I am trying to implement a method for a reliability problem based on the following article main.pdf (sciencedirectassets.com). I am facing some problems while expressing the mathematical equations to MATLAB.
All required parameters are given as shown bellow.
lambda_i is given so that’s why I am expressing it bellow right after ‘%Equations’
Could you help me express the series of sum from (1 to N+1) of MTBFi from denominator, and the series of sum (from i to N) of the integral f(i)*(tau_i)*dtau_i from 0 to Xi?
Also, I don’t get when the lambda_i_plus_one is used on the CTM equation, any ideas?

%Parameters
beta = 2;alpha = 200;Ccl = 2000;Cpm = 2500;Rl = 1100;Cren = 50000;delta = 0.223;P = 12;N = 8; Clog = 1600;
%Equations
lambda_i = @(t) (beta / alpha) * (t / alpha).^(beta – 1); %It is given
lambda_i_plus_1 = @(t) exp(delta) * lambda_i(t);
f_i = @(t) lambda_i(t) .* exp(-integral(lambda_i(t), 0, t));

integral_MTBF = @(tau_i) tau_i .* f_i(tau_i); % This doesn’t work right
MTBF_i = integral(integral_MTBF, 0, Inf); % This doesn’t work right
Xi = MTBF + P; % MTBF should be a vector so that Xi will take values from 1 to N as article says.
%CTM
numerator=Rl*P*(sum_of_integrals)+(N*(Cpm+Ccl+Clog))+((Rl*P)+Ccl+Cren+Clog);
denominator=((N+1)*P)+(series_of_sum);
CTM=num/denI am trying to implement a method for a reliability problem based on the following article main.pdf (sciencedirectassets.com). I am facing some problems while expressing the mathematical equations to MATLAB.
All required parameters are given as shown bellow.
lambda_i is given so that’s why I am expressing it bellow right after ‘%Equations’
Could you help me express the series of sum from (1 to N+1) of MTBFi from denominator, and the series of sum (from i to N) of the integral f(i)*(tau_i)*dtau_i from 0 to Xi?
Also, I don’t get when the lambda_i_plus_one is used on the CTM equation, any ideas?

%Parameters
beta = 2;alpha = 200;Ccl = 2000;Cpm = 2500;Rl = 1100;Cren = 50000;delta = 0.223;P = 12;N = 8; Clog = 1600;
%Equations
lambda_i = @(t) (beta / alpha) * (t / alpha).^(beta – 1); %It is given
lambda_i_plus_1 = @(t) exp(delta) * lambda_i(t);
f_i = @(t) lambda_i(t) .* exp(-integral(lambda_i(t), 0, t));

integral_MTBF = @(tau_i) tau_i .* f_i(tau_i); % This doesn’t work right
MTBF_i = integral(integral_MTBF, 0, Inf); % This doesn’t work right
Xi = MTBF + P; % MTBF should be a vector so that Xi will take values from 1 to N as article says.
%CTM
numerator=Rl*P*(sum_of_integrals)+(N*(Cpm+Ccl+Clog))+((Rl*P)+Ccl+Cren+Clog);
denominator=((N+1)*P)+(series_of_sum);
CTM=num/den I am trying to implement a method for a reliability problem based on the following article main.pdf (sciencedirectassets.com). I am facing some problems while expressing the mathematical equations to MATLAB.
All required parameters are given as shown bellow.
lambda_i is given so that’s why I am expressing it bellow right after ‘%Equations’
Could you help me express the series of sum from (1 to N+1) of MTBFi from denominator, and the series of sum (from i to N) of the integral f(i)*(tau_i)*dtau_i from 0 to Xi?
Also, I don’t get when the lambda_i_plus_one is used on the CTM equation, any ideas?

%Parameters
beta = 2;alpha = 200;Ccl = 2000;Cpm = 2500;Rl = 1100;Cren = 50000;delta = 0.223;P = 12;N = 8; Clog = 1600;
%Equations
lambda_i = @(t) (beta / alpha) * (t / alpha).^(beta – 1); %It is given
lambda_i_plus_1 = @(t) exp(delta) * lambda_i(t);
f_i = @(t) lambda_i(t) .* exp(-integral(lambda_i(t), 0, t));

integral_MTBF = @(tau_i) tau_i .* f_i(tau_i); % This doesn’t work right
MTBF_i = integral(integral_MTBF, 0, Inf); % This doesn’t work right
Xi = MTBF + P; % MTBF should be a vector so that Xi will take values from 1 to N as article says.
%CTM
numerator=Rl*P*(sum_of_integrals)+(N*(Cpm+Ccl+Clog))+((Rl*P)+Ccl+Cren+Clog);
denominator=((N+1)*P)+(series_of_sum);
CTM=num/den mathematics, statistics, matlab function MATLAB Answers — New Questions

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