In the traveling repairman problem with profits, a repairman (also known as the server) visits a subset of nodes in order to collect time-dependent profits. The objective consists of maximizing the total collected revenue. We restrict our study to the case of a single server with nodes located in the Euclidean plane. We investigate properties of this problem, and we derive a mathematical model assuming that the number of visited nodes is known in advance. We describe a tabu search algorithm with multiple neighborhoods, and we test its performance by running it on instances based on TSPLIB. We conclude that the tabu search algorithm finds good-quality solutions fast, even for large instances.
@InProceedings{dewilde_et_al:OASIcs.ATMOS.2010.34, author = {Dewilde, Thijs and Cattrysse, Dirk and Coene, Sofie and Spieksma, Frits C. R. and Vansteenwegen, Pieter}, title = {{Heuristics for the Traveling Repairman Problem with Profits}}, booktitle = {10th Workshop on Algorithmic Approaches for Transportation Modelling, Optimization, and Systems (ATMOS'10)}, pages = {34--44}, series = {Open Access Series in Informatics (OASIcs)}, ISBN = {978-3-939897-20-0}, ISSN = {2190-6807}, year = {2010}, volume = {14}, editor = {Erlebach, Thomas and L\"{u}bbecke, Marco}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.ATMOS.2010.34}, URN = {urn:nbn:de:0030-drops-27489}, doi = {10.4230/OASIcs.ATMOS.2010.34}, annote = {Keywords: Traveling Repairman, Profits, Latency, Tabu Search, Relief Efforts} }
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