Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This tutorial contains written versions of seven lectures on Computational Combinatorial Optimization given by leading members of the optimization community. The lectures introduce modern combinatorial optimization techniques, with an emphasis on branch and cut algorithms and Lagrangian relaxation approaches. Polyhedral combinatorics as the mathematical backbone of successful algorithms are covered from many perspectives, in particular, polyhedral projection and lifting techniques and the importance of modeling are extensively discussed. Applications to prominent combinatorial optimization problems, e.g., in production and transport planning, are treated in many places; in particular, the book contains a state-of-the-art account of the most successful techniques for solving the traveling salesman problem to optimality.

Programming (Mathematics) --- Combinatorial optimization --- Congresses --- Operations Research --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mathematics. --- Information technology. --- Business --- Data structures (Computer science). --- Algorithms. --- Computer science --- Mathematical optimization. --- Combinatorics. --- Optimization. --- Discrete Mathematics in Computer Science. --- Algorithm Analysis and Problem Complexity. --- IT in Business. --- Data Structures. --- Data processing. --- Computational complexity. --- Computer software. --- Data structures (Computer scienc. --- Combinatorics --- Algebra --- Mathematical analysis --- IT (Information technology) --- Technology --- Telematics --- Information superhighway --- Knowledge management --- Software, Computer --- Computer systems --- Complexity, Computational --- Electronic data processing --- Machine theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Computer science—Mathematics. --- Business—Data processing. --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Algorism --- Arithmetic --- Foundations --- Programming (Mathematics) - Congresses --- Combinatorial optimization - Congresses

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Martin Grötschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday on September 10, 2013. Martin Grötschel’s doctoral descendant tree 1983–2012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren, and 2 great-great-grandchildren, a total of 139 doctoral descendants.  This book starts with a personal tribute to Martin Grötschel by the editors (Part I), a contribution by his very special “predecessor” Manfred Padberg on “Facets and Rank of Integer Polyhedra” (Part II), and the doctoral descendant tree 1983–2012 (Part III). The core of this book (Part IV) contains 16 contributions, each of which is coauthored by at least one doctoral descendant.  The sequence of the articles starts with contributions to the theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimization, superclasses of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclic graphs, and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering.  Combinations of new theoretical insights with algorithms and experiments deal with network design problems, combinatorial optimization problems with submodular objective functions, and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design, mean-risk optimization, and gas network optimization.  Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-integer linear optimization for scheduling and routing of fly-in safari planes.  The two closing articles are devoted to computational advances in general mixed-integer linear optimization, the first by scientists working in industry, the second by scientists working in academia. These articles reflect the “scientific facets” of Martin Grötschel who has set standards in theory, computation, and applications.

Numerical methods of optimisation --- Operational research. Game theory --- Discrete mathematics --- Mathematics --- Planning (firm) --- Computer science --- Computer. Automation --- toegepaste wiskunde --- draadloze computernetwerken --- complexiteit --- discrete wiskunde --- automatisering --- informatica --- mathematische modellen --- wiskunde --- algoritmen

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Martin Grötschel is one of the most influential mathematicians of our time. He has received numerous honors and holds a number of key positions in the international mathematical community. He celebrated his 65th birthday on September 10, 2013. Martin Grötschel's doctoral descendant tree 1983-2012, i.e., the first 30 years, features 39 children, 74 grandchildren, 24 great-grandchildren, and 2 great-great-grandchildren, a total of 139 doctoral descendants. This book starts with a personal tribute to Martin Grötschel by the editors (Part I), a contribution by his very special "predecessor" Manfred Padberg on "Facets and Rank of Integer Polyhedra" (Part II), and the doctoral descendant tree 1983-2012 (Part III). The core of this book (Part IV) contains 16 contributions, each of which is coauthored by at least one doctoral descendant. The sequence of the articles starts with contributions to the theory of mathematical optimization, including polyhedral combinatorics, extended formulations, mixed-integer convex optimization, superclasses of perfect graphs, efficient algorithms for subtree-telecenters, junctions in acyclic graphs, and preemptive restricted strip covering, as well as efficient approximation of non-preemptive restricted strip covering. Combinations of new theoretical insights with algorithms and experiments deal with network design problems, combinatorial optimization problems with submodular objective functions, and more general mixed-integer nonlinear optimization problems. Applications include VLSI layout design, systems biology, wireless network design, mean-risk optimization, and gas network optimization. Computational studies include a semidefinite branch and cut approach for the max k-cut problem, mixed-integer nonlinear optimal control, and mixed-integer linear optimization for scheduling and routing of fly-in safari planes. The two closing articles are devoted to computational advances in general mixed-integer linear optimization, the first by scientists working in industry, the second by scientists working in academia. These articles reflect the "scientific facets" of Martin Grötschel who has set standards in theory, computation, and applications -- P.4 of cover.

Combinatorial optimization --- Grötschel, Martin

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Long description: This workbook offers a new and systematic approach about how to engage and excel in the practice of Business Design Innovation.

Success in business.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Since its start in 1990, the IPCO conference series (held under the auspices of theMathematicalProgrammingSociety)hasbecomeanimportantforumforthe presentation of recent results in Integer Programming and Combinatorial Op- mization. This volume compiles the papers presented at IPCO XI, the eleventh conference in this series, held June 8–10, 2005, at the Technische Universit¨ at Berlin. The high interest in this conference series is evident in the large number of submissions. For IPCO XI, 119 extended abstracts of up to 10 pages were submitted. During its meeting on January 29–30, 2005, the Program Committee carefully selected 34 contributions for presentation in non-parallel sessions at the conference. The ?nal choices were not easy at all, since, due to the limited number of time slots, many very good papers could not be accepted. During the selection process the contributions were refereed according to the standards of refereed conferences. As a result of this procedure, you have in your hands a volume that contains papers describing high-quality research e?orts. The page limit for contributions to this proceedings volume was set to 15. You may ?nd full versions of the papers in scienti?c journals in the near future. We thank all the authors who submitted papers. Furthermore, the Program Committee is indebted to the many reviewers who, with their speci?c expertise, helped a lot in making the decisions.

Computer. Automation --- informatica --- numerieke analyse --- grafische vormgeving --- Artificial intelligence. Robotics. Simulation. Graphics --- complexe analyse (wiskunde) --- Discrete mathematics --- discrete wiskunde --- Complex analysis --- Computer science --- Integer programming --- Combinatorial optimization --- Computational complexity. --- Electronic data processing. --- Computer software. --- Computer graphics. --- Discrete Mathematics in Computer Science. --- Numeric Computing. --- Algorithm Analysis and Problem Complexity. --- Computer Graphics. --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Software, Computer --- Computer systems --- ADP (Data processing) --- Automatic data processing --- Data processing --- EDP (Data processing) --- IDP (Data processing) --- Integrated data processing --- Computers --- Office practice --- Complexity, Computational --- Machine theory --- Digital techniques --- Automation --- Computer science—Mathematics. --- Numerical analysis. --- Algorithms. --- Algorism --- Algebra --- Arithmetic --- Mathematical analysis --- Foundations --- IPCO --- Discrete mathematics. --- Numerical Analysis. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis