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Facets of Combinatorial Optimization - Festschrift for Martin Groetschel (Paperback, Softcover reprint of the original 1st ed. 2013)
Loot Price: R2,764
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Facets of Combinatorial Optimization - Festschrift for Martin Groetschel (Paperback, Softcover reprint of the original 1st ed. 2013)
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Martin Groetschel 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
Groetschel'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 Groetschel 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, super classes 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
Groetschel who has set standards in theory, computation and
applications.
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