BlockSim Example: Phase with Failure or Success Paths: Difference between revisions

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== Phase with F/S links ==
#REDIRECT [[Example_Using_Success_Failure_Paths_in_Phase_Diagrams]]
 
==== Purposes  ====
 
The purposes of this example are to illustrate how to apply F/S links in Phase simulation.
 
#For a F link, on system failure, system go to somewhere immediately when failure occurs.
#For a S link, if there is no system failure during this phase, system goes to somewhere by the end of the current phase.
 
==== RBDs for Phase and settings ====
The RBDs for Phase 1 and Phase 2 are as followings:
[[Image:RBD_for_Phase_1_and_2.png|thumb|center|500px]]
 
In Phase 1, Block A follows Weibull distribution with Beta = 1.5 and Eta = 1000 hours. Block B follows Weibull distribution with Beta = 1.5 and Eta = 1200 hours. No maintenance.
 
In Phase 2, Block A follows Weibull distribution with Beta = 1.5 and Eta = 900 hours. Block B follows Weibull distribution with Beta = 1.5 and Eta = 1150 hours. No maintenance.
 
==== Example 1  ====
 
The Phase diagram is as followings: [[Image:Phase Example 1.png|thumb|center|500px]]
 
Maintenance phase has a CM with duration 80 hours and PM with duration 20 hours for both Block A and B.
 
Phase 1 has duration 100 hours and Phase 2 has duration 500 hours.
 
If there is no failure in Phase 1, upon finish, it goes to Phase 2. If there is a failure in Phase 1, it would go to Maintenance Phase 3 immediately. If there is no failure in Phase 2, upon finish, it goes back to Phase 1. If there is a failure in Phase 2, it would go to Maintenance Phase 3 immediately.
 
The Block Up/Down plot is as followings:
 
#At the first cycle (0-100 for Phase 1 and 200-600 for Phase 2), there is no failure, thus after Phase 2, Phase 1 is executed (back to Phase 1 after this cycle).
#At 616 (Phase 1 of the second cycle), Block A fails. System doesn't enter Maintenance Phase 3 immediately because in Phase 1, Block A and Block B are parallel. Only failure of Block A doesn't bring system down. 
#At 700, after Phase 1, system goes into Phase 2. In Phase 2, failure of Block A (passed from Phase 1) bring the system down because in Phase 2, Block A is in series with Block B. Thus system goes into Maintenance Phase 3 immediately. Block B is not down, thus it gets PM with duration 20 hours. Block A gets CM with duration 100 hours.
#At 1669, Block A fails in Phase 2 which bring down the system and system goes into Maintenance Phase 3 immediately. Block A gets CM and Block B gets PM.<br>
 
[[Image:Phase Up Down plot for Example 1.png|thumb|center|500px]]
 
==== Example 2  ====
 
The Phase diagram is as followings: [[Image:Phase Example 2.png|thumb|center|500px]]
 
Everything is the same as that in Example 1 except that the link from Phase 2 to Maintenance Phase 3 changes from F link to S link. This means that whether or not there is a failure in Phase 2, the system would go to Maintenance Phase 3 after Phase 2. But if there is a &nbsp;failure in Phase 2, system would go to Maintenance Phase 3 after Phase 2, not immediately.&nbsp;
 
The Block Up/Down plot is as followings:
 
#At 219, Block A fails in Phase 2. This failure brings the system down. However, since the link from Phase 2 to Maintenance Phase 3 is a S link, system doesn't go into Maintenance Phase 3 immediately. It would go into Maintenance Phase 3 after the Phase 2. Block A gets CM and Block B gets PM in there.
#At 1934, Block B fails in Phase 1. This failure doesn't bring system down becasue in Phase 1, system is in parallel structure. After Phase 1, system goes into Phase 2 and the failure of Block B brings system down in Phase 2. However, system doesn't go into Maintenance Phase 3 immediately because the link between them is S link. System goes into Maintenance Phase 3 after Phase 2 and Block B gets CM and Block A gets PM there.[[Image:Phase Up Down plot for Example 2.png|thumb|center|500px]]
 
[[Category:BlockSim_Examples]]

Latest revision as of 09:42, 31 July 2012