes.

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具有周期脉冲的软件返青系统建模与动态特性分析

软件复兴是一项对抗软件老化现象的政策。然而，如何实现软件复兴仍然是一个重要的问题。本文提出了周期脉冲控制作为实现软件再生和提高软件系统可用性的有效工具。首先，利用一组具有脉冲作用的耦合微分方程，建立了具有周期脉冲的软件返青系统。然后利用算子半群理论证明了系统的适定性。最后通过数值算例说明了系统的动态特性，以及系统瞬时可用性与脉冲间隔、脉冲强度等脉冲指标之间的关系，说明了通过调整脉冲指标可以提高系统的可用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematical and Computer Modelling of Dynamical Systems 数学-计算机：跨学科应用

CiteScore

3.80

自引率

5.30%

发文量

审稿时长

>12 weeks

期刊介绍： Mathematical and Computer Modelling of Dynamical Systems (MCMDS) publishes high quality international research that presents new ideas and approaches in the derivation, simplification, and validation of models and sub-models of relevance to complex (real-world) dynamical systems. The journal brings together engineers and scientists working in different areas of application and/or theory where researchers can learn about recent developments across engineering, environmental systems, and biotechnology amongst other fields. As MCMDS covers a wide range of application areas, papers aim to be accessible to readers who are not necessarily experts in the specific area of application. MCMDS welcomes original articles on a range of topics including: -methods of modelling and simulation- automation of modelling- qualitative and modular modelling- data-based and learning-based modelling- uncertainties and the effects of modelling errors on system performance- application of modelling to complex real-world systems.