基本信息
浏览量:11
职业迁徙
个人简介
Main Research Areas:
My main research areas are optimization, discrete mathematics, and operations research. I am particularly interested in integer programming and the geometric approach to combinatorial optimization problems (polyhedral combinatorics, convex geometry, cutting plane algorithms, branch&cut methods). On the combinatorial side, graph and matroid theory come into play here. Specific combinatorial optimization problems I have worked on are the travelling salesman problem, the max-cut problem, the stable set problem and perfect graphs, the linear ordering problem, clustering, routing and scheduling, online optimization, and various connectivity and network flow problems.
Application Areas:
I have a deep interest in (real) applications. I have worked with scientists from other disciplines and, in particular, with engineers and economists from industry to mathematically model challenging problems of their domain of expertise. The theoretical analysis of such models and the development of efficient algorithms for their numerical solution are driving forces of my research. I have contributed to the following application areas:
chip design and very large scale integration
printed circuit board design and production, control of CNC machines
simulation and optimization of computer manufacturing
flexible manufacturing, job scheduling
production planning in the chemical industry
logistics, planning of public transportation systems
vehicle routing, duty scheduling
online dispatching of vehicles, online elevator control
control of (semi-)automatically guided vehicles
energy
location planning in the telecommunication industry
design and dimensioning of telecommunication networks
design of optical networks
frequency assignment in cellular phone networks
spin glasses
input-output analysis
My main research areas are optimization, discrete mathematics, and operations research. I am particularly interested in integer programming and the geometric approach to combinatorial optimization problems (polyhedral combinatorics, convex geometry, cutting plane algorithms, branch&cut methods). On the combinatorial side, graph and matroid theory come into play here. Specific combinatorial optimization problems I have worked on are the travelling salesman problem, the max-cut problem, the stable set problem and perfect graphs, the linear ordering problem, clustering, routing and scheduling, online optimization, and various connectivity and network flow problems.
Application Areas:
I have a deep interest in (real) applications. I have worked with scientists from other disciplines and, in particular, with engineers and economists from industry to mathematically model challenging problems of their domain of expertise. The theoretical analysis of such models and the development of efficient algorithms for their numerical solution are driving forces of my research. I have contributed to the following application areas:
chip design and very large scale integration
printed circuit board design and production, control of CNC machines
simulation and optimization of computer manufacturing
flexible manufacturing, job scheduling
production planning in the chemical industry
logistics, planning of public transportation systems
vehicle routing, duty scheduling
online dispatching of vehicles, online elevator control
control of (semi-)automatically guided vehicles
energy
location planning in the telecommunication industry
design and dimensioning of telecommunication networks
design of optical networks
frequency assignment in cellular phone networks
spin glasses
input-output analysis
研究兴趣
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Horst Bredekamp, Rüdiger Campe,Martin Grötschel, Douglas R. Hofstadter, Thomas de Maizière, Juergen Mittelstrass, Martina Plümacher, Emmanuel Sander, C Schneider
Brill | Fink eBooks (2020)
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Horst Bredekamp, Rüdiger Campe,Martin Grötschel, Douglas Hofstadter, Thomas de Maizière, Juergen Mittelstrass, Martina Plümacher, Emmanuel Sander, Christina Schneider
crossref(2020)
MEASUREMENT SCIENCE REVIEWno. 4 (2020): 152-159
Ilka Agricola,Friedrich Götze,Martin Grötschel, Klaus Hulek,Peter Michor, Gabriele Nebe,Hans Jürgen Prömel,Jens Vygen,Gerhard Woeginger
Mitteilungen der Deutschen Mathematiker-Vereinigungno. 4 (2017): 215-224
Wissenschaftliches Publizieren (2016)
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