Pareto front approximation

Exploring polynomial models in the Search Step of Direct Multisearch

Categories Multi-Criteria Optimization, Nonlinear Optimization Tags , , , ,

Direct Multisearch (DMS) is a class of direct-search algorithms designed for multiobjective derivative-free optimization. Its framework consists of an optional search step and a poll step, the latter ensuring the corresponding theoretical convergence properties. Recently, a search strategy based on the minimization of quadratic polynomial models, constructed from previously evaluated points, was proposed to improve … Read more

Bi-level multi-criteria optimization to include linear energy transfer into proton treatment planning

Categories Biomedical Applications, Multi-Criteria Optimization, Nonlinear Optimization Tags , , , ,

In proton therapy treatment planning, the aim is to ensure tumor control while sparing the various surrounding risk structures. The biological effect of the irradiation depends on both physical dose and linear energy transfer (LET). In order to include LET alongside physical dose in plan creation, we propose to formulate the proton treatment planning problem … Read more