Constraint-based Local Search for Constrained Optimum Paths Problems

Pham, Quang Dung;Deville, Yves;Van Hentenryck, Pascal
(2010) Integration of AI and OR Techniques in Constraint Programming for Cominatorial Optimization Problems. 7th International Conference, CPAIOR 2010 — Location: Bologna, Italy (14.June.2010)

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Authors
  • Pham, Quang DungUCLouvain
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  • Deville, Yvesorcid-logoUCLouvain
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  • Van Hentenryck, PascalBrown University
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Abstract
Constrained Optimum Path (COP) problems arise in many real-life applications and are ubiquitous in communication networks. They have been traditionally approached by dedicated algorithms, which are often hard to extend with side constraints and to apply widely. This paper proposes a constraint-based local search (CBLS) framework for COP applications, bringing the compositionality, reuse, and extensibility at the core of CBLS and CP systems. The modeling contribution is the ability to express compositional models for various COP applications at a high level of abstraction, while cleanly separating the model and the search procedure. The main technical contribution is a connected neighborhood based on rooted spanning trees to find high-quality solutions to COP problems. The framework, implemented in COMET, is applied to Resource Constrained Shortest Path (RCSP) problems (with and without side constraints) and to the edge-disjoint paths problem (EDP). Computational results show the potential significance of the approach.
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Pham, Q. D., Deville, Y., & Van Hentenryck, P. (2010). Constraint-based Local Search for Constrained Optimum Paths Problems. In Lodi, A.; Milano, M.; Toth, P.; (ed.), Integration of AI and OR Techniques in Constraint Programming for Cominatorial Optimization Problems. 7th International Conference, CPAIOR 2010 (p. p. 234-248). Springer. https://hdl.handle.net/2078.5/253840