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TSP with neighborhoods of varying size

de Berg, Mark; Gudmundsson, Joachim; Katz, Matthew; Levcopoulos, Christos LU ; Overmars, Mark and van der Stappen, Frank (2002) 10th Annual European Symposium on Algorithms, ESA 2002 In Algorithms — ESA 2002 / Lecture notes in computer science 2461. p.187-199
Abstract
In TSP with neighborhoods we are given a set of objects in the plane, called neighborhoods, and we seek the shortest tour that visits all neighborhoods. Until now constant-factor approximation algorithms have been known only for cases where the objects are of approximately the same size. We present the first polynomial-time constant-factor approximation algorithm for disjoint convex fat objects of arbitrary size. We also show that the problem is APX-hard and cannot be approximated within a factor of 391/390 in polynomial time, unless P=NP.
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
Algorithms — ESA 2002 / Lecture notes in computer science
volume
2461
pages
187 - 199
publisher
Springer
conference name
10th Annual European Symposium on Algorithms, ESA 2002
external identifiers
  • wos:000181470400016
  • scopus:84938061920
ISSN
0302-9743
1611-3349
DOI
10.1007/3-540-45749-6_20
language
English
LU publication?
yes
id
6f753d39-3959-4d5d-af40-71442b304574 (old id 632293)
date added to LUP
2007-12-05 09:56:14
date last changed
2017-02-26 03:26:14
@inproceedings{6f753d39-3959-4d5d-af40-71442b304574,
  abstract     = {In TSP with neighborhoods we are given a set of objects in the plane, called neighborhoods, and we seek the shortest tour that visits all neighborhoods. Until now constant-factor approximation algorithms have been known only for cases where the objects are of approximately the same size. We present the first polynomial-time constant-factor approximation algorithm for disjoint convex fat objects of arbitrary size. We also show that the problem is APX-hard and cannot be approximated within a factor of 391/390 in polynomial time, unless P=NP.},
  author       = {de Berg, Mark and Gudmundsson, Joachim and Katz, Matthew and Levcopoulos, Christos and Overmars, Mark and van der Stappen, Frank},
  booktitle    = {Algorithms — ESA 2002 / Lecture notes in computer science},
  issn         = {0302-9743},
  language     = {eng},
  pages        = {187--199},
  publisher    = {Springer},
  title        = {TSP with neighborhoods of varying size},
  url          = {http://dx.doi.org/10.1007/3-540-45749-6_20},
  volume       = {2461},
  year         = {2002},
}