{"type":"ScholarlyArticle","title":"On the Complexity of Global Scheduling Constraints under Structural Restrictions","authors":[{"name":"Geoffrey Chu","slug":"geoffrey-chu","given":"Geoffrey","family":"Chu","affiliation":""},{"name":"Serge Gaspers","slug":"serge-gaspers","given":"Serge","family":"Gaspers","affiliation":""},{"name":"Nina Narodytska","slug":"nina-narodytska","given":"Nina","family":"Narodytska","affiliation":""},{"name":"Andreas Schutt","slug":"andreas-schutt","given":"Andreas","family":"Schutt","affiliation":""},{"name":"Toby Walsh","slug":"toby-walsh","given":"Toby","family":"Walsh","affiliation":""}],"abstract":"We investigate the computational complexity of two global constraints, CUMULATIVE and INTERDISTANCE. These are key constraints in modeling and solving scheduling problems. Enforcing domain consistency on both is NP-hard. However, restricted versions of these constraints are often sufficient in practice. Some examples include scheduling problems with a large number of similar tasks, or tasks sparsely distributed over time. Another example is runway sequencing problems in air-traffic control, where landing periods have a regular pattern. Such cases can be characterized in terms of structural restrictions on the constraints. We identify a number of such structural restrictions and investigate how they impact the computational complexity of propagating these global constraints. In particular, we prove that such restrictions often make propagation tractable.","doi":null,"url":"https://ijcai.org/proceedings/2013/81","pdf":"https://ijcai.org/proceedings/2013/0081.pdf","markdown":"https://ijcai.org/proceedings/2013/81.md","bibtex":"https://ijcai.org/proceedings/2013/bibtex/81","volume":{"slug":"2013","title":"Proceedings of the Twenty-Third International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2013","url":"https://ijcai.org/proceedings/2013/","year":2013,"location":"Beijing, China","dates":"3–9 August 2013","editors":"Francesca Rossi","isbn":"978-1-57735-633-2","publisher":"AAAI Press / International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":null,"track":"","number":81,"pages":{"first":503,"last":508},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}