using gatool in MATLAB, by default the function will be minimized:

"Fitness function (required) is the objective function you want to minimize. You can specify the function as a function handle of the form @objfun, where objfun.m is a function file that returns a scalar." -MATLAB Help

Hello Sanket,

If I understood correctly, your objective function has one decision variable only. The variable is 'h' and objective function value is 'X'. So, in GA 'individual' will has only one 'gene' in the 'chromosome'.

Try with, [SOL OFV]=ga(@(IND) time(IND),options); from MATLAB command line or by using GUI of 'gatool' MATLAB toolbox as Mohammad suggested.

Above, 'SOL' is solution individual from GA, 'OFV' is objective function value, 'options' is  argument of MATLAB 'ga' function and can be defined by using MATLAB 'gaoptimset' function. You can find more details in MATLAB help for 'ga' and 'gaoptimset' functions.

Best regards,

Marinko

the algorithm contains four part,

initialize a group randomly 

given a direction for evolution in whole group

cross the new individule with corresponding ones to get new group (probablity random)

compare new group with old group, select better one with a criterion(in your case, the one make the function value smaller) 

repeat above procedure until satisfy your conditions(some threshold)

It's simple, so you can do it yourself refering some relative paper.

What I understand of your problem is that you would like to find the best order of passengers so that the total waiting time for passenger is minimal. In such a case, your problem is not to minimize a function. The function to evaluate the waiting time of passenger is predefined and fixed, but the input of the parameters, the order of the passengers, determine how long the waiting time will be. Right?

Thank You Mr. Mohammad, Mr. Marinko and Mr. Lixin. I am trying to explore it more.

@ Min Shi

I have recorded Passengers waiting time. Now I have to optimize the current transit schedule so that passengers will have to wait less.

Ok, then I am right. What you want to optimize is the transit schedule, that is the order of passengers. I think your problem is quite similar to job-shop scheduling problem, that is a benchmark problem in heuristic search. I believe you will find a lot of papers to solve this job-shop scheduling problem with GA. 

Also you can use, this third-party open-source implementation of binary and real-coded Genetic Algorithms in MATLAB:

http://yarpiz.com/23/ypea101-genetic-algorithms

If you are familiar with MATLAB programming concepts, you will find it very easy, to use these source codes, in you research and projects.

thanks @ S. Mostapha Kalami Heris i coudnt understand how to applicate with my fitness function could help me please

thank you so much in advance

Khadija Barhmi

you can use predefined function of ga in Matlab

https://www.mathworks.com/help/gads/ga.html

thank you so much Yacine Bouali