Abstract
In paper, a mathematical model was developed by the supplementary variable method, which is consisted of hardware and software in series. The hardware is repaired to be as good as new; while the software is repaired periodically with decreasing life time and after a period of time, it is repaired as a new one. Under the assumption that the life times of hardware and software both follow exponential distribution and the repair times are subject to general distribution, we take the reliability indices of a repairable computer system.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Rao, T.S.S., Gupta, U.C.: Performance modelling of the M/G/1 machine repairman problem with cold-,warm- and hot- standbys. Computers & Industrial Engineering 38, 251–267 (2000)
Edmond, J.V., Stanislav, S.M.: On Gavers parellel system sustained by a cold standby unit and attended by two repairmen. Operations Research Letters 30, 43–48 (2002)
Wang, K.H., Ke, J.C.: Probabilistic analysis of a repairable system with warm standbys plus balking and reneging. Applied Mathematical Modelling 27, 327–336 (2003)
Zhang, Y.L., Wang, G.J.: A deteriorating cold standby repairable system with priority in use. European Journal of Operational Research 183, 278–295 (2007)
Michael, J.A.: Age repair policies for the machine repair problem. European Journal of Operational Research 138, 127–141 (2002)
Xu, H.B., Wang, J.M.: Asymptotic stability of software system with rejuvenation policy. In: Proceedings of the 26th Chinese Control Conference, pp. 646–650 (2007)
Barlow, R.E., Proschan, F.: Statistical theory of reliability and life testing. Holt, Reinehart and Winston, New York (1975)
Khalil, Z.S.: Availability of series system with various shut-off rules. IEEE Trans. Reliability R. 34, 187–189 (1985)
Chao, M.T., Fu, J.C.: The reliability of a large series system under Markov structure. Adv. Appl. Probab. 23, 894–908 (1991)
Zhang, Y.L., Wang, G.J.: A geometric process repair model for a series repairable system with k dissimilar components. Applied Mathematical Modelling 31, 1997–(2007)
Zhang, Y.L., Wang, G.J.: A deteriorating cold standby repairable system with priority in use. European Journal of Operational Research 183, 278–295 (2007)
Rao, F., Li, P.Q., Yao, Y.P., et al.: Hardware/software Reliability Growth Model. Acta Automation Sinica 22(1), 33–39 (1996) (in Chinese)
Mark, A.B., Christine, M.M.: Developing Integrated Hardware-Software Reliability Models: Difficulties And Issues. In: Proceedings of AIAA/IEEE Digital Avionics Systems Conference (1995)
Lam, Y.: Geometric Processes and Replacement Problem. Acta Math. Appl. 4, 366–377 (1998)
Shi, Z., He, X.G., Wu, Z.: Software Reliability and its evaluation. Computer Applications 20(11), 1–5 (2000)
Wu, X., Zhang, J., Tang, Y.H., Dong, B.: Based on the Software and Hardware Features the Reliability Analysis of the Computer System. Journal of Civil Aviation Flight University of China 17(1), 33–36 (2006) (in Chinese)
Cao, H., Cheng, K.: Introduction to Reliability Mathematics. Higher Education Press, Beijing (2006) (in Chinese)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag GmbH Berlin Heidelberg
About this paper
Cite this paper
Qiao, X., Ma, D., Zhao, Z., Sun, F. (2012). The Indices Analysis of a Repairable Computer System Reliability. In: Xie, A., Huang, X. (eds) Advances in Electrical Engineering and Automation. Advances in Intelligent and Soft Computing, vol 139. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27951-5_45
Download citation
DOI: https://doi.org/10.1007/978-3-642-27951-5_45
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-27950-8
Online ISBN: 978-3-642-27951-5
eBook Packages: EngineeringEngineering (R0)