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Christiawanta

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Error, (in Optimization:-NLPSolve) could...

Christiawanta 5 Maple
optimization
January 22 2017
2 16

guys, need your help. i've been trying to find 9 pamater which are psi1,psi2,psi3,m1,m2,m3,sigma1,sigma2,sigma3. I need to minimize one function. i have datas and several contraints. i will share this with you guys. Really need your help and i'll appreciate any suggestion. Thanks

data:

a(x):=qtopi[x];

this is my objective function:

fungsikerugian := sum((1-(1-(psi1*exp(-((x+1)/m1)^(m1/sigma1))+psi2*(1-exp(-((x+1)/m2)^(-m2/sigma2)))+psi3*exp(exp(-m3/sigma3)-exp((x+1-m3)/sigma3)))/(psi1*exp(-(x/m1)^(m1/sigma1))+psi2*(1-exp(-(x/m2)^(-m2/sigma2)))+psi3*exp(exp(-m3/sigma3)-exp((x-m3)/sigma3))))/a(x))^2, x = 0 .. 111);

these are my contraints

a := psi1+psi2+psi3 = 1;
         
b := 0 <= exp(-((x+1)/m1)^(m1/sigma1));
                          
c := 1 >= exp(-((x+1)/m1)^(m1/sigma1));
                       
d := 0 <= 1-exp(-((x+1)/m2)^(-m2/sigma2));
                        
e := 1 >= 1-exp(-((x+1)/m2)^(-m2/sigma2));
                 
f := 0 <= exp(exp(-m3/sigma3)-exp((x+1-m3)/sigma3));
                  
g := 1 >= exp(exp(-m3/sigma3)-exp((x+1-m3)/sigma3));
            
h := 0 <= exp(-(x/m1)^(m1/sigma1));
                        
i := 1 >= exp(-(x/m1)^(m1/sigma1));
                     
j := 0 <= 1-exp(-(x/m2)^(-m2/sigma2));
                           
k := 1 >= 1-exp(-(x/m2)^(-m2/sigma2));
                      
l := 0 <= exp(exp(-m3/sigma3)-exp((x-m3)/sigma3));
                   
m := 1 >= exp(exp(-m3/sigma3)-exp((x-m3)/sigma3));
               
n := 0 <= 1-(psi1*exp(-((x+1)/m1)^(m1/sigma1))+psi2*(1-exp(-((x+1)/m2)^(-m2/sigma2)))+psi3*exp(exp(-m3/sigma3)-exp((x+1-m3)/sigma3)))/(psi1*exp(-(x/m1)^(m1/sigma1))+psi2*(1-exp(-(x/m2)^(-m2/sigma2)))+psi3*exp(exp(-m3/sigma3)-exp((x-m3)/sigma3)));

o := 1 >= 1-(psi1*exp(-((x+1)/m1)^(m1/sigma1))+psi2*(1-exp(-((x+1)/m2)^(-m2/sigma2)))+psi3*exp(exp(-m3/sigma3)-exp((x+1-m3)/sigma3)))/(psi1*exp(-(x/m1)^(m1/sigma1))+psi2*(1-exp(-(x/m2)^(-m2/sigma2)))+psi3*exp(exp(-m3/sigma3)-exp((x-m3)/sigma3)));
 
i use this to solve that but seems to not going anywhere
NLPSolve(fungsikerugian, {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o}, assume = nonnegative);
 
Thanks
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