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CPAIOR
2010
Springer
13 years 8 months ago
Hybrid Methods for the Multileaf Collimator Sequencing Problem
Abstract. The multileaf collimator sequencing problem is an important component of the effective delivery of intensity modulated radiotherapy used in the treatment of cancer. The p...
Hadrien Cambazard, Eoin O'Mahony, Barry O'Sullivan
CPAIOR
2009
Springer
13 years 11 months ago
A Shortest Path-Based Approach to the Multileaf Collimator Sequencing Problem
Abstract. The multileaf collimator sequencing problem is an important component in effective cancer treatment delivery. The problem can be formulated as finding a decomposition of...
Hadrien Cambazard, Eoin O'Mahony, Barry O'Sullivan
COLOGNETWENTE
2008
13 years 6 months ago
Constrained Decompositions of Integer Matrices and their Applications to Intensity Modulated Radiation Therapy
We consider combinatorial optimization problems arising in radiation therapy. Given a matrix I with non-negative integer entries, we seek for a decomposition of I as a weighted su...
Céline Engelbeen, Samuel Fiorini
DISOPT
2006
155views more  DISOPT 2006»
13 years 5 months ago
Cyclical scheduling and multi-shift scheduling: Complexity and approximation algorithms
We consider the multiple shift scheduling problem modelled as a covering problem. Such problems are characterized by a constraint matrix that has in every column blocks of consecu...
Dorit S. Hochbaum, Asaf Levin
SAC
2009
ACM
13 years 12 months ago
The sum-of-increments constraint in the consecutive-ones matrix decomposition problem
The combinatorial problem of decomposing an integer matrix into a small positive linear combination of binary matrices that have the consecutive-ones property arises in cancer rad...
Sebastian Brand