TY - GEN
A1 - Hoppmann-Baum, Kai
A1 - Mexi, Gioni
A1 - Burdakov, Oleg
A1 - Casselgren, Carl Johan
A1 - Koch, Thorsten
T1 - Length-Constrained Cycle Partition with an Application to UAV Routing
N2 - In this article, we discuss the Length-Constrained Cycle Partition Problem (LCCP). Besides edge weights, the undirected graph in LCCP features an individual critical weight value for each vertex. A cycle partition, i.e., a vertex disjoint cycle cover, is a feasible solution if the length of each cycle is not greater than the critical weight of each of the vertices in the cycle. The goal is to find a feasible partition with the minimum number of cycles. In this article, we discuss theoretical properties, preprocessing techniques, and two mixed-integer programming models (MIP) for LCCP both inspired by formulations for the closely related Travelling Salesperson Problem (TSP). Further, we introduce conflict hypergraphs, whose cliques yield valid constraints for the MIP models.
We conclude with a report on computational experiments conducted on (A)TSPLIB-based instances. As an example, we use a routing problem in which a fleet of uncrewed aerial vehicles (UAVs) patrols a set of areas.
T3 - ZIB-Report - 20-30
Y1 - 2020
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/8048
UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-80489
SN - 1438-0064
ER -