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    Rights statement: This is the peer reviewed version of the following article: Cabrera G., G., Ehrgott, M., Mason, A. J. and Raith, A. (2018), A matheuristic approach to solve the multiobjective beam angle optimization problem in intensity-modulated radiation therapy. Intl. Trans. in Op. Res., 25: 243–268. doi:10.1111/itor.12241 which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1111/itor.12241/abstract This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.

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A matheuristic approach to solve the multi-objective beam angle optimisation problem in intensity modulated radiation therapy

Research output: Contribution to journalJournal article

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<mark>Journal publication date</mark>01/2018
<mark>Journal</mark>International Transactions in Operational Research
Issue number1
Volume25
Number of pages26
Pages (from-to)243-268
StatePublished
Early online date12/01/16
Original languageEnglish

Abstract

Selecting a suitable set of beam angles is an important but difficult task in intensity modulated radiation therapy (IMRT) for cancer treatment. From a single objective point of view this problem, known as beam angle optimisation (BAO) problem, is solved by finding a beam angle configuration (BAC) that leads to the best dose distribution, according to some objective function. Because there exists a trade-off between the main goals in IMRT (to irradiate the tumour according to some prescription and to avoid surrounding healthy tissue) it makes sense to solve this problem from a multi-objective (MO) point of view. When doing so, a solution of the BAO problem is no longer a single BAC but instead a set of BACs which lead to a set of dose distributions that, depending on both dose prescription and physician preferences, can be selected as the
preferred treatment.
We solve this MO problem using a two-phase strategy. During the first phase, a deterministic local search algorithm is used to select a set of locally optimal BACs, according to a single objective function. During this search, an optimal dose distribution for each BAC, with respect to the single objective function, is calculated using an exact non-linear programming algorithm. During the second phase a set of non-dominated points is generated for each promising locally optimal BAC and a dominance analysis among them is performed. The output of the procedure is a set of (approximately) efficient BACs that lead to good dose distributions. To demonstrate the viability of the method, the two-phase strategy is applied to a prostate case.

Bibliographic note

This is the peer reviewed version of the following article: Cabrera G., G., Ehrgott, M., Mason, A. J. and Raith, A. (2018), A matheuristic approach to solve the multiobjective beam angle optimization problem in intensity-modulated radiation therapy. Intl. Trans. in Op. Res., 25: 243–268. doi:10.1111/itor.12241 which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1111/itor.12241/abstract This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.