I 've been thinking about this: 8puzzle isn't really a planning problem
as you model it, here's the main problem:
a planner move != an 8puzzle move
I 'll call a 8puzzle move "a sliding of a number" from now on, to avoid
confusion.
A perfectly valid planner move would basically move 1 to place and 2 to
place 2 and 3 to place 3.
But the whole point of 8puzzle is to find the sequence of valid 8puzzle
"slidings of a number" to come for a certain problem instance to the
final state.
So if you really want to make 8puzzle work in planner, model it differently:
a possible solution = a sequence of "slidings of a number"
a move = add or remove "slidings", change a "sliding"s direction or
change the order of "slidings"
hard score: if after all the slidings, it's not the perfect endstate:
sum of distance each number still have to slide
soft score: count number of slidings
With kind regards / Met vriendelijke groeten,
Geoffrey De Smet
Op 14-11-10 21:01, Geoffrey De Smet schreef:
See below.
With kind regards / Met vriendelijke groeten,
Geoffrey De Smet
Op 13-11-10 19:33, Anderson Rocha schreef:
> Hi Geoffrey, thanks for your reply.
Overall, 8 puzzle isn't a natural planning problem fit, like bin
packing, employee rostering, freight routing or even n queens.
But it should be possible to solve this with planner.
>
> When I try the tabu search like you suggested, if I use 7 or 5 in the
> move tabu, it ends up with a wrong solution, and if I use 3 or 1, it
> gets into loop. Here is my Drools Planner configuration:
>
> <?xml version="1.0" encoding="UTF-8"?>
>
> <localSearchSolver>
> <environmentMode>DEBUG</environmentMode>
> <scoreDrl>/rules/eightPuzzleScoreRules.drl</scoreDrl>
> <scoreDefinition>
> <scoreDefinitionType>SIMPLE</scoreDefinitionType>
> </scoreDefinition>
> <selector>
>
<moveFactoryClass>solver.move.factory.EightPuzzleMoveFactory</moveFactoryClass>
> </selector>
> <acceptor>
> <completeSolutionTabuSize>1000</completeSolutionTabuSize>
> <completeMoveTabuSize>7</completeMoveTabuSize>
> </acceptor>
> <forager>
> <pickEarlyType>NEVER</pickEarlyType>
> </forager>
> <termination>
> <scoreAttained>0</scoreAttained>
> </termination>
> </localSearchSolver>
>
> I tried out 2 score calculations:
>
> 1- The number of 8Puzzle pieces that are out of place.
that's bad, the score should favouritize solutions closers to the final
solution
> 2- The sum of the number of moves that each 8Puzzle piece that is out
> of place need to do to go to its place. This is calculated with the
> Manhattan Distance (
http://en.wikipedia.org/wiki/Taxicab_geometry).
that's better. But maybe it's even better to double or exponentialize
that distance.
So distance 1 = 1*1 = 1
distance 2 = 2*2 = 4
distance 3 = 3*3 = 9
distance 4 = 4*4 = 16
>
> To simplify the Email, I will tell you how I defined the first score
> calculation. I defined a state as a String, like "6751#2430", where
> the character '#' is the empty space, that I called white space. So,
> the final state should be "01234567#". The moves are:
>
> 1- WhiteUpMove -> from "6751#2430" to "6#5172430"
> 2- WhiteDownMove -> from "6751#2430" to "6751324#0"
> 3- WhiteLeftMove -> from "6751#2430" to "675#12430"
> 4- WhiteRightMove -> from "6751#2430" to "67512#430"
>
> And here are the rules that calculate the score:
>
> rule "0 out of place"
> when
> $p : Puzzle(gameState not matches "0........")
> then
> insertLogical(new UnweightedConstraintOccurrence("0 out of place", $p));
> end
matches uses regex, that's very unoptimal
Don't use a String to represent the gameState of the problem, use new
int[3][3] or even better new NumberEnum[3][3]
>
> rule "1 out of place"
> when
> $p : Puzzle(gameState not matches ".1.......")
> then
> insertLogical(new UnweightedConstraintOccurrence("1 out of place", $p));
> end
>
> rule "2 out of place"
> when
> $p : Puzzle(gameState not matches "..2......")
> then
> insertLogical(new UnweightedConstraintOccurrence("2 out of place", $p));
> end
>
> rule "3 out of place"
> when
> $p : Puzzle(gameState not matches "...3.....")
> then
> insertLogical(new UnweightedConstraintOccurrence("3 out of place", $p));
> end
>
> rule "4 out of place"
> when
> $p : Puzzle(gameState not matches "....4....")
> then
> insertLogical(new UnweightedConstraintOccurrence("4 out of place", $p));
> end
>
> rule "5 out of place"
> when
> $p : Puzzle(gameState not matches ".....5...")
> then
> insertLogical(new UnweightedConstraintOccurrence("5 out of place", $p));
> end
>
> rule "6 out of place"
> when
> $p : Puzzle(gameState not matches "......6..")
> then
> insertLogical(new UnweightedConstraintOccurrence("6 out of place", $p));
> end
>
> rule "7 out of place"
> when
> $p : Puzzle(gameState not matches ".......7.")
> then
> insertLogical(new UnweightedConstraintOccurrence("7 out of place", $p));
> end
>
> rule "# out of place"
> when
> $p : Puzzle(gameState not matches "........#")
> then
> insertLogical(new UnweightedConstraintOccurrence("# out of place", $p));
> end
>
> rule "hardConstraintsBroken"
> when
> $occurrenceCount : Number() from accumulate(
> $unweightedConstraintOccurrence : UnweightedConstraintOccurrence(),
> count($unweightedConstraintOccurrence)
> );
> then
> scoreCalculator.setScore(- $occurrenceCount.intValue());
> end
>
>
> Thanks again,
> Anderson
>
> 2010/11/13, Geoffrey De Smet<ge0ffrey.spam(a)gmail.com>:
>> Hi Anderson,
>>
>> Try a solution tabu of 1000 and combine it a move tabu of 7 (or even a
>> smaller prime number), tweak from there with the benchmarker.
>> How did you define your score function?
>>
>> Op 13-11-10 01:27, Anderson Rocha schreef:
>>> Hi all,
>>>
>>> I am wondering if Drools Planner can handle the 8Puzzle problem. I
>>> once resolved it with the A* search. But I do not know these simulated
>>> annealing and tabu search that Drools Planner implements. So I am
>>> having a "Getting stuck in local optima" problem, and depending on
the
>>> start sollution it gets into loop. But if you enter a really simple
>>> start solution it resolves, because it choose the best scores until
>>> finish with few steps. If some one can help, let me know what I can
>>> send (source code, configuration files) to get some help.
>>>
>>> Thanks,
>>> Anderson
>>>
>>>
>>> _______________________________________________
>>> rules-users mailing list
>>> rules-users(a)lists.jboss.org
>>>
https://lists.jboss.org/mailman/listinfo/rules-users
>>
>> --
>> With kind regards,
>> Geoffrey De Smet
>>
>>
>> _______________________________________________
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>> rules-users(a)lists.jboss.org
>>
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>>
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