Facets of combinatorial optimization Festschrift for Martin Grötschel / Michael Jünger, Gerhard Reinelt, editors.
| Other author | Jünger, M. (Michael) |
| Other author | Reinelt, G. (Gerhard) |
| Other author | Grötschel, Martin. |
| Format | Electronic |
| Publication Info | Heidelberg ; New York : Springer, [2013]. |
| Description | xvii, 506 pages : illustrations (some color) ; 24 cm |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Contents | Martin Grötschel - the early years in Bonn and Augsburg / Michael Jünger -- Facets and rank of interger polyhedra / Manfred W. Padberg -- Martin Grötschel's descendants and their doctoral theses 1983-2012 / Michael Jünger and Gerhard Reinelt -- Constructing extended formulations from reflection relations / Volker Kaibel and Kanstantsin Pashhovich -- Mirror-descent methods in mixed-integer convex optimization / Michel Baes, Timm Oertel, Christian Wagner and Robert Weismantel -- Beyond perfection: computational results for superclasses / Arnaud Pêcher and Annegret K. Wagler -- From vertex-telecenters to subtree-telecenters / Zaw Win and Cho Kyi Than -- Algorithms for junctions in acyclic digraphs / Carlos Eduardo Ferreira and Álvaro Junio Pereira Franco -- Algorithms for scheduling sensors to maximize coverage time / Rafael da Ponte Barbosa and Yoshiko Wakabayashi -- How many Steiner terminals can you connect in 20 years? / Ralf Borndörfer, Dam-Dũng Hoang, Marika Karbstein, Thorsten Koch and Alexander Martin -- The maximum weight connected subgraph problem / Eduardo Álvarez-Miranda, Ivana Ljubić and Petra Mutzel -- Exact algorithms for combinatorial optimization problems with submodular objective functions / Frank Baumann, Sebastian Berckey and Christoph Buchheim -- A primal heuristic for nonsmooth mixed interger nonlinear optimization / Martin Schmidt, Marc C. Steinbach, and Bernhard M. Willert -- A new algorithm for MINLP applied to gas transport energy cost minimization / Björn Geissler, Antonio Morsi and Lars Schewe -- Solving k-way graph partitioning problems to optimality: the impact of semidefinite relaxations and the bundle method / Miguel F. Anjos, Bissan Ghaddar, Lena Hupp, Frauke Liers and Angelika Wiegel -- On perspective functions and vanishing constraints in mixed-integer nonlinear optimal control / Michael N. Jung, Christian Kirches and Sebastian Sager -- Scheduling and routing of fly-in safari planes using a flow-over-flow model / Armin Fügenschuh, George Nemhauser and Yulian Zeng -- Mixed Integer programming: analyzing 12 years of progress / Tobias Achterberg and Roland Wunderling -- Progress in academic computational integer programming / Thorsten Koch, Alexander Martin and Marc E. Pfetsch. |
| Summary | 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. |
| Bibliography note | Includes bibliographical references. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2013942544 |
| ISBN | 364238188X |
| ISBN | 9783642381881 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |