Martin Grotschel 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
Grotschel 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 Grotschel 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 Grotschel
who has set standards in theory, computation and applications.
General
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