6533b85efe1ef96bd12bf353

RESEARCH PRODUCT

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

Isaac PlanaThais ÁVilaÁNgel CorberánJosé M. Sanchis

subject

90C27Mathematical optimizationControl and OptimizationTraverseManagement Science and Operations ResearchMathematicsT57-57.97Applied mathematics. Quantitative methodsSeries (mathematics)Extension (predicate logic)90C1090B99QA75.5-76.9590C57Constraint (information theory)Computational MathematicsClose-enough arc routing problemBranch-and-cutModeling and SimulationElectronic computers. Computer scienceRouting (electronic design automation)Distance constrainedMATEMATICA APLICADABranch and cutArc routingAlgorithmAutomatic meter readingMultivehicleGeneralized directed rural postman problem

description

[EN] 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.

yearjournalcountryeditionlanguage
2017-09-01
10.1007/s13675-015-0053-8https://hdl.handle.net/10251/107412