IJPAM: Volume 115, No. 2 (2017)

Title

A RELIABILITY MODEL FOR A SYSTEM WITH WRONG
DIAGNOSIS ON FAILURE AND TWO TYPES OF REPAIRMAN

Authors

Charu Bala$^1$, Anil Kumar Taneja$^2$,
Hari Darshan Arora$^3$, Anita Taneja$^4$
$^{1,3}$Department of Mathematics
AIAS Noida, INDIA
$^2$Department of Mathematics
J.R.E. Group of Institutions
Gr. Noida, 201308, INDIA
$^4$Department of Mathematics
I.E.C. College of Engineering Technology
Gr. Noida, 201310, INDIA

Abstract

A reliability model is analyzed for a system wherein chances of wrong diagnosis are there on its failure. On failure, the system is undertaken for repair by an ordinary repairman with the possibility that the repair done by him may be found improper. As soon as the improper repair is revealed after putting it into operation, it goes under repair of an expert repairman. The analysis of the system is done by making use of regenerative point technique. Profit fetched by the system is evaluated with interesting results.

History

Received: December 13, 2016
Revised: May 22, 2017
Published: July 14, 2017

AMS Classification, Key Words

AMS Subject Classification: 60K15, 90B25, 60K10
Key Words and Phrases: wrong diagnosis, regenerative point technique, measure of system effectiveness, profit analysis

Download Section

Download paper from here.
You will need Adobe Acrobat reader. For more information and free download of the reader, see the Adobe Acrobat website.

Bibliography

1
K.H. Wang, W.L. Dong, J.B. Ke, Comparison of reliability and the availability between four systems with warm standby components and standby switching failures, Applied Mathematics and Computation, 183 (2006), 1310-1322, doi: https://doi.org/10.1016/j.amc.2006.05.161.

2
B. Parashar, G. Taneja, Reliability and profit evaluation of a PLC hot standby system based on a master-slave concept and two types of repair facilities, IEEE Transaction of Reliability, 56, No. 3 (2007), 534-539, doi: https://doi.org/10.1109/TR.2007.903151.

3
A. Manocha, G. Taneja, R.K. Tuteja, Comparative profit analysis between two reliability model on ash water pump system with or without failed states, Int. J. Statist. Syst., 6 (2011), 9-16.

4
Dalip Singh, G. Taneja, Reliability analysis of a power generating system through gas and steam turbines with scheduled inspection, Aryabhatta Journal of Mathematics and Informatics, 5, No. 2 (2013), 373-380.

5
M.S. Kadyan, Reliability and profit analysis of a single unit system with preventive maintenance subject to maximum operation time, Maitenance and Reliability, 15, No. 2 (2013), 176-181.

6
R. Malhotra, G. Taneja, Stochastic analysis of a two-unit cold standby system wherein both units may become operative depending upon the demand, J. Qual. Reliab Eng. (2014), doi: https://doi.org/10.1155/2014/896379.

7
N. Padmavathi, S.M. Rizwan, Anita Pal, G. Taneja, Pobablistic analysis of a desalination plant with major and minor failures and shut down during winter season, International Journal of Scientific and Statistical Computing, 5, No. 1 (2014), 15-23.

How to Cite?

DOI: 10.12732/ijpam.v115i2.5 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 2
Pages: 259 - 269


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).