combinatorics - Combinatorial optimization (tell which and how many) -


i have problem given k types of object need assign number of them each of elements of group. instance this:

object types: a, b, c, d  places: 1, 2, 3, 4  simple trial combination:  place | object type | amount ---------------------------- 1     |           |   3 2     |           |   1 3     |      d      |   2 4     |      c      |   5

the evaluation of each combination produces number want minimize.

mainly part confuses me need choose objects list , tell amount of them.

from background i'd try put problem genetic algorithm, wonder if there better suited solve this.

any guidance appreciated.


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