Title
A two-level metaheuristic for the all colors shortest path problem.
Abstract
Given an undirected weighted graph, in which each vertex is assigned to a color and one of them is identified as source, in the all-colors shortest path problem we look for a minimum cost shortest path that starts from the source and spans all different colors. The problem is known to be NP-Hard and hard to approximate. In this work we propose a variant of the problem in which the source is unspecified and show the two problems to be computationally equivalent. Furthermore, we propose a mathematical formulation, a compact representation for feasible solutions and a VNS metaheuristic that is based on it. Computational results show the effectiveness of the proposed approach for the two problems.
Year
DOI
Venue
2018
10.1007/s10589-018-0014-2
Comp. Opt. and Appl.
Keywords
Field
DocType
Shortest path, Colored graph, Variable neighboord search
Graph,Mathematical optimization,Vertex (geometry),Variable neighborhood search,Shortest path problem,Mathematics,Metaheuristic
Journal
Volume
Issue
ISSN
71
2
0926-6003
Citations 
PageRank 
References 
0
0.34
17
Authors
4
Name
Order
Citations
PageRank
Francesco Carrabs119915.55
R. Cerulli225223.85
R. Pentangelo300.34
A. Raiconi41319.68