JuliaConstraints / JuliaConstraints/ConstraintProgrammingExtensions.jl
AllDifferent to MILP: other formulations
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Description
Another formulation is https://www.andrew.cmu.edu/user/vanhoeve/papers/alldiff.pdf (section 6, page 35), without big-M; https://link.springer.com/article/10.1023/A:1014804110661 also has many formulations, with either a lot of variables or fewer.
However, this does not enlarge the set of features of this package, implementing other formulations may only improve the runtime performance. There should be a numerical study to give weights to the various bridges.
Contributor guide
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First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Read section 6 on page 35 of the linked AllDifferent formulation paper, then compare it with the formulations in the Springer paper and the package’s existing AllDifferent-to-MILP bridge. Define a numerical study across the available formulations and report weights or runtime results that show when each formulation is preferable.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- julia
- Domain
- tooling
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 25/100