On the Network Reliability under Shock Models
In the study of the reliability of systems in reliability engineering, it has been defined several measures in the reliability and survival analysis literature. The reliability function, the mean residual lifetime and the hazard rate are helpful tools to analyze the maintenance policies and burn-in....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Iran University of Science & Technology
2019-06-01
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| Series: | International Journal of Industrial Engineering and Production Research |
| Subjects: | |
| Online Access: | http://ijiepr.iust.ac.ir/article-1-759-en.html |
| _version_ | 1819030268166537216 |
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| author | Sareh Goli Mohammadali Asadi |
| author_facet | Sareh Goli Mohammadali Asadi |
| author_sort | Sareh Goli |
| collection | DOAJ |
| description | In the study of the reliability of systems in reliability engineering, it has been defined several measures in the reliability and survival analysis literature. The reliability function, the mean residual lifetime and the hazard rate are helpful tools to analyze the maintenance policies and burn-in. In this paper, we consider a network consisting of n components having the property that the network has two states up and down (connected and disconnected). Suppose that the network is subject to shocks that each may cause the component failures. We further suppose that the number of failures at each shock follows a truncated binomial distribution and the process of shocks is nonhomogeneous Poisson process. This paper investigates the reliability function, the mean residual lifetime and the hazard rate of the network under shock model. An example and illustrative graph is also provided. |
| first_indexed | 2024-12-21T06:27:27Z |
| format | Article |
| id | doaj.art-f95c87e2718643b5899528b9ba9bf993 |
| institution | Directory Open Access Journal |
| issn | 2008-4889 2345-363X |
| language | English |
| last_indexed | 2024-12-21T06:27:27Z |
| publishDate | 2019-06-01 |
| publisher | Iran University of Science & Technology |
| record_format | Article |
| series | International Journal of Industrial Engineering and Production Research |
| spelling | doaj.art-f95c87e2718643b5899528b9ba9bf9932022-12-21T19:13:06ZengIran University of Science & TechnologyInternational Journal of Industrial Engineering and Production Research2008-48892345-363X2019-06-01302165172On the Network Reliability under Shock ModelsSareh Goli0Mohammadali Asadi1 Department of Mathematical Sciences, Isfahan University of Technology Department of Mathematical Sciences, Isfahan University of Technology In the study of the reliability of systems in reliability engineering, it has been defined several measures in the reliability and survival analysis literature. The reliability function, the mean residual lifetime and the hazard rate are helpful tools to analyze the maintenance policies and burn-in. In this paper, we consider a network consisting of n components having the property that the network has two states up and down (connected and disconnected). Suppose that the network is subject to shocks that each may cause the component failures. We further suppose that the number of failures at each shock follows a truncated binomial distribution and the process of shocks is nonhomogeneous Poisson process. This paper investigates the reliability function, the mean residual lifetime and the hazard rate of the network under shock model. An example and illustrative graph is also provided.http://ijiepr.iust.ac.ir/article-1-759-en.htmlnetwork reliabilityshock modelt-signaturemean residual lifetimehazard rate |
| spellingShingle | Sareh Goli Mohammadali Asadi On the Network Reliability under Shock Models International Journal of Industrial Engineering and Production Research network reliability shock model t-signature mean residual lifetime hazard rate |
| title | On the Network Reliability under Shock Models |
| title_full | On the Network Reliability under Shock Models |
| title_fullStr | On the Network Reliability under Shock Models |
| title_full_unstemmed | On the Network Reliability under Shock Models |
| title_short | On the Network Reliability under Shock Models |
| title_sort | on the network reliability under shock models |
| topic | network reliability shock model t-signature mean residual lifetime hazard rate |
| url | http://ijiepr.iust.ac.ir/article-1-759-en.html |
| work_keys_str_mv | AT sarehgoli onthenetworkreliabilityundershockmodels AT mohammadaliasadi onthenetworkreliabilityundershockmodels |