Reliabilty Analysis of Multi-State Series System


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Authors

  • M. Reni Sagayaraj Department of Mathematics, Sacred Heart College, Vellore, Tamilnadu, India
  • A. Merceline Anita Department of Mathematics, Sacred Heart College, Vellore, Tamilnadu, India
  • A. Chandra Babu Department of Mathematics, Noorul Islam University, Kanyakumari, Tamilnadu, India
  • N. Thirumoorthi Department of Mathematics, Sacred Heart College, Vellore, Tamilnadu, India

Keywords:

Multi-State System, Series System, Descartes Product, Multi-Series System

Abstract

Reliability Analysis considering Multiple Possible States is known as Multi-State Reliability Analysis. Multi-State System Reliability Models allow both the System and its Components to assume more than two levels of performance. Though Multi-State Reliability Models provide more realistic and more precise representation of Engineering System, they are much more complex and present major difficulties in System definition and performance evaluation. This paper presents a new Systematic Approach for the Reliability Analysis of Multi-State Series System which helps to determine the Expected Throughput and Performance-Free Failure Operation (PFFO) of the System. This Approach is applied to a Mathematical Model dealing with a Particular Population, being categorized into four groups based on their Haemoglobin level and the Health Status of the Population under Study is analyzed.

 

Author Biographies

M. Reni Sagayaraj, Department of Mathematics, Sacred Heart College, Vellore, Tamilnadu, India

 

 

A. Merceline Anita, Department of Mathematics, Sacred Heart College, Vellore, Tamilnadu, India

 

 

A. Chandra Babu, Department of Mathematics, Noorul Islam University, Kanyakumari, Tamilnadu, India

 

 

N. Thirumoorthi, Department of Mathematics, Sacred Heart College, Vellore, Tamilnadu, India

 

 

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Published

01-05-2016

How to Cite

M. Reni Sagayaraj, A. Merceline Anita, A. Chandra Babu, & N. Thirumoorthi. (2016). Reliabilty Analysis of Multi-State Series System. International Journal of Mathematics And Its Applications, 4(2 - A), 37–43. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1003

Issue

Section

Research Article