Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Speedup of lexicographic optimization by superiorization and its
  applications to cancer radiotherapy treatment   Multicriteria optimization problems occur in many real life applications, for
example in cancer radiotherapy treatment and in particular in intensity
modulated radiation therapy (IMRT). In this work we focus on optimization
problems with multiple objectives that are ranked according to their
importance. We solve these problems numerically by combining lexicographic
optimization with our recently proposed level set scheme, which yields a
sequence of auxiliary convex feasibility problems; solved here via projection
methods. The projection enables us to combine the newly introduced
superiorization methodology with multicriteria optimization methods to speed up
computation while guaranteeing convergence of the optimization. We demonstrate
our scheme with a simple 2D academic example (used in the literature) and also
present results from calculations on four real head neck cases in IMRT
(Radiation Oncology of the Ludwig-Maximilians University, Munich, Germany) for
two different choices of superiorization parameter sets suited to yield fast
convergence for each case individually or robust behavior for all four cases.

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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th