Authors: Hirohide Matsunaga
Addresses: Electronic Navigation Research Institute, National Institute of Maritime, Port, and Aviation Technology, 7-42-23 Jindaiji-Higashi-Machi, Chofu, Tokyo, 182-0012, Japan; Graduate School of Business Science, University of Tsukuba, 3-29-1 Otsuka, Bunkyo-ku, Tokyo, 112-0012, Japan
Abstract: Currently, a minimum separation between aircraft (ACFT) is ensured for safety with time management primarily achieved using two-dimensional (2D) detour coordination. This result in a requirement to balance trade-offs between safety separation, delay times and fuel consumption. This study introduces ACFT speed adjustments in response to the stochastic processes and uncertain factors affecting ACFT separation, including meteorological conditions, instructions on the part of air-traffic control (ATC) and actions on the part of the pilot. In particular, we focus on speed adjustments in one-dimensional (1D) merge routes to improve ACFT separation, delay and fuel consumption. A novel social-welfare (SW) function model is established; subsequently, the relationships amongst the safety value, efficiency and other exchangeable values are confirmed, in addition to determining the optimal point of merging, which was shown to be closer to the alternative merging (zipper) process than the first-come-first-served (FCFS) process.
Keywords: air route; speed adjustment; separation correction; alternative merging process; zipper; first-come-first-served process; FCFS; exchangeable value; social welfare; total optimisation.
International Journal of Mathematical Modelling and Numerical Optimisation, 2021 Vol.11 No.4, pp.327 - 354
Received: 15 Aug 2020
Accepted: 16 May 2021
Published online: 25 Oct 2021 *