File:Courbes fiabilite lambda en baignoire.svg
From Wikimedia Commons, the free media repository
Jump to navigation
Jump to search
Size of this PNG preview of this SVG file: 584 × 455 pixels. Other resolutions: 308 × 240 pixels | 616 × 480 pixels | 986 × 768 pixels | 1,280 × 997 pixels | 2,560 × 1,995 pixels.
Original file (SVG file, nominally 584 × 455 pixels, file size: 135 KB)
File information
Structured data
Captions
Summary
[edit]DescriptionCourbes fiabilite lambda en baignoire.svg |
Français : Courbes de fiabilité pour un taux de défaillance instantané λ en baignoire.
Créé avec Scilab, modifié avec Inkscape. English: Reliability curves for a bathtube shaped instant failure rate λ.
Created with Scilab, modified with Inkscape. |
Date | |
Source | Own work |
Author | Cdang |
Scilab source
This media was created with Scilab, a free open-source software. Here is a listing of the Scilab source used to create this file. |
clear;
clf;
// lambda
pas_t = 0.5
lambda0 = 0.15;
lambda1 = 0.015;
lambda2 = 1.5;
t1 = 5;
t2 = 40;
tmax = 50
T1 = 0:pas_t:t1;
T2 = (t1+pas_t):pas_t:t2;
T3 = (t2+pas_t):pas_t:tmax
T = 0:pas_t:tmax;
n = size(T, "*");
n1 = size(T1, "*");
n2 = size(T2, "*");
n3 = size(T3, "*");
lambda(1:n1) = lambda1 + (lambda0/t1^2)*(T1 - t1).^2;
lambda(n1+1:n1+n2) = lambda1;
lambda(n1+n2+1:n1+n2+n3) = lambda1 + (lambda2/(tmax - t2)^2)*(T3 - t2).^2;
// fiabilité
lambda_cumul(1) = lambda(1);
for t = 2:n
lambda_cumul(t) = lambda_cumul(t-1) + lambda(t);
end
R = exp(-lambda_cumul);
F = 1-R;
// densité
for t = 1:n-1
f(t) = (R(t)-R(t+1))/pas_t;
end
// Tracé Weibull
Yweib = log(-log(R(2:$)))
Tweib = log(T(2:$));
// Tracé
subplot(2,2,1)
plot(T, [F, R])
xtitle("Fréquences cumulées", "t", "Fréquence")
legend("F (mortalité)", "R (survie)", 2)
subplot(2,2,3)
plot(T(2:$), f)
xtitle("Densité", "t", "$f$")
subplot(2,2,2)
plot2d(T, lambda, rect=[0, 0, 50, 0.3])
xtitle("Taux de défaillance", "t", "$\lambda$")
subplot(2,2,4)
plot(Tweib, Yweib)
xtitle("Tracé ""Weibull"" ", "ln(t)", "ln(-ln(R))")
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
- You are free:
- to share – to copy, distribute and transmit the work
- to remix – to adapt the work
- Under the following conditions:
- attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 11:55, 25 June 2013 | 584 × 455 (135 KB) | Cdang (talk | contribs) | different y-scale for lambda(t) | |
07:49, 25 June 2013 | 584 × 455 (141 KB) | Cdang (talk | contribs) | User created page with UploadWizard |
You cannot overwrite this file.
File usage on Commons
There are no pages that use this file.
File usage on other wikis
The following other wikis use this file:
- Usage on fr.wikipedia.org
Metadata
This file contains additional information such as Exif metadata which may have been added by the digital camera, scanner, or software program used to create or digitize it. If the file has been modified from its original state, some details such as the timestamp may not fully reflect those of the original file. The timestamp is only as accurate as the clock in the camera, and it may be completely wrong.
Short title | Courbes de fiabilité : cas d'un composant électronique |
---|---|
Width | 583.56451 |
Height | 455.45795 |