A matheuristic approach to solve the multiobjective beam angle optimization problem in intensity‐modulated radiation therapy

机译：一种解决强度调制放射治疗中多目标光束角度优化问题的数学方法

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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 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‐off 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‐phase strategy. During the first phase, a deterministic local search algorithm is used for selecting 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 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‐phase strategy is applied to a prostate case. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><Abstract XMLNS =“http://www.wiley.com/namespaces/wiley”type =“main”> <标题类型=“main”>抽象</ title> >选择合适的一组光束角是强度调制放射治疗（IMRT）的重要但困难的任务用于癌症治疗。根据一个客观的观点来看，根据一些目标函数，通过找到导致最佳剂量分布的光束角配置（BAC）来解决这一问题，称为光束角度优化（BAO）问题。由于IMRT中的主要目标之间存在权衡（根据某些处方和避免周围健康组织），从多目标（MO）的角度来看，它有意义。在这样做时，BAO问题的解决方案不再是单个BAC，而是一组BAC，其导致一组剂量分布，这取决于剂量处方和医生偏好，可以选择作为优选的处理。我们使用两阶段策略解决这个MO问题。在第一阶段期间，根据单目标函数，用于根据单目标函数来选择确定的本地搜索算法用于选择一组局部最佳BAC。在该搜索期间，使用精确的非线性编程算法计算相对于单目标函数的每个BAC的最佳剂量分布。在第二阶段期间，为每个承诺的局部最佳BAC产生一组非型点，并且在它们之间进行优势分析。该程序的输出是一组（大约）有效的BAC，导致良好的剂量分布。为了证明该方法的可行性，两相策略应用于前列腺案件。</ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-21977/'>《International transactions in operational research: A journal of The International Federation of Operational Research Societies》</a> <b style="margin: 0 2px;">|</b><span>2018年第1期</span><b style="margin: 0 2px;">|</b><span>共26页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Cabrera G. Guillermo&option=202" target="_blank" rel="nofollow">Cabrera G. Guillermo;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Ehrgott Matthias&option=202" target="_blank" rel="nofollow">Ehrgott Matthias;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Mason Andrew J.&option=202" target="_blank" rel="nofollow">Mason Andrew J.;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Raith Andrea&option=202" target="_blank" rel="nofollow">Raith Andrea;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Department of Engineering ScienceUniversity of AucklandAuckland New Zealand;</p> <p>Management SchoolLancaster UniversityLancaster UK;</p> <p>Department of Engineering ScienceUniversity of AucklandAuckland New Zealand;</p> <p>Department of Engineering ScienceUniversity of AucklandAuckland New Zealand;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1144.html" title="运筹学">运筹学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=multiobjective beam angle optimization&option=203" rel="nofollow">multiobjective beam angle optimization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=deterministic local search&option=203" rel="nofollow">deterministic local search;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=mathematical programming&option=203" rel="nofollow">mathematical programming;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=intensity‐modulated radiation therapy&option=203" rel="nofollow">intensity‐modulated radiation therapy;</a> </p> <div class="translation"> 机译：多目标光束角度优化;确定性本地搜索;数学规划;强度调制的放射疗法; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704023093956.html">A matheuristic approach to solve the multiobjective beam angle optimization problem in intensity‐modulated radiation therapy</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Cabrera G. 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