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Reseach Article

Stochastic Modeling of a Single-Unit Repairable System with Preventive Maintenance under Warranty

by Ramniwas, M. S. Kadyan, Jitender Kumar
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 75 - Number 14
Year of Publication: 2013
Authors: Ramniwas, M. S. Kadyan, Jitender Kumar
10.5120/13183-0906

Ramniwas, M. S. Kadyan, Jitender Kumar . Stochastic Modeling of a Single-Unit Repairable System with Preventive Maintenance under Warranty. International Journal of Computer Applications. 75, 14 ( August 2013), 36-41. DOI=10.5120/13183-0906

@article{ 10.5120/13183-0906,
author = { Ramniwas, M. S. Kadyan, Jitender Kumar },
title = { Stochastic Modeling of a Single-Unit Repairable System with Preventive Maintenance under Warranty },
journal = { International Journal of Computer Applications },
issue_date = { August 2013 },
volume = { 75 },
number = { 14 },
month = { August },
year = { 2013 },
issn = { 0975-8887 },
pages = { 36-41 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume75/number14/13183-0906/ },
doi = { 10.5120/13183-0906 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:44:18.621940+05:30
%A Ramniwas
%A M. S. Kadyan
%A Jitender Kumar
%T Stochastic Modeling of a Single-Unit Repairable System with Preventive Maintenance under Warranty
%J International Journal of Computer Applications
%@ 0975-8887
%V 75
%N 14
%P 36-41
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper a stochastic model for a single unit repairable system with Preventive Maintenance (PM) under warranty is analyzed in details by using supplementary variable technique. The cost of repair during warranty is born by the manufacturers, but warranty does not apply to product failure due to user-induced damage such as cracked screen or cracked casing, accident, misuse, physical damage, damage due to liquid and unauthorized modifications etc. within warranty period. Unit goes under PM during warranty and works as new after PM. There is a single server who always remains with the system. The time to failure of the system follows negative exponential distribution while PM and repair time distributions are taken as arbitrary. The expressions for some economic measures such as reliability, mean time to system failure (MTSF) and availability have been derived. A particular case is considered to highlight the behaviour of reliability and profit function.

References
  1. Arekar Kirti, Ailawadi Satish and Jain Rinku 2012. Reliability modelling for wear out failure period of a single unit system, Journal of Statistical and Econometric Methods, 1(1), 33-41.
  2. Cox D. R. 1962. Renewal theory, John Wiley & Sons INC, New York.
  3. Kadyan M S, Promila, Jitender Kumar 2013. Reliability modeling of a single-unit system with arbitrary distribution subject to different weather condition. Int J Syst Assur Eng Manag, DOI 10. 1007/s13198-013-0168-3.
  4. Kadyan M S, Promila 2012. Reliability and Cost-Benefit Analysis of a Single Unit System with Degradation and Inspection at Different Stages of Failure subject to Weather Conditions. International Journal of Computer Applications, 55(6), 0975 – 8887.
  5. Kharoufeh J. P. , Solo C. J. and Ulukus M. Y. 2010. Semi-Markov models for degradation-based reliability, IIE Transactions, 42, 599–612.
  6. Malik S. C. , Chand P. and Singh J. 2008. Stochastic analysis of anoperating system with two types of inspection subject to degradation, journal of applied probability & statistics, 3(2), 227-241.
  7. Proctor C. L. , Singh B. 1976. A repairable 3- state device, IEEE Trans. Reliab. , R-25, 210-211.
  8. Shakuntla S. , A. K. Lal, S. S. Bhatia and Jai Singh 2011. Reliability analysis of polytube industry using supplementary variable technique, Applied Mathematics and Computation, 218, 3981-3992.
  9. Uematsu K and Nishida T 1987. One-unit system with a failure rate depending upon the degree of repair, Mathematica Japonica, 32/1, 139-147
  10. Xiaoning Jin, Lin Li and Jun Ni 2009. Option model for joint production and preventive maintenance system, Int. J. Production Economics, 119, 347-353.
Index Terms

Computer Science
Information Sciences

Keywords

Stochastic model Single-Unit System Warranty Preventive Maintenance and Reliability