Multiobjective Location Routing Problem considering Uncertain Data after Disasters

The relief distributions after large disasters play an important role for rescue works. After disasters there is a high degree of uncertainty, such as the demands of disaster points and the damage of paths. The demands of affected points and the velocities between two points on the paths are uncerta...

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Main Authors: Keliang Chang, Hong Zhou, Guijing Chen, Huiqin Chen
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/1703608
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author Keliang Chang
Hong Zhou
Guijing Chen
Huiqin Chen
author_facet Keliang Chang
Hong Zhou
Guijing Chen
Huiqin Chen
author_sort Keliang Chang
collection DOAJ
description The relief distributions after large disasters play an important role for rescue works. After disasters there is a high degree of uncertainty, such as the demands of disaster points and the damage of paths. The demands of affected points and the velocities between two points on the paths are uncertain in this article, and the robust optimization method is applied to deal with the uncertain parameters. This paper proposes a nonlinear location routing problem with half-time windows and with three objectives. The affected points can be visited more than one time. The goals are the total costs of the transportation, the satisfaction rates of disaster nodes, and the path transport capacities which are denoted by vehicle velocities. Finally, the genetic algorithm is applied to solve a number of numerical examples, and the results show that the genetic algorithm is very stable and effective for this problem.
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institution Kabale University
issn 1026-0226
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language English
publishDate 2017-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-7e8896aff6d2408cb5d043e0297eef1d2025-02-03T01:29:58ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/17036081703608Multiobjective Location Routing Problem considering Uncertain Data after DisastersKeliang Chang0Hong Zhou1Guijing Chen2Huiqin Chen3School of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, ChinaSchool of Economics and Management, Beihang University, Beijing 100191, ChinaSchool of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, ChinaSchool of Mathematics and Computer Science, Shanxi Datong University, Datong 037009, ChinaThe relief distributions after large disasters play an important role for rescue works. After disasters there is a high degree of uncertainty, such as the demands of disaster points and the damage of paths. The demands of affected points and the velocities between two points on the paths are uncertain in this article, and the robust optimization method is applied to deal with the uncertain parameters. This paper proposes a nonlinear location routing problem with half-time windows and with three objectives. The affected points can be visited more than one time. The goals are the total costs of the transportation, the satisfaction rates of disaster nodes, and the path transport capacities which are denoted by vehicle velocities. Finally, the genetic algorithm is applied to solve a number of numerical examples, and the results show that the genetic algorithm is very stable and effective for this problem.http://dx.doi.org/10.1155/2017/1703608
spellingShingle Keliang Chang
Hong Zhou
Guijing Chen
Huiqin Chen
Multiobjective Location Routing Problem considering Uncertain Data after Disasters
Discrete Dynamics in Nature and Society
title Multiobjective Location Routing Problem considering Uncertain Data after Disasters
title_full Multiobjective Location Routing Problem considering Uncertain Data after Disasters
title_fullStr Multiobjective Location Routing Problem considering Uncertain Data after Disasters
title_full_unstemmed Multiobjective Location Routing Problem considering Uncertain Data after Disasters
title_short Multiobjective Location Routing Problem considering Uncertain Data after Disasters
title_sort multiobjective location routing problem considering uncertain data after disasters
url http://dx.doi.org/10.1155/2017/1703608
work_keys_str_mv AT keliangchang multiobjectivelocationroutingproblemconsideringuncertaindataafterdisasters
AT hongzhou multiobjectivelocationroutingproblemconsideringuncertaindataafterdisasters
AT guijingchen multiobjectivelocationroutingproblemconsideringuncertaindataafterdisasters
AT huiqinchen multiobjectivelocationroutingproblemconsideringuncertaindataafterdisasters