Set Covering Algorithm

asked 2017-09-09 01:02:27 +0200

Antonio
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Is there a Sage implementation of the Set Covering Algorithm?

Thanks in advance

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Could you provide a reference to the "Set Covering Algorithm" you mention?

slelievre ( 2017-09-09 05:46:22 +0200 )edit

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answered 2017-09-09 11:05:49 +0200

tmonteil
27323 ●31 ●202 ●514 http://wiki.sagemath.o...

I guess you speak about the "set cover problem", which is a well known NP-hard problem (Karp). Sage does not have this though it could be added as a method of IncidenceStructure.

You can however code it yourself :

look at the MixedIntegerProgramming examples and tutorial
note that sets are not hashable, so a MIP variable could not be indexed by sets. However, if your sets belong to a list, you just have to index them by their position in the list.

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Maybe another option is to index variables by the sorted tuple representing the set?

fidbc ( 2017-09-10 04:43:48 +0200 )edit

Thanks, I'm aware of the fact that the set cover problem is NP hard but so is the TSP and Sage has a method for solving these type of problems.

Antonio ( 2017-09-11 15:34:29 +0200 )edit

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