Please ans this....how to write the equation into Matlab Code

[VBBV]

Read about integral or cumtrapz functions

[Jan]

Do you want to solve this symbolically or numerically?

[Kunwar Pal Singh]

i want to implement this equation in PSO algorithm by Maximizing the above equation

[Kunwar Pal Singh]

how to write this equation in matlab code for PSO algorithm

[Walter Roberson]

To search for a maximum, minimize the negative of the result equation that I posted.

You can use lower bound and upper bound to apply those constraints. I suspect that t_1 should have a lower bound of 0.

Answer 1

[Walter Roberson]

%these variables must be defined in a way appropriate for your situation
S_N = rand() * 10

S_N = 5.6100

theta = randn() * 2 * pi

theta = -9.9489

l = randi([2 10])

l = 4

b_1 = rand()

b_1 = 0.4189

c_11 = rand()

c_11 = 0.7008

t_year = randi([1950 2049])

t_year = 1960

d_11 = rand()

d_11 = 0.3502

t_1 = rand()

t_1 = 0.1989

t_x = t_1 + rand()

t_x = 0.5704

lambda_a = randi([500 579])

lambda_a = 551

LOTF_a = rand()

LOTF_a = 0.1140

P = rand()

P = 0.7418

K_l = rand()

K_l = 0.7342

k_0 = rand()

k_0 = 0.2623

t_tau = randi(10)

t_tau = 7

overhaulcost_a = 1000 + rand()*100

overhaulcost_a = 1.0864e+03

%the work
syms t

part1 = int(S_N .* cos(theta) .* l .* b_1 .* t_year .* d_11, t, t_1, t_x);
part2 = int(lambda_a .* LOTF_a, t, t_1, t_x);
part3 = int(P*K_l .* t_year + P .* k_0 .* l .* l .* t_tau, t, t_1, t_x);
part4 = overhaulcost_a ;

result = part1 - part2 - part3 - part4;

result

result = 

[Walter Roberson]

I think it likely that your equations are wrong. All three integrals that you are doing are integrals over t, but all three of the expressions to be integrated are independent of t . Two of them are dependent on t_year and one is dependent on t_tau but neither t_year nor t_tau are the variables of integration.

[Kunwar Pal Singh]

Im not getting the output of the "result". i'm getting the output till the overhaulcost_a, after that not getting fully ans cant getting why it is so..

[Walter Roberson]

Remove the semi-colons if you want the partial results to be displayed.

[Kunwar Pal Singh]

ok thanx