The Modified Rural Postman Problem in Vehicle Route Optimization

The submitted paper deals with designing routes of the vehicles, which provide the transport network services. We limit our focus to such tasks, where the priority is the edge service in the transport network and the initial problem is finding an Eulerian path. Regarding to real-life problems, this...

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Main Authors: Petr Kozel, Lucie Orlikova, Sarka Michalcova
Format: Article
Language:English
Published: University of Žilina 2018-09-01
Series:Communications
Subjects:
Online Access:https://komunikacie.uniza.sk/artkey/csl-201803-0015_the-modified-rural-postman-problem-in-vehicle-route-optimization.php
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author Petr Kozel
Lucie Orlikova
Sarka Michalcova
author_facet Petr Kozel
Lucie Orlikova
Sarka Michalcova
author_sort Petr Kozel
collection DOAJ
description The submitted paper deals with designing routes of the vehicles, which provide the transport network services. We limit our focus to such tasks, where the priority is the edge service in the transport network and the initial problem is finding an Eulerian path. Regarding to real-life problems, this contribution presents such procedure of solving, which takes into account both the existence of a mixed transport network containing one-way roads and the existence of a wider transport network. In this network, there are only selected edges with possibility of the effective passages. This problem can be solved by the modified Rural Postman Problem assuming the strongly connected network. Linear programming is a suitable tool for designing optimal routes of service vehicles.
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spelling doaj.art-94d75031f237422bae15942ea43786cb2023-04-14T06:31:45ZengUniversity of ŽilinaCommunications1335-42052585-78782018-09-01203889210.26552/com.C.2018.3.88-92csl-201803-0015The Modified Rural Postman Problem in Vehicle Route OptimizationPetr Kozel0Lucie Orlikova1Sarka Michalcova2Department of Mathematical Methods in Economics, Faculty of Economics, Technical University of Ostrava, Czech RepublicDepartment of Mathematical Methods in Economics, Faculty of Economics, Technical University of Ostrava, Czech RepublicDepartment of Mathematical Methods in Economics, Faculty of Economics, Technical University of Ostrava, Czech RepublicThe submitted paper deals with designing routes of the vehicles, which provide the transport network services. We limit our focus to such tasks, where the priority is the edge service in the transport network and the initial problem is finding an Eulerian path. Regarding to real-life problems, this contribution presents such procedure of solving, which takes into account both the existence of a mixed transport network containing one-way roads and the existence of a wider transport network. In this network, there are only selected edges with possibility of the effective passages. This problem can be solved by the modified Rural Postman Problem assuming the strongly connected network. Linear programming is a suitable tool for designing optimal routes of service vehicles.https://komunikacie.uniza.sk/artkey/csl-201803-0015_the-modified-rural-postman-problem-in-vehicle-route-optimization.phplinear programmingeulerian pathvehicle routing tasksthe rural postman problemmunicipal waste collection
spellingShingle Petr Kozel
Lucie Orlikova
Sarka Michalcova
The Modified Rural Postman Problem in Vehicle Route Optimization
Communications
linear programming
eulerian path
vehicle routing tasks
the rural postman problem
municipal waste collection
title The Modified Rural Postman Problem in Vehicle Route Optimization
title_full The Modified Rural Postman Problem in Vehicle Route Optimization
title_fullStr The Modified Rural Postman Problem in Vehicle Route Optimization
title_full_unstemmed The Modified Rural Postman Problem in Vehicle Route Optimization
title_short The Modified Rural Postman Problem in Vehicle Route Optimization
title_sort modified rural postman problem in vehicle route optimization
topic linear programming
eulerian path
vehicle routing tasks
the rural postman problem
municipal waste collection
url https://komunikacie.uniza.sk/artkey/csl-201803-0015_the-modified-rural-postman-problem-in-vehicle-route-optimization.php
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AT lucieorlikova themodifiedruralpostmanprobleminvehiclerouteoptimization
AT sarkamichalcova themodifiedruralpostmanprobleminvehiclerouteoptimization
AT petrkozel modifiedruralpostmanprobleminvehiclerouteoptimization
AT lucieorlikova modifiedruralpostmanprobleminvehiclerouteoptimization
AT sarkamichalcova modifiedruralpostmanprobleminvehiclerouteoptimization