Please suggest how to solve this optimization problem

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Parikshit Sharma 2018-4-16

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回答： Parikshit Sharma 2018-4-17

采纳的回答： Walter Roberson

Can you please suggest me how to solve this optimization problem ?

OBJECTIVE FUNCTION:

Minimize x(3)

Subject to:

1/factorial x(1) < x(3)

1/factorial x(2) < x(3)

x(1) + x(2) < 100

x(1) and x(2) are integers and > 0

please do reply,Thanking you in advance!!

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Birdman 2018-4-16

编辑：Birdman 2018-4-16

在 MATLAB Online 中打开

What do these statements indicate?

 1/factorial x(1) < x(3)
 1/factorial x(2) < x(3)

Which variable's factorial is taken?

Parikshit Sharma 2018-4-16

x(1), x(2) and x(3) are my variables,

here factorial of x(1) and x(2) are being calculated

[1/factorial(x(1))] < x(3)

[1/factorial(x(2))] < x(3)

In statement meaning

[1/factorial(x(1))] should be less than x(3)

[1/factorial(x(2))] should be less than x(3)

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Walter Roberson 2018-4-16

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x1 is 49, x2 is 50, x3 is 1/factorial(49) * (1+eps)

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Walter Roberson 2018-4-16

Crossover function:

If you move x3 around then floor or round or ceiling to get an integer value and verify it is at least 1.

Walter Roberson 2018-4-16

Mutation function: use randi for generating for x1 or x2. Use a floating point generator for x3. You will need to decide on the range to generate over.

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Parikshit Sharma 2018-4-17

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Walter I have to say thank you for such a prompt reply. Simply a few more questions to elaborate a bit more.

i am very new to matlab and so if possible then can you please provide me any link or elaboration so that i can better understand how to incorporate integer constraint with the help of mutation and crossover,

lastly i am attaching my problem of optimization as a image file kindly look into it and provide me a way to solve it, i used genetic algorithm using integer constraints and results obtained are not correct and so that is the reason that i want to know how to incorporate integer constraints using custom mutation and crossover function.

Thanking you in advance!