File:Courbes fiabilite lambda en baignoire.svg

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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

Scilab source
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))")

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w:en:Creative Commons
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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.

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Date/TimeThumbnailDimensionsUserComment
current11:55, 25 June 2013Thumbnail for version as of 11:55, 25 June 2013584 × 455 (135 KB)Cdang (talk | contribs)different y-scale for lambda(t)
07:49, 25 June 2013Thumbnail for version as of 07:49, 25 June 2013584 × 455 (141 KB)Cdang (talk | contribs)User created page with UploadWizard

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