Title
An Efficient Algorithm for the Fast Delivery Problem.
Abstract
We study a problem where k autonomous mobile agents are initially located on distinct nodes of a weighted graph (with n nodes and m edges). Each autonomous mobile agent has a predefined velocity and is only allowed to move along the edges of the graph. We are interested in delivering a package, initially positioned in a source node s, to a destination node y. The delivery is achieved by the collective effort of the autonomous mobile agents, which can carry and exchange the package among them. The objective is to compute a delivery schedule that minimizes the delivery time of the package. In this paper, we propose an O(kn log(kn) + k m) time algorithm for this problem. This improves the previous state-of-the-art O(k^2 m + k n^2 + APSP) time algorithm for this problem, where APSP stands for the running-time of an algorithm for the All-Pairs Shortest Paths problem.
Year
DOI
Venue
2019
10.1007/978-3-030-25027-0_12
FCT
Field
DocType
Volume
Graph,Discrete mathematics,Mobile agent,Algorithm,Mathematics
Journal
abs/1904.09142
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Iago A. Carvalho100.34
Thomas Erlebach272.40
Kleitos Papadopoulos300.34