Two-stage stochastic programming models for the extended aircraft arrival management problem with multiple pre-scheduling points

Extended aircraft arrival management under uncertainty has been previously studied in the literature using two-stage stochastic optimization case of a single initial approach fix (IAF) and runway. In this paper, we propose an extension taking into account: (i) multiple IAFs feeding landing runway, (ii) having different flight status (at-departure-gate or airborne) when making first-stage decisions, (iii) time-deviation cost function to minimize that is based on reference values depending type phase. Two problem variants are modeled according degree freedom IAF assignment aircraft. first variant, be assigned aircraft, as decision. second fixed considered input. Numerical results realistic instances from Paris Charles-de-Gaulle airport confirm benefit account through programming, re-assignment IAFs.