PURPOSE To introduce the concept of energy minimization-based inverse optimization for external beam radiotherapy. MATERIALS AND METHODS Mathematical formulation of energy minimization-based inverse optimization is presented. This mathematical representation is compared to the most commonly used dose-volume based formulation used in inverse optimization. A simple example on digitally created ...

in this work, harmony search meta-heuristic optimization algorithm has been developed for aerodynamic shape optimization problem for the first time. the aerodynamic shape, which has been investigated, is an airfoil with parces method for its shape parameterization. the problem was minimization of aerodynamic objective function using inverse design method and the objective function has been the ...

The theory of convex risk functions has now been well established as the basis for identifying families that should be used in risk-averse optimization problems. Despite its theoretical appeal, implementation a function remains difficult, because there is little guidance regarding how chosen so it also represents decision maker’s subjective preference. In this paper, we address issue through le...

Proposed in this paper is a novel approach to inverse optimization problems by the learning of neural networks. Inverse optimization here means to estimate a positive semide nite quadratic criterion function which optimizes a given solution subject to predetermined constraints. A new network architecture for inverse optimization problems is proposed to simultaneously satisfy the KuhnTucker cond...

A linear time method to decide if any inverse maximum flow (denoted IMFG) problem has solution is presented. For the case of IMFG not being feasible, a new inverse combinatorial optimization problem is introduced and solved. The problem is to modify as little as possible the flow so that the problem becomes feasible for the modified flow. Key–Words: inverse combinatorial optimization, maximum f...