CFP last date
20 December 2024
Reseach Article

Stochastic Modeling and Performance Measures of Redundant System Operating in Different Conditions

by Ibrahim Yusuf, Saminu I. Bala
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 50 - Number 22
Year of Publication: 2012
Authors: Ibrahim Yusuf, Saminu I. Bala
10.5120/7936-1264

Ibrahim Yusuf, Saminu I. Bala . Stochastic Modeling and Performance Measures of Redundant System Operating in Different Conditions. International Journal of Computer Applications. 50, 22 ( July 2012), 23-29. DOI=10.5120/7936-1264

@article{ 10.5120/7936-1264,
author = { Ibrahim Yusuf, Saminu I. Bala },
title = { Stochastic Modeling and Performance Measures of Redundant System Operating in Different Conditions },
journal = { International Journal of Computer Applications },
issue_date = { July 2012 },
volume = { 50 },
number = { 22 },
month = { July },
year = { 2012 },
issn = { 0975-8887 },
pages = { 23-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume50/number22/7936-1264/ },
doi = { 10.5120/7936-1264 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:48:59.646815+05:30
%A Ibrahim Yusuf
%A Saminu I. Bala
%T Stochastic Modeling and Performance Measures of Redundant System Operating in Different Conditions
%J International Journal of Computer Applications
%@ 0975-8887
%V 50
%N 22
%P 23-29
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Many authors have studied repairable redundant system operating in different condition under the assumption that the system received corrective maintenance at failure and preventive maintenance before failure. However, little or no attention is paid on whether the system can receive minor and major maintenance when it is operating in a reduced capacity state. In this study we consider a redundant air condition cooling system consisting of main unit and a warm standby reserved unit operating in different weather condition (High and low temperature). Using Kolmogorov's forward equations method, various measures of system performance such as Mean time to system failure (MTSF), availability, busy period and frequency of preventive, minor and major maintenance, profit function are obtained. Mean time to system failure, availability and profit function are studied graphically.

References
  1. El-Said, K. M. ,. ( 2008). Cost analysis of a system with preventive maintenance by using Kolmogorov's forward equations method. Ame. J. of App. Sci. 5(4), 405-410 [2 ] El Sherbeny, M. S. (2012). Optimal system for warm standby components in the presence of standby switching failures, two types of failures and general repair time. IJCA, Vol. 44, no. 20, pp 17-26
  2. El Damcese, M. A. and Temraz, N. S. (2011). Availability and reliability measures for multi-state system by using Markov reward model. RT&A, Vol. 2, No. 3, 68-85
  3. Frenkel, I. , Lisnianski, A. and Khvatskin, L. (2009). Corrective and reliability associated cost estimation of aging multi-state systems. Computer modeling and new technolonogy, Vol. 13, No. 1, 32-38
  4. Haggag, M. Y. , (2009). Cost analysis of a system involving common cause failures and preventive maintenance. J. Maths. And Stat. 5(4), 305-310
  5. Kumar, A. and Malik, S. C. (2012). Stochastic Modeling of a computer system with priority to Preventive maintenance over software replacement subject to maximum operation and repair times, IJCA, Vol. 43, no. 3,27-34
  6. Wang, K. , Yen, T and Fang, Y. (2012). Comparison of availability between two systems with warm standby units and different imperfect coverage. Quality technology and quantitative management, Vol. 9, No. 3, 265-282
  7. Wang, K. . , Hseih, C. and Liou, C. (2006). Cost benefit analysis of series systems with cold standby components and a repairable service station. Quality technology and quantitative management, Vol. 3, No. 1, 77-9
Index Terms

Computer Science
Information Sciences

Keywords

Profit analysis MTSF minor maintenance major maintenance preventive maintenance availability