Benders decomposition is a solution method for solving certain large-scale optimization
problems. Instead of considering all decision variables and constraints of a large-scale …

We consider the problem of decomposing Intensity Modulated Radiation Therapy (IMRT)
fluence maps using rectangular apertures. A fluence map can be represented as an integer …

Benders' decomposition is an important tool used to solve large-scale optimization problems
found in healthcare. Radiation therapy and operating room planning and scheduling are two …

We consider the problem of identifying the induced star with the largest cardinality open
neighborhood in a graph. This problem, also known as the star degree centrality (SDC) …

Collimator systems used in Intensity Modulated Radiation Therapy can form different
geometric aperture shapes depending on their physical capabilities. We compare the …

Stereotactic body radiation therapy (SBRT) is characterized by delivering a high amount of
dose in a short period of time. In SBRT the dose is delivered using open fields (eg, beam's …

In radiation therapy, the main challenge is to deliver the dose to the tumor while sparing
healthy tissues around the tumor. One important decision to make is the beam configuration …

In radiation therapy, mathematical methods have been used for optimizing treatment
planning for delivery of sufficient dose to the cancerous cells while keeping the dose to …

In this dissertation, we present new classes of network optimization models and algorithms,
including heuristics and decomposition-based methods, to solve them. Overall, our …

Beam-on time is an important measure of the delivery efficiency in intensity-modulated
radiation therapy (IMRT). Traditionally, minimizing beam-on time has been postponed until …