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A parallel optimisation approach for the realisation problem in intensity modulated radiotherapy treatment planning

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  • Luke Mason
  • Vicky Mak-Hau
  • Andreas Ernst

Abstract

We propose a parallel algorithm for computing exact solutions to the problem of minimizing the number of multileaf collimator apertures needed in step-and-shoot intensity modulated radiotherapy. These problems are very challenging particularly as the problem size increases. Here, we investigate how advanced parallel computing methods can be applied to these problems with a focus on the issues that are peculiar to parallel search algorithms and do not arise in their serial counterparts. A previous paper by the authors presented the MU–RD method for solving such problems using a serial constraint programming based search method. This method is being used as the starting point for a parallel implementation. The key challenges in creating a parallel implementation are ensuring that the CPUs are not starved of work and avoiding unnecessary computation due to the rearrangement of the search order in the parallel version. We show that efficient parallel optimisation is possible by dynamically changing the way work is split with potentially multiple tree search processes as well as parallel search of nodes. A weakly sorted queueing system is used to ensure appropriate prioritisation of tasks. Numerical results are presented to demonstrate the effectiveness of our algorithms in scaling from 8 to 64 CPUs. Copyright Springer Science+Business Media New York 2015

Suggested Citation

  • Luke Mason & Vicky Mak-Hau & Andreas Ernst, 2015. "A parallel optimisation approach for the realisation problem in intensity modulated radiotherapy treatment planning," Computational Optimization and Applications, Springer, vol. 60(2), pages 441-477, March.
    • Handle: RePEc:spr:coopap:v:60:y:2015:i:2:p:441-477
    DOI: 10.1007/s10589-014-9670-z
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    References listed on IDEAS

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    1. Matthias Ehrgott & Horst W. Hamacher & Marc Nußbaum, 2008. "Decomposition of matrices and static multileaf collimators: a survey," Springer Optimization and Its Applications, in: Carlos J. S. Alves & Panos M. Pardalos & Luis Nunes Vicente (ed.), Optimization in Medicine, pages 25-46, Springer.
    2. Z. Caner Taşkın & J. Cole Smith & H. Edwin Romeijn & James F. Dempsey, 2010. "Optimal Multileaf Collimator Leaf Sequencing in IMRT Treatment Planning," Operations Research, INFORMS, vol. 58(3), pages 674-690, June.
    3. Matteo Fischetti & Michele Monaci, 2014. "Exploiting Erraticism in Search," Operations Research, INFORMS, vol. 62(1), pages 114-122, February.
    4. Allen Holder & Bill Salter, 2005. "A Tutorial on Radiation Oncology and Optimization," International Series in Operations Research & Management Science, in: H J. G (ed.), Tutorials on Emerging Methodologies and Applications in Operations Research, chapter 0, pages 4-1-4-45, Springer.
    5. Davaatseren Baatar & Natashia Boland & Robert Johnston & Horst W. Hamacher, 2009. "A New Sequential Extraction Heuristic for Optimizing the Delivery of Cancer Radiation Treatment Using Multileaf Collimators," INFORMS Journal on Computing, INFORMS, vol. 21(2), pages 224-241, May.
    6. Andreas T. Ernst & Vicky H. Mak & Luke R. Mason, 2009. "An Exact Method for the Minimum Cardinality Problem in the Treatment Planning of Intensity-Modulated Radiotherapy," INFORMS Journal on Computing, INFORMS, vol. 21(4), pages 562-574, November.
    7. Thorsten Koch & Ted Ralphs & Yuji Shinano, 2012. "Could we use a million cores to solve an integer program?," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 76(1), pages 67-93, August.
    8. Matthias Ehrgott & Çiğdem Güler & Horst Hamacher & Lizhen Shao, 2010. "Mathematical optimization in intensity modulated radiation therapy," Annals of Operations Research, Springer, vol. 175(1), pages 309-365, March.
    9. L R Mason & V H Mak-Hau & A T Ernst, 2012. "An exact method for minimizing the total treatment time in intensity-modulated radiotherapy," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(10), pages 1447-1456, October.
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    Cited by:

    1. Dursun, Pınar & Taşkın, Z. Caner & Altınel, İ. Kuban, 2019. "The determination of optimal treatment plans for Volumetric Modulated Arc Therapy (VMAT)," European Journal of Operational Research, Elsevier, vol. 272(1), pages 372-388.

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