File:Courbes fiabilite lambda en baignoire.svg
Summary
| Description |
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
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.
