TY - INPR
A1 - Baatar, Davaasteren
A1 - Boland, Natashia
A1 - Johnston, Robert
A1 - Hamacher, Horst W.
T1 - A new sequential extraction heuristic for optimising the delivery of cancer radiation treatment using multileaf collimators
N2 - Finding a delivery plan for cancer radiation treatment using multileaf collimators operating in ''step-and-shoot mode'' can be formulated mathematically as a problem of decomposing an integer matrix into a weighted sum of binary matrices having the consecutive-ones property - and sometimes other properties related to the collimator technology. The efficiency of the delivery plan is measured by both the sum of weights in the decomposition, known as the total beam-on time, and the number of different binary matrices appearing in it, referred to as the cardinality, the latter being closely related to the set-up time of the treatment. In practice, the total beam-on time is usually restricted to its minimum possible value, (which is easy to find), and a decomposition that minimises cardinality (subject to this restriction) is sought.
T3 - Report in Wirtschaftsmathematik (WIMA Report) - 113
KW - matrix decomposition
KW - multiliead collimator sequencing
KW - cancer radiation therapy
Y1 - 2008
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1930
UR - https://nbn-resolving.org/urn:nbn:de:hbz:386-kluedo-15177
ER -