# American Institute of Mathematical Sciences

April  2007, 3(2): 335-356. doi: 10.3934/jimo.2007.3.335

## A model for adaptive rescheduling of flights in emergencies (MARFE)

 1 Centre for Industrial and Applied Mathematics (CIAM), University of South Australia, Mawson Lakes Campus, Mawson Lakes, SA 5095, Australia, Australia, Australia 2 School of Information Technology and Mathematical Sciences, University of Ballarat, P.O. Box 663, Ballarat, Victoria 3353, Australia

Received  September 2006 Revised  January 2007 Published  April 2007

Disruptions to commercial airline schedules are frequent and can inflict significant costs. In this paper we continue a line of research initiated by Vranas, Bertsimas and Odoni [15,16], that aims to develop techniques facilitating rapid return to normal operations whenever disruptions occur. Ground Holding is a technique that has been successfully employed to combat disruptions at North American airports. However, this alone is insufficient to cope with the problem. We develop an adaptive optimization model that allows the implementation of other tactics, such as flight cancellations, airborne holding and diversions. While the approach is generic, our model incorporates features of Sydney airport in Australia, such as a night curfew from 11:00pm to 6:00am. For an actual day when there was a significant capacity drop, we demonstrate that our model clearly outperforms the actions that were initiated by the air traffic controllers at Sydney.
Citation: Jerzy A. Filar, Prabhu Manyem, David M. Panton, Kevin White. A model for adaptive rescheduling of flights in emergencies (MARFE). Journal of Industrial & Management Optimization, 2007, 3 (2) : 335-356. doi: 10.3934/jimo.2007.3.335
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