Minimum Target Coverage for Air Quality Monitoring Using Bus Routes
Bodhayan Roy, Vorapong Suppakitpaisarn, Bubai Manna, Cam Ly Nguyen · 2022 IEEE 96th Vehicular Technology Conference (VTC2022-Fall) · 2022
Several works recently focus on monitoring air quality of critical areas using sensors attached to buses. They aim to monitor the maximum number of critical areas using a limited number of sensors. In practice, we may want to have information for all critical areas. We work on the problem of covering all the areas using the minimum number of sensors in this work. We show that, even when the bus routes are not pre-defined, the problem is NP-hard and is significantly harder than the problem of the previous works. Then, we develop two algorithms for the case that the routes are pre-defined. Those algorithms include a fixed parameter tractability and a 2-approximation algorithm for a special case of the problem. Our experiment results show that, although we usually give the similar number of sensors as the algorithm in the previous works, our algorithms have a shorter computation time than the classical greedy algorithm.