Reliability and Cost Analysis of Sachet Water Plant Using Copula Approach
Subject Areas : Reliability theory
Abdulkareem
Ismail
1
(Department of Mathematics, Kano State College of Education and Preliminary Studies)
Keywords: reliability, Availability, Sachet Water, serial system,
Abstract :
The goal of this study is to provide an analytical framework for a standby serial sachet water plant. The plant is made up of five subsystems: a storage tank, filters, a tank, boosters, and a production machine, all of which are set up in a series-parallel configuration. The failure rates of both subsystems/units are continuous and supposed to tail exponential function, but repair is categories into the following; general repair for partially failed state while copula repair for complete failed state. A repair person is on-call 24 hours a day, seven days a week to repair failed units in the system. The transition diagram is used to obtain partial differential equations of degree one, which are resolved using supplementary variable procedure, Laplace conversion and MAPLE software, to derive expressions for numerous dependability agencies name; availability, reliability, MTTF, sensitivity MTTF, and cost of the sachet water plant. Arithmetical instances are delivered in order to demonstrate the achieved results and also to investigate the influence of parameters used. Tables and figures revealed that copula repair outperforms general repair in terms of returns.
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