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000856380 019__ $$a1073107914
000856380 020__ $$a9783658240813$$q(electronic book)
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000856380 0247_ $$a10.1007/978-3-658-24081-3$$2doi
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000856380 08204 $$a363.34072/7$$223
000856380 1001_ $$aGrass, Emilia,$$eauthor.
000856380 24513 $$aAn accelerated solution method for two-stage stochastic models in disaster management /$$cEmilia Gra€.
000856380 264_1 $$aWiesbaden, Germany :$$bSpringer Spektrum,$$c2018.
000856380 300__ $$a1 online resource (xvii, 155 pages) :$$billustrations
000856380 336__ $$atext$$btxt$$2rdacontent
000856380 337__ $$acomputer$$bc$$2rdamedia
000856380 338__ $$aonline resource$$bcr$$2rdacarrier
000856380 4901_ $$aMathematische Optimierung und Wirtschaftsmathematik -- Mathematical Optimization and Economathematics,$$x2523-7926
000856380 504__ $$aIncludes bibliographical references.
000856380 5050_ $$aIntro; Summary; Contents; List of Figures; List of Tables; List of Abbreviations; List of Symbols; 1 Introduction; 2 Two-Stage Stochastic Programs for Pre-Positioning Problems in Disaster Management; 2.1 Disaster Management; 2.1.1 Introduction; 2.1.2 Challenges; 2.1.3 Scenario Definition in Disaster Management; 2.2 Quantitative Models in Disaster Management: A Literature Review; 2.2.1 Two-Stage Stochastic Programs; 2.2.2 Pre-Positioning of Relief Items; 2.3 The Rawls and Turnquist [2010] Model; 2.3.1 Problem Description and Mathematical Formulation; 2.3.2 Extensions
000856380 5058_ $$a3 Solution Algorithms in Disaster Management3.1 Solution Methods in Disaster Management: A Literature Review; 3.1.1 Exact Methods; 3.1.2 Heuristics; 3.2 Two-Stage Stochastic Programming; 3.2.1 Introduction; 3.2.2 The L-Shaped Method; 3.3 The Accelerated L-Shaped Method; 3.3.1 The Basic Idea; 3.3.2 Assumptions; 3.3.3 Specialized Primal-Dual Interior-Point Method; 4 Numerical Experiments; 4.1 Realistic Large-Scale Case Study; 4.1.1 Data; 4.1.2 Technical Specifications; 4.1.3 Computational Results; 4.2 Case Study Based on a Hurricane Forecast; 4.2.1 Data; 4.2.2 Computational Results; 4.3 Outlook
000856380 5058_ $$a5 ConclusionBibliography; A Appendix; A.1 The Recourse Function: An Example; A.2 Newton's Method for Systems of Non-Linear Equations; A.3 Interior-Point Method: Proof of Convergence; A.4 Matlab Code: L-Shaped Method with Multi-Optimality Cuts; A.5 Matlab Code: SIMP; A.6 Gurobi Log Files; A.6.1 Small-Scale Case Study; A.6.2 Medium-Scale Case Study; A.6.3 Large-Scale Case Study; A.6.4 Katrina Case Study
000856380 506__ $$aAccess limited to authorized users.
000856380 520__ $$aEmilia Gra€ develops a solution method which can provide fast and near-optimal solutions to realistic large-scale two-stage stochastic problems in disaster management. The author proposes a specialized interior-point method to accelerate the standard L-shaped algorithm. She shows that the newly developed solution method solves two realistic large-scale case studies for the hurricane prone Gulf and Atlantic coast faster than the standard L-shaped method and a commercial solver. The accelerated solution method enables relief organizations to employ appropriate preparation measures even in the case of short-term disaster warnings. Contents Quantitative Optimization Models in Disaster Management: A Literature Review Solution Methods in Disaster Management: A Literature Review The Accelerated L-Shaped Method Case Study Design Numerical Experiments and Analysis Target Groups Scientist and students in the fields of operations research, optimization and numerical algorithms Practitioners working in charities and NGOs About the Author Emilia Gra€ holds a PhD from the Hamburg University of Technology, Germany. She is currently working as guest researcher on the project cyber security in healthcare at the Centre for Health Policy, Imperial College London, UK. Her scientific focus is on stochastic programming, solution methods, disaster management and healthcare.--$$cProvided by publisher.
000856380 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 9, 2018).
000856380 650_0 $$aNatural disasters$$xStatistical methods.
000856380 650_0 $$aStochastic processes.
000856380 77608 $$iPrint version: $$z3658240806$$z9783658240806$$w(OCoLC)1055831127
000856380 830_0 $$aMathematische Optimierung und Wirtschaftsmathematik,$$x2523-7926
000856380 852__ $$bebk
000856380 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-658-24081-3$$zOnline Access$$91397441.1
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