Modeling Disjunctive Constraints via Junction Trees
| dc.contributor.advisor | Hicks, Illya V. | en_US |
| dc.contributor.advisor | Huchette, Joseph A. | en_US |
| dc.creator | Lyu, Bochuan | en_US |
| dc.date.accessioned | 2021-12-22T19:30:01Z | en_US |
| dc.date.available | 2021-12-22T19:30:01Z | en_US |
| dc.date.created | 2022-05 | en_US |
| dc.date.issued | 2021-12-22 | en_US |
| dc.date.submitted | May 2022 | en_US |
| dc.date.updated | 2021-12-22T19:30:01Z | en_US |
| dc.description.abstract | In this thesis, we study the independent-branching (IB) framework of disjunctive constraints and identify a class of pairwise IB-representable disjunctive constraints: disjunctive constraints with junction trees. For this class of constraints, the existence of junction trees can be recognized in polynomial time. We also present a polynomial-time heuristic algorithm for the minimum biclique cover problem on the associated conflict graphs to build small and strong mixed-integer programming (MIP) formulations. Additionally, we apply the heuristic to find a smaller MIP formulation of generalized special ordered set with less variables and constraints than Huchette and Vielma [2019]. In computational experiments, we compare the proposed heuristic with other methods on a large set of artificially generated disjunctive constraints with junction trees. The new method significantly reduces the numbers of binary variables and constraints required for the MIP formulations than those of vertex cover approach. | en_US |
| dc.format.mimetype | application/pdf | en_US |
| dc.identifier.citation | Lyu, Bochuan. "Modeling Disjunctive Constraints via Junction Trees." (2021) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/111896">https://hdl.handle.net/1911/111896</a>. | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/111896 | en_US |
| dc.language.iso | eng | en_US |
| dc.rights | Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. | en_US |
| dc.subject | Mixed-integer Programming | en_US |
| dc.subject | Disjunctive Constraints | en_US |
| dc.subject | Minimum Biclique Cover Problem | en_US |
| dc.title | Modeling Disjunctive Constraints via Junction Trees | en_US |
| dc.type | Thesis | en_US |
| dc.type.material | Text | en_US |
| thesis.degree.department | Computational and Applied Mathematics | en_US |
| thesis.degree.discipline | Engineering | en_US |
| thesis.degree.grantor | Rice University | en_US |
| thesis.degree.level | Masters | en_US |
| thesis.degree.name | Master of Arts | en_US |
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