On a cellular developmental method for layout optimization via the two-point topological derivative

Derivative-Free Optimization Via Proximal Point Methods

Derivative-Free Optimization (DFO) examines the challenge of minimizing (or maximizing) a function without explicit use of derivative information. Many standard techniques in DFO are based on using model functions to approximate the objective function, and then applying classic optimization methods on the model function. For example, the details behind adapting steepest descent, conjugate gradi...

Computational Method for Cryoprobe-Layout Optimization via Finite Sphere Packing

............................................................................................................................. ii Acknowledgements........................................................................................................... iii List of Figures ................................................................................................................... vi List ...

A New Optimization via Invasive Weeds Algorithm for Dynamic Facility Layout Problem

The dynamic facility layout problem (DFLP) is the problem of finding positions of departments onthe plant floor for multiple periods (material flows between departments change during the planning horizon)such that departments do not overlap, and the sum of the material handling and rearrangement costs isminimized. In this paper a new optimization algorithm inspired from colonizing weeds, Invasi...

A Geometry Projection and Optimality Criterion Method for Topology Optimization using the Topological Derivative

1 Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A. Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, U.S.A. Department of Mechanical and Industrial Engineering and Department of Theoretical and Applied Mechanics, University of Illinois at Urbana-Champaign, Urbana...

Image Restoration via Topological Derivative