Formulations and exact algorithms for the distance-constrained generalized directed rural postman problem

Formulations and exact algorithms for the distance-constrained generalized directed rural postman... The generalized directed rural postman problem is an arc routing problem with many interesting real-life applications, such as routing for meter reading. In this application, a vehicle with a receiver travels through a series of neighborhoods. If the vehicle gets closer than a certain distance to a meter, the receiver is able to record the gas, water, or electricity consumption. Therefore, the vehicle does not need to traverse every street, but only a few, to get close enough to each meter. We study an extension of this problem in which a fleet of vehicles is available. Given the characteristics of the mentioned application, the vehicles have no capacities but there is a maximum distance (or time) constraint all of them have to satisfy. We introduce four formulations for this problem, propose some families of valid inequalities, and present four branch-and-cut algorithms for its solution. The formulations and the algorithms are compared on a large set of instances. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png EURO Journal on Computational Optimization Springer Journals

Formulations and exact algorithms for the distance-constrained generalized directed rural postman problem

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Publisher
Springer Berlin Heidelberg
Copyright
Copyright © 2015 by EURO - The Association of European Operational Research Societies
Subject
Business and Management; Operations Research/Decision Theory; Operations Management; Operations Research, Management Science; Optimization
ISSN
2192-4406
eISSN
2192-4414
D.O.I.
10.1007/s13675-015-0053-8
Publisher site
See Article on Publisher Site

Abstract

The generalized directed rural postman problem is an arc routing problem with many interesting real-life applications, such as routing for meter reading. In this application, a vehicle with a receiver travels through a series of neighborhoods. If the vehicle gets closer than a certain distance to a meter, the receiver is able to record the gas, water, or electricity consumption. Therefore, the vehicle does not need to traverse every street, but only a few, to get close enough to each meter. We study an extension of this problem in which a fleet of vehicles is available. Given the characteristics of the mentioned application, the vehicles have no capacities but there is a maximum distance (or time) constraint all of them have to satisfy. We introduce four formulations for this problem, propose some families of valid inequalities, and present four branch-and-cut algorithms for its solution. The formulations and the algorithms are compared on a large set of instances.

Journal

EURO Journal on Computational OptimizationSpringer Journals

Published: Oct 21, 2015

References

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