## ECJ-INTEREST-L@LISTSERV.GMU.EDU

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```Thank you all for your replies, which are of great help and interest to
me.  My particular project is still in an early research stage, but now
a small step closer to realisation.

Thanks,
Paul

On 10/03/2011 10:33, David R White wrote:
> Seems that your options are limited:
>
> 1. Punish infeasible individuals through fitness.
> 2. Prevent infeasible individuals from occurring by constraining
> variation operators.
> 3. Prevent infeasible individuals from occurring by repeatedly
> applying variation operators until a valid individual is generated.
> 4. Repair infeasible individuals after variation to change them into a
> feasible solution.
> 5. Define a representation such that every individual in your search
> space is a feasible solution.
>
> (2) or (5) are the most desirable to me, as the rest result in a
> potential waste of compute power... although sometimes infeasible
> solutions can be useful in constructing feasible ones.
>
> David
>
> On 09/03/11 17:56, J. Alejandro Zepeda Cortés wrote:
>> Because a hard time constraint we choose to walk into the space of valid
>> solutions specializing the classes for the crossover, mutation and
>> initialization methods. In our problem, the individuals were complex and
>> time consuming to build so we avoid to spend time building unfitted
>> individuals.
>>
>>
>>     A while back, i was using a GA to evolve logic puzzles, and it
>>     created many invalid puzzles.  But I didn't exclude invalid puzzles
>>     from the search, because I was afraid that they would include good
>>     building blocks for valid puzzles.  So, my algorithm pulled error
>>     counts into the fitness function as a way to guide the invalid
>>     puzzles towards valid ones.
>>
>>     I wonder if there is a good way to determine if a search is better
>>     or worse off by doing this.
>>
>>     -Dave
>>
>>     On Mar 9, 2011, at 11:56 AM, Robert Baruch wrote:
>>
>> > I, too, am interested in the answer to this question.
>> >
>> > In my own work, I've modified the crossover or mutation algorithm
>>     to explicitly generate valid individuals. For example, if a given
>>     element in a GA individual must be within a certain range, I could
>>     clip the value to the upper or lower limit if the value goes out of
>>     range.
>> >
>> > GP has retries when it generates individuals that are too big --
>>     it just tries again. If it can't generate a valid individual after a
>>     certain number of retries, it gives up and copies the parent.
>> >
>> > On the other hand, sometimes you don't know that an individual is
>>     valid until you evaluate it. For example, perhaps an individual
>>     based on code will throw an exception. Then you just have to score
>>     that individual as very poor.
>> >
>> > --Rob
>> >
>> > On Mar 9, 2011, at 11:33 AM, Paul Fisher wrote:
>> >
>> >> Hello everyone
>> >>
>> >> This is a plea for help on a general point regarding the genetic
>>     algorithm method (rather than a technical ECJ issue).  I hope my
>>     question makes sense to someone who can point me in the right
>> direction.
>> >>
>> >> Simply put, if you have a large solution space (c.9000 element
>>     matrix) with a set of constraints that make a large proportion of
>>     the possible solutions invalid, how do you treat invalid solutions
>>     generated by the reproduction process to ensure the population is
>>     composed of only (or mostly) valid solutions?  For example, what
>>     happens when you take two good solutions from the initial
>>     population, cross them over and mutate them according to some
>>     standard method, and the result is two solutions which happen to
>>     violate the constraints of the solution space and therefore render
>>     the new solutions invalid?  How can you take two good solutions and
>>     mate them in such a way to produce only valid solutions according to
>>     the problem constraints?
>> >>
>> >> The only way I have known how to treat invalid solutions so far
>>     is to tolerate them in the population but score them out of the
>>     selection process.  The problem with this is that 9 times out of 10
>>     the population will be swamped by these duds and never get going.
>> >>
>> >> Any suggestions please folks?
>> >>
>> >> Thanks
>> >> Paul
>>
>>
>>
>>
>> --
>>
>>
>> --------------------------------------------------
>> J. Alejandro Zepeda Cortés
>> Ing. Civil Informático
>> +56-9-98184077