Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robust fractionation in cancer radiotherapy   In cancer radiotherapy, the standard formulation of the optimal fractionation
problem based on the linear-quadratic dose-response model is a non-convex
quadratically constrained quadratic program (QCQP). An optimal solution for
this QCQP can be derived by solving a two-variable linear program. Feasibility
of this solution, however, crucially depends on the so-called alphaover-beta
ratios for the organs-at-risk, whose true values are unknown. Consequently, the
dosing schedule presumed optimal, in fact, may not even be feasible in
practice. We address this by proposing a robust counterpart of the nominal
formulation. We show that a robust solution can be derived by solving a small
number of two-variable linear programs, each with a small number of
constraints. We quantify the price of robustness, and compare the incidence and
extent of infeasibility of the nominal and robust solutions via numerical
experiments.

12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn