Availability and reliability analysis for a reverse osmosis (RO) system with trivariate Weibull distribution

被引：0

作者：

Maihulla A.S. ^{[1
,2
,3
]}

Yusuf I. ^{[2
,3
]}

Khoo M.B.C. ^{[4
]}

机构：

[1] Department of Mathematics, Sokoto State University, Sokoto

[2] Department of Mathematical Sciences, Bayero University, Kano

[3] Operation Research Group, Bayero University, Kano

[4] School of Mathematical Sciences, Universiti Sains Malaysia, Penang

来源：

Life Cycle Reliability and Safety Engineering | 2024年 / 13卷 / 2期

关键词：

Availability; Markov models; Mnemonic; Reverse osmosis; Weibull distribution;

D O I：

10.1007/s41872-024-00250-0

中图分类号：

学科分类号：

摘要：

We analyse a reverse osmosis (RO) system that consists of three parts: a pre-treatment subsystem, high pressure pump, and RO membrane, as shown in the schematic picture of the system (Fig. 1), followed by being converted into the transition diagram (Fig. 2). The subsystems were set up in a succession, making it possible for the failure of one to affect the entire system. It is expected that the units will fail and need to be repaired according to the 2-parameter Weibull distribution. To create the system's mathematical model, Markov models are used. The first order differential equation system was created using mnemonic rules, and it was then solved recursively using Modified Weibull distribution. The numerical results for the reliability characteristics, probability density functions, and hazard rate function were produced using Maple software, and the same maple program was also utilized to convert the numerical results to graphics. Analysis of the system's availability, reliability, PDF, hazard rate function and mean time to system breakdown is covered. For clarity, a numerical example is provided. (Figure presented.) (Figure presented.) © The Author(s), under exclusive licence to Society for Reliability and Safety (SRESA) 2024.

引用

页码：161 / 171

页数：10

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