Approximating the length of Chinese postman tours

被引:0
|
作者
Nathalie Bostel
Philippe Castagliola
Pierre Dejax
André Langevin
机构
[1] Université de Nantes,LUNAM Université
[2] IRCCyN UMR CNRS 6597,LUNAM Université
[3] École des Mines de Nantes,Department of Mathematics and Industrial Engineering, CIRRELT
[4] IRCCyN UMR CNRS 6597,undefined
[5] École Polytechnique de Montréal,undefined
来源
4OR | 2014年 / 12卷
关键词
Vehicle routing; Logistics; Statistics; Transport; 90B06 Logistics and transportation; 62J02 General nonlinear regression;
D O I
暂无
中图分类号
学科分类号
摘要
This article develops simple and easy-to-use approximation formulae for the length of a Chinese Postman Problem (CPP) optimal tour on directed and undirected strongly connected planar graphs as a function of the number of nodes and the number of arcs for graphs whose nodes are randomly distributed on a unit square area. These approximations, obtained from a multi-linear regression analysis, allow to easily forecast the length of a CPP optimal tour for various practical combinations of number of arcs and nodes ranging, from 10 to 300 nodes and 15 to 900 arcs.
引用
收藏
页码:359 / 372
页数:13
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