Title
Improved algorithms for single vehicle scheduling on tree/cycle networks
Abstract
The single vehicle scheduling problems based on tree/cycle networks are studied in this paper. Each customer, assumed as a vertex on the given network, has a release time and a service time requirement. The single vehicle starts from the depot and aims to serve all the customers. The objective of the problem is to find the optimal routing schedule so as to minimize the makespan. We provide a 169\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{16}{9}$$\end{document}-approximation algorithm and a 4825\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{48}{25}$$\end{document}-approximation algorithm for the tour-version and path-version of single vehicle scheduling problem on a tree, respectively. For the tour-version and path-version of single vehicle scheduling problem on a cycle, we present a 53\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{5}{3}$$\end{document}-approximation algorithm and a 2917\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\frac{29}{17}$$\end{document}-approximation algorithm, respectively.
Year
DOI
Venue
2021
10.1007/s10878-019-00420-2
JOURNAL OF COMBINATORIAL OPTIMIZATION
Keywords
DocType
Volume
Vehicle, Routing, Scheduling, Network, Approximation algorithm
Journal
42
Issue
ISSN
Citations 
3
1382-6905
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Yuanxiao Wu100.34
Xiwen Lu218221.03