I have a real live problem. Excuse me, if i'm not mathematically correct, I'm a developer, not a mathematician.
Following situation:
I have:
- a given list of events.
eg. each Monday and Wednesday for the next 12 weeks (makes 24 event days). - a given list of persons, with different participation percentages.
eg. person1: 60%, person2: 20%, person3: 10%, person4: 10%
target:
- the events shall be distributed evenly among the persons, so that each event is assigned to one person
Here's an example for 10 events and 4 persons:
difficulties:
- a person may not be available for every calender event (eg he has vacation)
My math lesseon are long time ago, but i think you have to minimize the variance of the distance between the events of a person - for all persons? (i have no clue how to do that)
Would be glad to get some help here, thanks.