Title
Minmax p-Traveling Salesmen Location Problems on a Tree
Abstract
Suppose that p traveling salesmen must visit together all points of a tree, and the objective is to minimize the maximum of the lengths of their tours. The location–allocation version of the problem (where both optimal home locations of the salesmen and their optimal tours must be found) is known to be NP-hard for any p≥2. We present exact polynomial algorithms with a linear order of complexity for location versions of the problem (where only optimal home locations must be found, without the corresponding tours) for the cases p=2 and p=3.
Year
DOI
Venue
2002
10.1023/A:1020759332183
Annals of Operations Research
Keywords
Field
DocType
polynomial algorithm, location, traveling salesman problem
Discrete mathematics,Minimax,Mathematical optimization,Travelling salesman problem,Polynomial algorithm,Mathematics
Journal
Volume
Issue
ISSN
110
1
1572-9338
Citations 
PageRank 
References 
12
0.77
5
Authors
2
Name
Order
Citations
PageRank
Igor Averbakh169954.76
O. Berman21604231.36