Weibull++ Example 9 - Parametric Recurrent Event Data Analysis Example

Examples provided here are purely for illustrating software features and functionality.

Weibull++ Example 9 – Parametric Recurrent Event Data Analysis Example

Download Example File for Version 10 (*.rsgz10) or Version 9 (*.rsr9)

Background

The repairs made to a system are tracked over a period of time. Each repair is capable of addressing any damage accumulated up to the time of the current failure. The objective is to determine how effective the repairs are.

Experiment and Data

The table below displays the failure times for the system.

0.7 121.9 285
3.7 125.5 304
13.2 133.4 315.4
15 151 317.1
17.6 163 320.6
25.3 164.7 324.5
47.5 174.5 324.9
54 177.4 342
54.5 191.6 350.2
56.4 192.7 355.2
63.6 213 364.6
72.2 244.8 364.9
99.2 249 366.3
99.6 250.8 373
100.3 260.1 379.4
102.5 263.5 389
112 273.1 394.9
112.2 274.7 395.2
120.9 282.8

Analysis

Step 1: Add a parametric recurrent event data analysis (RDA) folio to an existing project by choosing Insert > Folios > Parametric RDA.

Step 2: Enter the data into the data sheet. Note that you must enter the final observation time twice: once as a failure (F) and once as the end event (E).

Step 3: On the control panel, select the 3 parameters options and the Type II virtual age model. Click Calculate to calculate the parameters. The results are shown next.

In ReliaSoft’s BlockSim software for system reliability, maintainability and availability analysis, the restoration factor, r, can be a number from 0 to 1, where 1 indicates that the block (component) is “as good as new” after the maintenance action (i.e., with a new age of 0) and 0 indicates that the block has not been improved at all by the maintenance action (i.e., with an age the same as the age before the maintenance was performed). A restoration factor of 0.5 implies a 50% improvement to the block and sets the age of the block to 50% of the age of the block at the time of the maintenance action. A restoration factor of 0.75 implies a 75% improvement to the block and sets the age of the block to 25% of the age of the block at the time of the maintenance action.

When you are using the Type II virtual age model in Weibull++’s parametric RDA folio, the restoration factor is equal to 1 – the q parameter. Thus, the restoration factor here is 0.0684, which implies a 6.8% improvement to the system.