Incorporating Drone’s No-Fly Zones in Traveling Salesman Problem: A Case Study in Florianópolis
- Bruno Avelino
- Mauro Caetano
- Christopher Cerqueira
Instituto Tecnológico da Aeronáutica (ITA)
- Evento
- XX SITRAER – Joinville, SC, Brasil, 18 a 20 de outubro de 2023
- Volume
- Proceedings of XX SITRAER – Air Transportation Symposium · ISSN 2448-1912
- Páginas
- 553–561
- Editora
- Universidade Federal de Santa Catarina (UFSC)
- Editores
- Renata Cavion, Rafael Gigena Cuenca
Abstract
This study aims to address the Traveling Salesman Problem tailored for drone applications by considering the inclusion of No-Fly-Zones (NFZ). Unlike previous studies, this research incorporates the restricted areas in which drones are not allowed to fly into mathematical formulation. The study’s main objectives are to optimize the drone's route in the presence of NFZ, using the city of Florianópolis/SC as the geographic context, and Nauru 500 from XMobots® as the selected drone model, a remote pilot electric vertical takeoff and land (eVTOL) aircraft. The methodology employed comprised several steps. Initially, five points of interest were meticulously chosen. Subsequently, the distance matrix was calculated using the Haversine formula. The optimal route was determined through Mixed Integer Programming (MIP) within the AMPL Tool and Gurobi Solver, incorporating the No-Fly Zone (NFZ) constraint. The suitability of the chosen model to execute the route was assessed against its characteristics. Finally, the obtained route was visualized using the QGIS tool. Our findings showcase an optimized route: Morro da Cruz-Estádio Ressacada-Ilha das Vinhas-Ponte Hercílio Luiz-Ponte Hercílio Luiz-Morro da Cruz. By incorporating DTCEA-FL as a No-Fly Zone (NFZ), the total distance amounts to 20.5 km. Remarkably, this distance aligns with the Nauru 500's endurance, achievable through vertical take-off and vertical landing, or alternatively, parachuteassisted landing. This research advances the comprehension of effective drone route planning with academic, military, and social impacts: addressing overlooked aspects in academia, enhancing military safety and compliance, and promoting safe drone use for privacy, security, and societal integration. Future research holds promise in exploring diverse avenues, including the incorporation of NFZ edges rather than points, investigating a variety of drone models and scenarios, and delving into situations where drones enter temporary NFZ.
Keywords: Air transport; Mathematical model; Optimization