Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach | Zendy

V. V. Singh | Zendy; Abdul Kareem Lado Ismail | Zendy; İbrahim Yusuf | Zendy; Ameer Hassan Abdullahi | Zendy

Open Access

Probabilistic Assessment of Computer-Based Test (CBT) Network System Consists of Four Subsystems in Series Configuration Using Copula Linguistic Approach

Author(s) -

V. V. Singh,

Abdul Kareem Lado Ismail,

İbrahim Yusuf,

Ameer Hassan Abdullahi

Publication year - 2021

Publication title -

journal of reliability and statistical studies

Language(s) - English

Resource type - Journals

eISSN - 2229-5666

pISSN - 0974-8024

DOI - 10.13052/jrss0974-8024.132410

Subject(s) - copula (linguistics) , mean time between failures , reliability engineering , server , computer science , probabilistic logic , laplace transform , reliability (semiconductor) , reliability block diagram , series and parallel circuits , distributed computing , fault tree analysis , artificial intelligence , failure rate , engineering , mathematics , operating system , mathematical analysis , power (physics) , physics , quantum mechanics , econometrics , electrical engineering , voltage

A complex repairable computer-based test (CBT) network system studied in this paper consists of three client computers, a load balancer, two database servers, with the centralized server structured in a series configuration. Subsystem 1 consists of three homogeneous clients arranged in parallel configuration, subsystem 2 comprises a load balancer, subsystem 3 is comprised of two distributed homogeneous database servers in parallel arrangement and subsystem 4 consists of a centralized database server. Through the transition diagram, the first-order differential equations are derived. The model has solved using supplementary variables, with implications of Laplace transforms. Reliability metrics of system effects such as availability, reliability, MTTF, MTTF sensitivity, and the cost function is estimated to see the impact of failure and repair patterns on reliability evaluations. The results of this study indicated that system performance could be improved when the copula repair is employed.

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