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From a single objective point of view, this problem, known as the beam angle optimization (BAO) problem, is solved by finding a beam angle configuration (BAC) that leads to the best dose distribution, according to some objective function. As there exists a trade\u2010off between the main goals in IMRT (to irradiate the tumor according to some prescription and to avoid surrounding healthy tissue), it makes sense to solve this problem from a multiobjective (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 that 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\u2010phase strategy. During the first phase, a deterministic local search algorithm is used for selecting a set of locally optimal BACs, according to a single\u2010objective function. During this search, an optimal dose distribution for each BAC, with respect to the single\u2010objective function, is calculated using an exact nonlinear programming algorithm. During the second phase, a set of nondominated 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\u2010phase strategy is applied to a prostate case.<\/jats:p>","DOI":"10.1111\/itor.12241","type":"journal-article","created":{"date-parts":[[2016,1,13]],"date-time":"2016-01-13T13:39:56Z","timestamp":1452692396000},"page":"243-268","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":30,"title":["A matheuristic approach to solve the multiobjective beam angle optimization problem in intensity\u2010modulated radiation therapy"],"prefix":"10.1111","volume":"25","author":[{"given":"Guillermo","family":"Cabrera G.","sequence":"first","affiliation":[{"name":"Department of Engineering Science University of Auckland Auckland New Zealand"},{"name":"Escuela de Ingenier\u00eda Inform\u00e1tica Pontificia Universidad Cat\u00f3lica de Valpara\u00edso Valpara\u00edso Chile"}]},{"given":"Matthias","family":"Ehrgott","sequence":"additional","affiliation":[{"name":"Management School Lancaster University Lancaster UK"}]},{"given":"Andrew J.","family":"Mason","sequence":"additional","affiliation":[{"name":"Department of Engineering Science University of Auckland Auckland New Zealand"}]},{"given":"Andrea","family":"Raith","sequence":"additional","affiliation":[{"name":"Department of Engineering Science University of Auckland Auckland New Zealand"}]}],"member":"311","published-online":{"date-parts":[[2016,1,12]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-008-9286-x"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0360-3016(01)02586-X"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.endm.2010.05.017"},{"key":"e_1_2_7_5_1","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/57\/20\/6707"},{"key":"e_1_2_7_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cor.2012.06.009"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/38\/2\/006"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/54\/23\/011"},{"key":"e_1_2_7_9_1","doi-asserted-by":"publisher","DOI":"10.1088\/0031-9155\/52\/20\/016"},{"key":"e_1_2_7_10_1","doi-asserted-by":"publisher","DOI":"10.1118\/1.3676689"},{"key":"e_1_2_7_11_1","unstructured":"Cabrera G. 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