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MPI-INF D1 Publications :: Thesis :: Ziegelmann, Mark

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Thesis - Doctoral dissertation | @PhdThesis | Doktorarbeit

Author(s)*:Ziegelmann, Mark
BibTeX citekey*:Ziegelmann2001

Title, School
Title*:Constrained Shortest Paths and Related Problems
School:Universität des Saarlandes
Type of Thesis*:Doctoral dissertation

Note, Abstract, Copyright
LaTeX Abstract:The classical shortest path problem, to find a path

of minimal cost between two nodes in a graph, is efficiently solvable
in polynomial time. However, in many applications we also have additional
budget or resource constraints on a path. This problem is known as
constrained shortest path problem and unfortunately belongs to the
class of ``hard''
problems for which no polynomial time algorithm is known.
In this thesis, we propose a 2-step method for the constrained shortest
path problem. We first solve
a relaxation to get upper and lower bounds and then close the gap with
clever path ranking to
obtain the exact solution. We compare different old and new methods
both theoretically and experimentally.
The 2-step method also works for a more general class of
constrained network optimization problems. We illustrate the
generic approach using several examples. We have also developed
a software package {\sc Cnop} that provides this generic 2-step
approach as well as all state of the art algorithms for
constrained shortest paths.

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Referees, Status, Dates
1. Referee:Prof. Dr. Kurt Mehlhorn
2. Referee:Prof. Dr. Ulrich Lauther
Supervisor:Prof. Dr. Kurt Mehlhorn
Date Kolloquium:30 July 2001
Chair Kolloquium:Prof. Dr. Raimund Seidel

MPG Unit:Max-Planck-Institut für Informatik
MPG Subunit:Algorithms and Complexity Group
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BibTeX Entry:
AUTHOR = {Ziegelmann, Mark},
TITLE = {Constrained Shortest Paths and Related Problems},
SCHOOL = {Universit{\"a}t des Saarlandes},
YEAR = {2001},
TYPE = {Doctoral dissertation}
MONTH = {July},

Entry last modified by Uwe Brahm, 03/02/2010
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Mark Ziegelmann
07/25/2001 02:24:47 PM

Uwe Brahm
Mark Ziegelmann

Edit Date
05/05/2007 09:20:14 AM
25/07/2001 14:24:47