Combined mathematical programming and heuristics for a radiotherapy pre-treatment scheduling problem |
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Authors: | Elkin Castro Sanja Petrovic |
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Affiliation: | (1) School of Computer Science and Industrial Engineering, Yonsei University, 120-749 Seoul, Republic of Korea;(2) Dept of Industrial Engineering, Texas A&M University, College Station, Texas, 77343-3367 (117H), USA; |
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Abstract: | Demand for radiotherapy treatment services has increased due to higher cancer incidence, ageing population, and a larger number of prescribed radiotherapy fractions. This higher demand can, in turn, produce longer waiting times for radiotherapy treatment. We introduce a real-world radiotherapy pre-treatment scheduling problem at a hospital in the UK. This scheduling problem is modelled as an optimisation problem with multiple objectives. The objectives are hierarchical, thus the solution approach is based on solving a series of single-objective optimisation scheduling problems. Each of these problems is formulated as a mathematical programming model. Dispatching rules were introduced to produce an initial solution for the mathematical programming model. Their performance is compared to the mathematical programming approach. |
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