Title
A heuristic for the Stacker Crane Problem on trees which is almost surely exact
Abstract
Given an edge-weighted transportation network G and a list of transportation requests L, the Stacker Crane Problem is to find a minimum-cost tour for a server along the edges of G that serves all requests. The server has capacity one, and starts and stops at the same vertex. In this paper, we consider the case that the transportation network G is a tree, and that the requests are chosen randomly according to a certain class of probability distributions. We show that a polynomial time algorithm by Frederickson and Guan [J. Algorithms 15 (1993) 29-60], which guarantees a 4/3-approximation in the worst case, on almost all inputs finds a minimum-cost tour, along with a certificate of the optimality of its output.
Year
DOI
Venue
2006
10.1016/j.jalgor.2004.07.007
Journal of Algorithms
Keywords
Field
DocType
edge-weighted transportation network,stacker crane problem,j. algorithms,transportation requests l,worst case,minimum-cost tour,polynomial time algorithm,certain class,transportation network g,probability distribution
Flow network,Discrete mathematics,Combinatorics,Heuristic,Vertex (geometry),Computer science,Probability distribution,Almost surely,Stacker,Time complexity,Certificate
Journal
Volume
Issue
ISSN
61
1
0196-6774
Citations 
PageRank 
References 
14
0.85
18
Authors
4
Name
Order
Citations
PageRank
Amin Coja-Oghlan154347.25
Sven O. Krumke230836.62
Till Nierhoff310712.76
SO Krumke4342.76