An Accelerated Solution Method for Two-Stage Stochastic Models in Disaster Management

✍ Scribed by Emilia Graß

• Publisher: Springer Fachmedien Wiesbaden,Springer Spektrum
• Year: 2018
• Tongue: English
• Leaves: 168
• Series: Mathematische Optimierung und Wirtschaftsmathematik | Mathematical Optimization and Economathematics
• Edition: 1st ed.
• Category: Library

✦ Synopsis

Emilia Graß develops a solution method which can provide fast and near-optimal solutions to realistic large-scale two-stage stochastic problems in disaster management. The author proposes a specialized interior-point method to accelerate the standard L-shaped algorithm. She shows that the newly developed solution method solves two realistic large-scale case studies for the hurricane prone Gulf and Atlantic coast faster than the standard L-shaped method and a commercial solver. The accelerated solution method enables relief organizations to employ appropriate preparation measures even in the case of short-term disaster warnings.

About the Author
Emilia Graß holds a PhD from the Hamburg University of Technology, Germany. She is currently working as guest researcher on the project cyber security in healthcare at the Centre for Health Policy, Imperial College London, UK. Her scientific focus is on stochastic programming, solution methods, disaster management and healthcare.

✦ Table of Contents

Front Matter ....Pages I-XVII
Introduction (Emilia Graß)....Pages 1-2
Two-Stage Stochastic Programs for Pre-Positioning Problems in Disaster Management (Emilia Graß)....Pages 3-35
Solution Algorithms in Disaster Management (Emilia Graß)....Pages 37-69
Numerical Experiments (Emilia Graß)....Pages 71-106
Conclusion (Emilia Graß)....Pages 107-109
Back Matter ....Pages 111-155

✦ Subjects

Mathematics; Operations Research, Management Science; Calculus of Variations and Optimal Control; Optimization; Computational Mathematics and Numerical Analysis