Introduction Radiotherapy with small fields is used widely in newly developed techniques. Additionally, dose calculation accuracy of treatment planning systems in small fields plays a crucial role in treatment outcome. In the present study, dose calculation accuracy of two commercial treatment planning systems was evaluated against Monte Carlo method. Materials and Methods Siemens Once or linea...

In this paper, we focus on hierarchical multiobjective linear programming problems where multiple decision makers in a hierarchical organization have their own multiple objective linear functions together with common linear constraints, and propose an interactive decision making method to obtain a satisfactory solution which reflects not only the hierarchical relationships between multiple deci...

Instructor: Dieter van Melkebeek This lecture covers the notion of a linear program, its dual, and the relationship between the two. We give some examples and survey known algorithms. A linear program (LP) is the problem of optimizing (maximizing or minimizing) a linear multivariate objective function over the reals under linear equality and inequality (≤) constraints.

Recursive partitioning algorithms separate a feature space into a set of disjoint rectangles. Then, usually, a constant in every partition is fitted. While this is a simple and intuitive approach, it may still lack interpretability as to how a specific relationship between dependent and independent variables may look. Or it may be that a certain model is assumed or of interest and there is a nu...