Multiobjective navigation of external radiotherapy plans based on clinical criteria Kuan-Min Lin *1 and Matthias Ehrgott 2 1 km.lin@auckland.ac.nz, University of Auckland 2 m.ehrgott@lancaster.ac.uk, Lancaster University August 7, 2017 Abstract This study considers a navigation method for finding the most preferable radiotherapy plan from a discrete set using planner-defined clinical criteria. The method is based on repeatedly solving an optimisation model to iden- tify a plan that best satisfies the aspiration values set by the planner. During navigation, the planner iteratively adjusts the aspiration values to match the preference information learned from previous plans until the most preferable plan is identified. The use of soft constraints to model aspiration values en- ables navigation among a discrete set and allows the planner to freely specify the aspiration values without producing an infeasible model. We demon- strate the use of the model by applying it to a prostate cancer case. This illustrates that improvements in optimisation criteria do not necessarily lead to improvements in clinical criteria. Hence the method obviates the need to simultaneously monitor both optimisation and clinical criteria in current nav- igation systems. Instead, the direct use of clinical criteria for navigation aids the planner to quickly identify the most preferable plan. KEY WORDS: Multiobjective decision making, interactive multiobjective opti- misation, navigation, data envelopment analysis * Corresponding author; Address: Level 3, Uniservices House 70 Symonds Street, Auckland; Phone: +64 9 373 7599; Fax: +64 9 373 7468 1