Conference Publication Details
Mandatory Fields
Cambazard, H., O'Mahony, E., O'Sullivan, B.
Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems, 6th International Conference, CPAIOR 2009
A Shortest Path-Based Approach to the Multileaf Collimator Sequencing Problem
2009
May
Published
0
Scopus: 6 ()
Optional Fields
41
55
The multileaf collimator sequencing problem is an important component in effective cancer treatment delivery. The problem can be formulated as finding a decomposition of an integer matrix into a weighted sequence of binary matrices whose rows satisfy a consecutive ones property. Minimising the cardinality of the decomposition is an important objective and has been shown to be strongly NP-Hard, even for a matrix restricted to a single row. We show that in this latter case it can be solved efficiently as a shortest path problem, giving a simple proof that the one line problem is fixed-parameter tractable in the maximum intensity. This result was obtained recently by [9] with a complex construction. We develop new linear and constraint programming models exploiting this idea. Our approaches significantly improve the best known for the problem, bringing real-world sized problem instances within reach of complete methods. © 2009 Springer Berlin Heidelberg.
http://www.scopus.com/inward/record.url?eid=2-s2.0-69849116046&partnerID=40&md5=104dbfc34d6e8a365a031384bee006a5
10.1007/978-3-642-01929-6_5
Grant Details