Availability Analysis of the Software Rejuvenation System with Impulse Control

Huo, Huixia; Win, Thet Thet; Xu, Houbao

doi:10.1109/ccdc.2019.8833116

Search citation statements

Order By: Relevance

Paper Sections

Select...

Lemma 3 the Instantaneous Availability A(t) Of System (3) Is1

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2021

2022

Publication Types

Select...

Article2

Relationship

Self Cite1

Independent1

Authors

Journals

Cited by 2 publications

(2 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Proof. Based on (21) and the upper and lower bounds of impulsive intervals method [42], we derive the instantaneous availability A 1 (t) and A 2 (t) of system (3) by…”

Section: Lemma 3 the Instantaneous Availability A(t) Of System (3) Ismentioning

confidence: 99%

See 1 more Smart Citation

Dynamic Analysis of Software Systems with Aperiodic Impulse Rejuvenation

Huo

Chen

2022

Mathematics

Self Cite

View full text Add to dashboard Cite

This paper aims to obtain the dynamical solution and instantaneous availability of software systems with aperiodic impulse rejuvenation. Firstly, we formulate the generic system with a group of coupled impulsive differential equations and transform it into an abstract Cauchy problem. Then we adopt a difference scheme and establish the convergence of this scheme by applying the Trotter–Kato theorem to obtain the system’s dynamical solution. Moreover, the instantaneous availability as an important evaluation index for software systems is derived, and its range is also estimated. At last, numerical examples are shown to illustrate the validity of theoretical results.

show abstract

“…Proof. Based on (21) and the upper and lower bounds of impulsive intervals method [42], we derive the instantaneous availability A 1 (t) and A 2 (t) of system (3) by…”

Section: Lemma 3 the Instantaneous Availability A(t) Of System (3) Ismentioning

confidence: 99%

“…Zeng [20] proved the existence of multiple periodic solutions for n-dimensional functional differential equations with impulses. Huo et al [21] analyzed the relationships between system availability and impulsive indexes to improve the availability of a software rejuvenation system with periodic impulses.…”

Section: Introductionmentioning

confidence: 99%