Generalized Conflict Learning For Hybrid Discrete Linear Optimization
SM thesis
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2010
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| Online Access: | http://hdl.handle.net/1721.1/53718 |
| _version_ | 1826209499357118464 |
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| author | Li, Hui X. |
| author2 | Brian Williams |
| author_facet | Brian Williams Li, Hui X. |
| author_sort | Li, Hui X. |
| collection | MIT |
| description | SM thesis |
| first_indexed | 2024-09-23T14:23:26Z |
| id | mit-1721.1/53718 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T14:23:26Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | mit-1721.1/537182019-04-11T00:37:00Z Generalized Conflict Learning For Hybrid Discrete Linear Optimization Li, Hui X. Brian Williams Model-based Embedded and Robotic Systems Constraint satisfaction Optimization Hybrid systems SM thesis Conflict-directed search algorithms have formed the core of practical, model-based reasoning systems for the last three decades. In many of these applications there is a series of discrete constraint optimization problems and a conflict-directed search algorithm, which uses conflicts in the forward search step to focus search away from known infeasibilities and towards the optimal solution. In the arena of model-based autonomy, discrete systems, like deep space probes, have given way to more agile systems, such as coordinated vehicle control, which must robustly control their continuous dynamics. Controlling these systems requires optimizing over continuous, as well as discrete variables, using linear and non-linear as well as logical constraints. This thesis explores the development of algorithms for solving ybrid discrete/linear optimization problems that use conflicts in the forward search direction, generalizing from the conflict-directed search algorithms of based reasoning. We introduce a novel algorithm called Generalized Conflict-directed Branch and Bound (GCD-BB). GCD-BB extends traditional Branch and Bound (B&B), by first constructing conflicts from nodes of the search tree that are found to be infeasible or sub-optimal, and then by using these conflicts to guide the forward search away from known infeasible and sub-optimal states. We evaluate GCD-BB empirically on a range of test problems of coordinated air vehicle control. GCD-BB demonstrates a substantial improvement in performance compared to a traditional B&B algorithm, applied to either disjunctive linear programs or an equivalent binary integer program encoding. SM 2010-04-15T17:30:04Z 2010-04-15T17:30:04Z 2005-05-20 http://hdl.handle.net/1721.1/53718 Li, H., Generalized Conflict Learning For Hybrid Discrete Linear Optimization, Master's Thesis, MIT, 2005 MIT-CSAIL-TR-2010-017 http://hdl.handle.net/1721.1/32466 76 p. application/pdf |
| spellingShingle | Constraint satisfaction Optimization Hybrid systems Li, Hui X. Generalized Conflict Learning For Hybrid Discrete Linear Optimization |
| title | Generalized Conflict Learning For Hybrid Discrete Linear Optimization |
| title_full | Generalized Conflict Learning For Hybrid Discrete Linear Optimization |
| title_fullStr | Generalized Conflict Learning For Hybrid Discrete Linear Optimization |
| title_full_unstemmed | Generalized Conflict Learning For Hybrid Discrete Linear Optimization |
| title_short | Generalized Conflict Learning For Hybrid Discrete Linear Optimization |
| title_sort | generalized conflict learning for hybrid discrete linear optimization |
| topic | Constraint satisfaction Optimization Hybrid systems |
| url | http://hdl.handle.net/1721.1/53718 |
| work_keys_str_mv | AT lihuix generalizedconflictlearningforhybriddiscretelinearoptimization |