{"type":"ScholarlyArticle","title":"A Branch-and-Price Algorithm for Scheduling Observations on a Telescope","authors":[{"name":"Nicolas Catusse","slug":"nicolas-catusse","given":"Nicolas","family":"Catusse","affiliation":""},{"name":"Hadrien Cambazard","slug":"hadrien-cambazard","given":"Hadrien","family":"Cambazard","affiliation":""},{"name":"Nadia Brauner","slug":"nadia-brauner","given":"Nadia","family":"Brauner","affiliation":""},{"name":"Pierre Lemaire","slug":"pierre-lemaire","given":"Pierre","family":"Lemaire","affiliation":""},{"name":"Bernard Penz","slug":"bernard-penz","given":"Bernard","family":"Penz","affiliation":""},{"name":"Anne-Marie Lagrange","slug":"anne-marie-lagrange","given":"Anne-Marie","family":"Lagrange","affiliation":""},{"name":"Pascal Rubini","slug":"pascal-rubini","given":"Pascal","family":"Rubini","affiliation":""}],"abstract":"We address a parallel machine scheduling problem for which the objective is to maximize the weighted number of scheduled tasks, and with the special constraint that each task has a mandatory processing instant. This problem arises, in our case, to schedule a set of astronomical observations on a telescope. We prove that the problem is NP-complete, and we propose a constraint- programming-based branch-and-price algorithm to solve it. Experiments on real and realistic datasets show that the method provides optimal solutions very efficiently.","doi":null,"url":"https://ijcai.org/proceedings/2016/434","pdf":"https://ijcai.org/proceedings/2016/0434.pdf","markdown":"https://ijcai.org/proceedings/2016/434.md","bibtex":"https://ijcai.org/proceedings/2016/bibtex/434","volume":{"slug":"2016","title":"Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2016","url":"https://ijcai.org/proceedings/2016/","year":2016,"location":"New York, NY, USA","dates":"9–15 July 2016","editors":"Subbarao Kambhampati","isbn":"978-1-57735-770-4; 978-1-57735-771-1","publisher":"AAAI Press / International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":null,"track":"","number":434,"pages":{"first":3060,"last":3065},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}