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https://hdl.handle.net/10119/4911
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| Title: | A New Approximation Algorithm for the Capacitated Vehicle Routing Problem on a Tree |
| Authors: | Asano, Tetsuo Katoh, Naoki Kawashima, Kazuhiro |
| Issue Date: | 2001-06 |
| Publisher: | Springer |
| Magazine name: | Journal of Combinatorial Optimization |
| Volume: | 5 |
| Number: | 2 |
| Start page: | 213 |
| End page: | 231 |
| DOI: | 10.1023/A:1011461300596 |
| Abstract: | This paper presents a new approximation algorithm for a vehicle routing problem on a tree-shaped network with a single depot. Customers are located on vertices of the tree, and each customer has a positive demand. Demands of customers are served by a fleet of identical vehicles with limited capacity. It is assumed that the demand of a customer is splittable, i.e., it can be served by more than one vehicle. The problem we are concerned with in this paper asks to find a set of tours of the vehicles with minimum total lengths. Each tour begins at the depot, visits a subset of the customers and returns to the depot without violating the capacity constraint. We propose a 1.35078-approximation algorithm for the problem (exactly, √<41>-1)/4), which is an improvement over the existing 1.5-approximation. |
| Rights: | This is the author-created version of Springer, Tetsuo Asano, Naoki Katoh and Kazuhiro Kawashima, Journal of Combinatorial Optimization, 5(2), 2001, 213-231. The original publication is available at www.springerlink.com, http://dx.doi.org/10.1023/A:1011461300596 |
| URI: | https://hdl.handle.net/10119/4911 |
| Material Type: | author |
| Appears in Collections: | b10-1. 雑誌掲載論文 (Journal Articles)
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