Local Search Algorithms for the Beam Angles’ Selection Problem in Radiotherapy
Joint Authors
Cabrera, Enrique
Lagos, Carolina
Johnson, Franklin
Rodríguez, Nibaldo
Cabrera-Guerrero, Guillermo
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
One important problem in radiation therapy for cancer treatment is the selection of the set of beam angles radiation will be delivered from.
A primary goal in this problem is to find a beam angle configuration (BAC) that leads to a clinically acceptable treatment plan.
Further, this process must be done within clinically acceptable times.
Since the problem of selecting beam angles in radiation therapy is known to be extremely hard to solve as well as time-consuming, both exact algorithms and population-based heuristics might not be suitable to solve this problem.
In this paper, we compare two matheuristic methods based on local search algorithms, to approximately solve the beam angle optimisation problem (BAO).
Although the steepest descent algorithm is able to find locally optimal BACs for the BAO problem, it takes too long before convergence, which is not acceptable in clinical practice.
Thus, we propose to use a next descent algorithm that converges quickly to good quality solutions although no (local) optimality guarantee is given.
We apply our two matheuristic methods on a prostate case which considers two organs at risk, namely, the rectum and the bladder.
Results show that the matheuristic algorithm based on the next descent local search is able to quickly find solutions as good as the ones found by the steepest descent algorithm.
American Psychological Association (APA)
Cabrera-Guerrero, Guillermo& Rodríguez, Nibaldo& Lagos, Carolina& Cabrera, Enrique& Johnson, Franklin. 2018. Local Search Algorithms for the Beam Angles’ Selection Problem in Radiotherapy. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207781
Modern Language Association (MLA)
Cabrera-Guerrero, Guillermo…[et al.]. Local Search Algorithms for the Beam Angles’ Selection Problem in Radiotherapy. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1207781
American Medical Association (AMA)
Cabrera-Guerrero, Guillermo& Rodríguez, Nibaldo& Lagos, Carolina& Cabrera, Enrique& Johnson, Franklin. Local Search Algorithms for the Beam Angles’ Selection Problem in Radiotherapy. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1207781
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207781