Designing Radiotherapy Plans with Elastic Constraints and Interior Point Methods

Allen Holder

A new linear programming model used to aid in the design of radiotherapy plans is introduced. This model incorporates elastic constraints, and when solved with a path following interior point method, produces favorable plans. A sound mathematical analysis shows how to interpret the solution, and hence, the treatment planner receives meaningful knowledge about the radiotherapy plan being developed. Preliminary experiments are conducted.

Trinity University, Mathematics Technical Report #49