Solution Methodologies for generating robust Airline Schedules

Aircraft fleet can have a major effect on the efficiency and smooth running of an airline. Constructing good quality schedules is vital for an airline to operate in an effective and efficient way in order to accomplish high levels of consumer satisfaction and to maximise profits. The robustness of an airline schedule is an indicative measure of how good the schedule is because a robust plan allows the airline to cope with the unexpected disturbances which normally occur on a daily basis. Here we describe a technique to measure the robustness of schedules for aircraft fleet scheduling within KLM airlines. The method is based on the ’Aircraft on Ground (ACOG)’ measure, it employs statistical methods (although alternative methods were also considered) and it is shown to provide a good estimation of the robustness of a given schedule.

[1]  Yosef S. Sherif,et al.  AN ALGORITHM FOR COMPUTER ASSISTED SEQUENCING AND SCHEDULING OF TERMINAL AREA OPERATIONS , 1991 .

[2]  George L. Nemhauser,et al.  Maintenance and Crew Considerations in Fleet Assignment , 1996, Transp. Sci..

[3]  Dallas Denery,et al.  The Dynamic Planner: The Sequencer, Scheduler, and Runway Allocator for Air Traffic Control Automation , 2013 .

[4]  M. Saks Merlin and Solomon: Lessons from the Law's Formative Encounters with Forensic Identification Science , 1998 .

[5]  Bertil Marksjö,et al.  Airline Base Schedule Optimisation by Flight Network Annealing , 2001, Ann. Oper. Res..

[6]  J. F. Dijksman Hydro-Acoustics of Piezoelectrically Driven Ink-Jet Print Heads , 1998 .

[7]  Colonel Roche,et al.  A dynamic approach for aircraft assignment and maintenance scheduling by airlines , 2000 .

[8]  Daniel Delahaye,et al.  Flights Alternative Routes Generator by Genetic Algorithms , 2000 .

[9]  Russell A. Rushmeier,et al.  Advances in the Optimization of Airline Fleet Assignment , 1997, Transp. Sci..

[10]  Cynthia Barnhart,et al.  Airline Fleet Assignment with Time Windows , 2000, Transp. Sci..

[11]  Robert Richardson An Optimization Approach to Routing Aircraft , 1976 .

[12]  Paul Scerri,et al.  Real time genetic scheduling of aircraft landing times , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[13]  Jerzy A. Filar,et al.  How Airlines and Airports Recover from Schedule Perturbations: A Survey , 2001, Ann. Oper. Res..

[14]  D. Bousfield,et al.  Nonlinear analysis of the surface tension driven breakup of viscoelastic filaments , 1986 .

[15]  Joel L Horowitz,et al.  An Adaptive, Rate-Optimal Test of Linearity for Median Regression Models , 2002 .

[16]  N. Rashevsky,et al.  Mathematical biology , 1961, Connecticut medicine.

[17]  George L. Nemhauser,et al.  Flight String Models for Aircraft Fleeting and Routing , 1998, Transp. Sci..

[18]  A. Tsybakov,et al.  Asymptotically exact nonparametric hypothesis testing in sup-norm and at a fixed point , 2000 .

[19]  M. Heizmann,et al.  Strategies for the automated recognition of marks in forensic science , 2002, SPIE Defense + Commercial Sensing.

[20]  F. Durst,et al.  Investigation of the elongational behavior of polymer solutions by means of an elongational rheometer , 2002 .

[21]  A. Yarin Free Liquid Jets and Films: Hydrodynamics and Rheology , 1993 .

[22]  Alberto Vasquez-Marquez American Airlines Arrival Slot Allocation System (ASAS) , 1991 .

[23]  V. Spokoiny,et al.  Minimax Nonparametric Hypothesis Testing: The Case of an Inhomogeneous Alternative , 1999 .

[24]  John E. Beasley,et al.  Scheduling aircraft landings at London Heathrow using a population heuristic , 2001, J. Oper. Res. Soc..

[25]  C. Pouet Nonparametric Goodness-of-Fit Testing Under Gaussian Models , 2004 .

[26]  David Abramson,et al.  Scheduling Aircraft Landings - The Static Case , 2000, Transp. Sci..

[27]  Andres G. Zellweger,et al.  Fast-Time Study of Airline-Influenced Arrival Sequencing and Scheduling , 2001 .

[28]  Rainer Schrader,et al.  Modeling and Solving an Airline Schedule Generation Problem , 2001, Ann. Oper. Res..

[29]  J. Eggers Theory of drop formation , 1995, physics/0111003.

