Applying interior points methods for the radiotherapyplanning problem in a fuzzy approach background

Autores

  • Jackeline del Carmen Huaccha Neyra UNICAMP
  • Aurelio Ribeiro Leite de Oliveira IMECC/UNICAMP

DOI:

https://doi.org/10.5540/03.2021.008.01.0373

Palavras-chave:

nterior Point Methods, Radiation Therapy, Fuzzy Optimization

Resumo

Radiation Therapy Design Problem consists in minimize the total radiation dosageat the patient. In this work, the dosage values are represented by fuzzy numbers. The transitionfrom healthy tissue to tumour cells is continuous and the surprise function is adopted to model it.We propose to solve this problem by a specially tailored Primal-Dual Interior Point Method andpresent numerical experiments with real world large-scale problems.

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Referências

Breedveld, S. and Heijmen, B. TROTS - The Radiotherapy Optimisation TestSetA.https://www.erasmusmc.nl/en/cancer-institute/research/projects/trots-the-radiotherapy-optimisation-test-set

Breedveld, S., van den Berg, B. and Heijmen, B. An interior-point implementation devel-oped and tuned for radiation therapy treatment planning,Computational Optimization andApplications, 68:209–242, 2017. DOI: 10.1007/s10589-017-9919-4.

Jamison, K. D. and Lodwick, W. A. Fuzzy linear programming using penalty methods,FuzzySets and Systems, 119(1):97–110, 2001. DOI: 10.1016/S0165-0114(99)00082-2.

Lodwick, W. A. and Bachman, K. A. Solving large-scale fuzzy and possibilistic optimizationproblems,Fuzzy Optimization and Decision Making, 4:257–278, 2005. DOI: 10.1007/s10700-005-3663-4.

Lodwick W. A., Neumaier A. and Newman F. Optimization Under Uncertainty Methods andApplications in Radiation Therapy,Proceedings 10th IEEE International Conference on FuzzySystems,3:1219–1222, 2001.

Neumaier, A. Fuzzy modeling in terms of surprise,Fuzzy Sets and Systems, 1(135): 21–38,2003. DOI: 10.1016/S0165-0114(02)00248-8.

Tanaka, H. and Assai, K. Fuzzy linear programming based on fuzzy functions,IFAC Proceed-ings Volumes, 14(2):785–790, 1981. DOI: 10.1016/S1474-6670(17)63578-X.

Tanaka, H. and Assai, K. Fuzzy linear programming problems with fuzzy numbers,Fuzzy Setsand Systems, 13(1):1–10, 1984. DOI: 10.1016/0165-0114(84)90022-8.

Zadeh L. A. Fuzzy sets,Information and Control,8(3):338–353, 1965. DOI: 10.1016/S0019-9958(65)90241-X

Zimmermann, H. -J. Fuzzy programming and linear programming with several objective func-tions,Fuzzy Sets and Systems, 1(1):45–55, 1978. DOI: 10.1016/0165-0114(78)90031-3.

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Publicado

2021-12-20

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