Mission availability for bounded-cumulative-downtime system.
In this research, a mathematics model is proposed to describe the mission availability for bounded-cumulative-downtime system. In the proposed model, the cumulative downtime and cumulative uptime are considered as constraints simultaneously. The mission availability can be defined as the probability...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Public Library of Science (PLoS)
2013-01-01
|
| Series: | PLoS ONE |
| Online Access: | http://europepmc.org/articles/PMC3699580?pdf=render |
| _version_ | 1818556424552185856 |
|---|---|
| author | Yu Zhou Gang Kou Daji Ergu Yi Peng |
| author_facet | Yu Zhou Gang Kou Daji Ergu Yi Peng |
| author_sort | Yu Zhou |
| collection | DOAJ |
| description | In this research, a mathematics model is proposed to describe the mission availability for bounded-cumulative-downtime system. In the proposed model, the cumulative downtime and cumulative uptime are considered as constraints simultaneously. The mission availability can be defined as the probability that all repairs do not exceed the bounded cumulative downtime constraint of such system before the cumulative uptime has accrued. There are two mutually exclusive cases associated with the probability. One case is the system has not failed, where the probability can be described by system reliability. The other case is the system has failed and the cumulative downtime does not exceed the constraint before the cumulative uptime has accrued. The mathematic description of the probability under the second case is very complex. And the cumulative downtime in a mission can be set as a random variable, whose cumulative distribution means the probability that the failure system can be restored to the operating state. Giving the dependence in the scheduled mission, a mission availability model with closed form expression under this assumption is proposed. Numerical simulations are presented to illustrate the effectiveness of the proposed model. The results indicate that the relative errors are acceptable and the proposed model is effective. Furthermore, three important applications of the proposed mission availability model are discussed. |
| first_indexed | 2024-12-13T23:47:10Z |
| format | Article |
| id | doaj.art-a2dbe0e2fdb548739b427f0c67e4b32b |
| institution | Directory Open Access Journal |
| issn | 1932-6203 |
| language | English |
| last_indexed | 2024-12-13T23:47:10Z |
| publishDate | 2013-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj.art-a2dbe0e2fdb548739b427f0c67e4b32b2022-12-21T23:26:55ZengPublic Library of Science (PLoS)PLoS ONE1932-62032013-01-0187e6537510.1371/journal.pone.0065375Mission availability for bounded-cumulative-downtime system.Yu ZhouGang KouDaji ErguYi PengIn this research, a mathematics model is proposed to describe the mission availability for bounded-cumulative-downtime system. In the proposed model, the cumulative downtime and cumulative uptime are considered as constraints simultaneously. The mission availability can be defined as the probability that all repairs do not exceed the bounded cumulative downtime constraint of such system before the cumulative uptime has accrued. There are two mutually exclusive cases associated with the probability. One case is the system has not failed, where the probability can be described by system reliability. The other case is the system has failed and the cumulative downtime does not exceed the constraint before the cumulative uptime has accrued. The mathematic description of the probability under the second case is very complex. And the cumulative downtime in a mission can be set as a random variable, whose cumulative distribution means the probability that the failure system can be restored to the operating state. Giving the dependence in the scheduled mission, a mission availability model with closed form expression under this assumption is proposed. Numerical simulations are presented to illustrate the effectiveness of the proposed model. The results indicate that the relative errors are acceptable and the proposed model is effective. Furthermore, three important applications of the proposed mission availability model are discussed.http://europepmc.org/articles/PMC3699580?pdf=render |
| spellingShingle | Yu Zhou Gang Kou Daji Ergu Yi Peng Mission availability for bounded-cumulative-downtime system. PLoS ONE |
| title | Mission availability for bounded-cumulative-downtime system. |
| title_full | Mission availability for bounded-cumulative-downtime system. |
| title_fullStr | Mission availability for bounded-cumulative-downtime system. |
| title_full_unstemmed | Mission availability for bounded-cumulative-downtime system. |
| title_short | Mission availability for bounded-cumulative-downtime system. |
| title_sort | mission availability for bounded cumulative downtime system |
| url | http://europepmc.org/articles/PMC3699580?pdf=render |
| work_keys_str_mv | AT yuzhou missionavailabilityforboundedcumulativedowntimesystem AT gangkou missionavailabilityforboundedcumulativedowntimesystem AT dajiergu missionavailabilityforboundedcumulativedowntimesystem AT yipeng missionavailabilityforboundedcumulativedowntimesystem |