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- Davaatseren Baatar, Horst W. Hamacher, Matthias Ehrgott, Gerhard J. Woeginger
- Discrete Applied Mathematics
- 2005

In this paper we consider the problem of decomposing an integer matrix into a weighted sum of binary matrices that have the strict consecutive ones property. This problem is motivated by an application in cancer radiotherapy planning, namely the sequencing of multileaf collimators to realize a given intensity matrix. In addition we also mention another… (More)

- Davaatseren Baatar, Natashia Boland, Sebastian Brand, Peter J. Stuckey
- CPAIOR
- 2007

We consider the problem of decomposing an integer matrix into a positively weighted sum of binary matrices that have the consecutive-ones property. This problem is well-known and of practical relevance. It has an important application in cancer radiation therapy treatment planning: the sequencing of multileaf collimators to deliver a given radiation… (More)

- Mohan Krishnamoorthy, Andreas T. Ernst, Davaatseren Baatar
- European Journal of Operational Research
- 2012

- Davaatseren Baatar, Margaret M. Wiecek
- Computers & Mathematics with Applications
- 2006

K e y w o r d s E q u i t a b i l i t y , Pareto efficiency, Multiobjective programming, Preference structure. 1. I N T R O D U C T I O N Traditionally, multiobjective programming (MOP) and multicriteria decision making (MCDM) have been based on the concept of Pareto efficiency (optimality). Yu [1] develops a convexcone theory for modeling preferences in… (More)

- Kate Smith-Miles, Davaatseren Baatar, Brendan Wreford, Rhyd Lewis
- Computers & OR
- 2014

This paper tackles the di cult but important task of objective algorithm performance assessment for optimization. Rather than reporting average performance of algorithms across a set of chosen instances, which may bias conclusions, we propose a methodology to enable the strengths and weaknesses of di erent optimization algorithms to be compared across a… (More)

- Davaatseren Baatar, Natashia Boland, Sebastian Brand, Peter J. Stuckey
- Constraints
- 2010

We consider the problem of decomposing an integer matrix into a positively weighted sum of binary matrices that have the consecutive-ones property. This problem is well-known and of practical relevance. It has an important application in cancer radiation therapy treatment planning: the sequencing of multileaf collimators to deliver a given radiation… (More)

- Kate Smith-Miles, Davaatseren Baatar
- Discrete Applied Mathematics
- 2014

- Davaatseren Baatar, Natashia Boland, Robert Johnston, Horst W. Hamacher
- INFORMS Journal on Computing
- 2009

delivery of cancer radiation treatment using multileaf collimators Davaasteren Baatar, Natashia Boland, Robert Johnston Department of Mathematics and Statistics, The University of Melbourne, Victoria 3010, Australia, {d.baatar@ms.unimelb.edu.au, natashia@unimelb.edu.au, , rj@unimelb.edu.au} Horst W. Hamacher Department of Mathematics, University of… (More)

- Nur Insani, Kate Smith-Miles, Davaatseren Baatar
- 2013 International Conference on Information…
- 2013

The Maximal Independent Set (MIS) formulation tackles the graph coloring problem (GCP) as the partitioning of vertices of a graph into a minimum number of maximal independent sets as each MIS can be assigned a unique color. Mehrotra and Trick [5] solved the MIS formulation with an exact IP approach, but they were restricted to solving smaller or easier… (More)

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