[30]  George L. Nemhauser,et al.  A Stochastic Model of Airline Operations , 2002, Transp. Sci..

[31]  J. Dew A population dynamic model assessing options for managing eastern oysters (Crassostrea virginica) and triploid Suminoe oysters (Crassostrea ariakensis) in Chesapeake Bay , 2002 .

[32]  Shangyao Yan,et al.  Airline Scheduling for the Temporary Closure of Airports , 1997, Transp. Sci..

[33]  Paul M. B. Vitányi,et al.  An Introduction to Kolmogorov Complexity and Its Applications , 1993, Graduate Texts in Computer Science.

[34]  Hai-Xiang Lin,et al.  An efficient 3D particle transport model for use in stratified flow , 2006 .

[35]  U. Hatch,et al.  AQUACULTURE , 2021, The Economics of Fishing.

[36]  Janić Milan,et al.  The flow management problem in air traffic control: a model of assigning priorities for landings at a congested airport , 1997 .

[37]  G. Taylor Dispersion of soluble matter in solvent flowing slowly through a tube , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[38]  M. Renardy A numerical study of the asymptotic evolution and breakup of Newtonian and viscoelastic jets , 1995 .

[39]  R. Mann,et al.  Estimation Of Oyster, Crassostrea Virginica, Standing Stock, Larval Production And Advective Loss In Relation To Observed Recruitment In The James River, Virginia , 1998 .

[40]  Helmut Richter,et al.  Thirty Years of Airline Operations Research , 1989 .

[41]  C. Bacher,et al.  Assessing the production and the impact of cultivated oysters in the Thau lagoon (Mediterranee, France) with a population dynamics model , 2001 .

[42]  V. Spokoiny Data-driven testing the fit of linear models , 2000 .

[43]  M. Brereton Dynamics of Polymeric Liquids , 1978 .

[44]  Dennis F. X. Mathaisel Decision Support for Airline Schedule Planning , 1997, J. Comb. Optim..

[45]  Jonathan F. Bard,et al.  Flight Scheduling and Maintenance Base Planning , 1989 .

[46]  P. Cochat,et al.  Et al , 2008, Archives de pediatrie : organe officiel de la Societe francaise de pediatrie.

[47]  Ram Narasimhan,et al.  An Efficient Airline Re-Fleeting Model for the Incremental Modification of Planned Fleet Assignments , 2000, Transp. Sci..

[48]  K. Ruland,et al.  A model for aeromedical routing and scheduling , 1999 .

[49]  B. Laurent,et al.  ADAPTIVE TESTS OF LINEAR HYPOTHESES BY MODEL SELECTION , 2003 .

[50]  D. Papageorgiou ON THE BREAKUP OF VISCOUS LIQUID THREADS , 1995 .

[51]  Tanya M. Monro,et al.  Modeling the fabrication of hollow fibers: capillary drawing , 2001 .

[52]  Paul C. Du Chateau,et al.  Applied Partial Differential Equations , 1990, The Mathematical Gazette.

[53]  Gang Yu,et al.  A Grasp for Aircraft Routing in Response to Groundings and Delays , 1997, J. Comb. Optim..

[54]  Jens Clausen,et al.  Disruption Management for an Airline - Rescheduling of Aircraft , 2002, EvoWorkshops.

[55]  James V. Hansen,et al.  Genetic search methods in air traffic control , 2004, Comput. Oper. Res..

[56]  Ram Gopalan,et al.  Mathematical models in airline schedule planning: A survey , 1998, Ann. Oper. Res..

[57]  Arnold W. Heemink,et al.  Stochastic modelling of dispersion in shallow water , 1990 .

[58]  José D. P. Rolim,et al.  Fleet Scheduling Optimization: A Simulated Annealing Approach , 2000, PATAT.

[59]  Jonathan F. Bard,et al.  Multiple fleet aircraft schedule recovery following hub closures , 2001 .

[60]  M. Renardy Some comments on the surface-tension driven break-up (or the lack of it) of viscoelastic jets , 1994 .

[61]  Cheng-Lung Wu,et al.  Towards the optimisation of the schedule reliability of aircraft rotations , 2002 .

[62]  Suresh Acharya,et al.  US Airways Automates Its Weekend Fleet Assignment , 1999, Interfaces.

[63]  M. F.,et al.  Bibliography , 1985, Experimental Gerontology.

[64]  George L. Nemhauser,et al.  The fleet assignment problem: Solving a large-scale integer program , 1995, Math. Program..