Lexicographic extension of the reference point method applied in radiation therapy treatment planning

DOI10.1016/j.ejor.2017.04.062zbMath1380.90307OpenAlexW2611920573MaRDI QIDQ1695035

Sebastiaan Breedveld, Ben Heijmen, Włodzimierz Ogryczak, Marleen Keijzer, Peter Voet, Rens van Haveren

Publication date: 6 February 2018

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejor.2017.04.062

zbMATH Keywords

multiple objective programmingOR in medicineradiation therapy treatment planninglexicographic reference point methodpartial trade-offs

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Multi-objective and goal programming (90C29) Medical applications (general) (92C50)

Related Items (7)

Learning target-based preferences through additive models: an application in radiotherapy treatment planning ⋮ Objective Selection for Cancer Treatment: An Inverse Optimization Approach ⋮ An interior-point implementation developed and tuned for radiation therapy treatment planning ⋮ Multi-criteria optimization and decision-making in radiotherapy ⋮ Integrating data envelopment analysis into radiotherapy treatment planning for head and neck cancer patients ⋮ Trade-off preservation in inverse multi-objective convex optimization ⋮ Incorporating preferential weights as a benchmark into a sequential reference point method

Uses Software

• ISAAP
• TROTS

Cites Work

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• Multiobjective optimization. Interactive and evolutionary approaches
• On the completeness and constructiveness of parametric characterizations to vector optimization problems
• Nonlinear multiobjective optimization
• Efficient solutions and bounds on tradeoffs
• Interactive specification and analysis of aspiration-based preferences.
• An interior-point implementation developed and tuned for radiation therapy treatment planning
• Reference point method with importance weighted ordered partial achievements
• A mathematical basis for satisficing decision making
• A pareto race
• The stability of lexicographic optimization problems
• Intensity modulated radiotherapy treatment planning by use of a barrier-penalty multiplier method

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