adaptive refinement – Optimization Online

An Integrated Rolling Horizon and Adaptive-Refinement Approach for Disjoint Trajectories Optimization

Published: 2021/10/20, Updated: 2021/11/18

Applications - OR and Management Sciences adaptive refinement, disjoint trajectories, integer programming, optimization, rolling horizon

Planning of trajectories, i.e. paths over time, is a challenging task. Thereby, the trajectories for involved commodities often have to be considered jointly as separation constraints have to be respected. This is for example the case in robot motion or air traffic management. Involving these discrete separation constraints in the planning of best possible continuous … Read more

Multiscale Concepts for Moving Horizon Optimization

Published: 2001/03/19

Applications - Science and Engineering adaptive refinement, dynamic programming, ill--posed problem, iterative solvers, model predictive control, multiscale concept, on--line computation, optimal control, receding horizon estimation, wavelets

In chemical engineering complex dynamic optimization problems formulated on moving horizons have to be solved on-line. In this work, we present a multiscale approach based on wavelets where a hierarchy of successively, adaptively refined problems are constructed.They are solved in the framework of nested iteration as long as the real-time restrictions are fulfilled. To avoid … Read more