Integrated Airline Fleeting and Crew-Pairing Decisions

The tactical planning process of an airline is typically decomposed into several stages among which fleeting, aircraft routing, and crew pairing form the core. In such a decomposed and sequential approach, the output of fleeting forms the input to aircraft routing and crew pairing. In turn, the output to aircraft routing is part of the input to crew pairing. Due to this decomposition, the resulting solution is often suboptimal. We propose a model that completely integrates the fleeting and crew-pairing stages and guarantees feasibility of plane-count feasible aircraft routings, but neglects aircraft maintenance constraints. We design two solution methodologies to solve the model. One is based on a combination of Lagrangian relaxation and column generation, while the other one is a Benders decomposition approach. We conduct computational experiments for a variety of instances obtained from a major carrier.

[1]  Jean-François Cordeau,et al.  Benders Decomposition for Simultaneous Aircraft Routing and Crew Scheduling , 2000, Transp. Sci..

[2]  Cynthia Barnhart,et al.  Improving Crew Scheduling by Incorporating Key Maintenance Routing Decisions , 2003 .

[3]  C. Lemaréchal Nondifferentiable optimization , 1989 .

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

[5]  J. F. Benders Partitioning procedures for solving mixed-variables programming problems , 1962 .

[6]  Cynthia Barnhart,et al.  Integrated Airline Schedule Planning , 1998 .

[7]  Matteo Fischetti,et al.  A Heuristic Algorithm for the Set Covering Problem , 1996, IPCO.

[8]  Marshall L. Fisher,et al.  An Applications Oriented Guide to Lagrangian Relaxation , 1985 .

[9]  George L. Nemhauser,et al.  The aircraft rotation problem , 1997, Ann. Oper. Res..

[10]  Dennis Huisman,et al.  Models and Algorithms for Integration of Vehicle and Crew Scheduling , 2000, J. Sched..

[11]  Jean-François Cordeau,et al.  A computational study of Benders decomposition for the integrated aircraft routing and crew scheduling problem , 2003, Comput. Oper. Res..

[12]  Srini Ramaswamy,et al.  Airline Crew Scheduling with Time Windows and Plane-Count Constraints , 2002, Transp. Sci..

[13]  Dennis Huisman,et al.  Multiple-Depot Integrated Vehicle and Crew Scheduling , 2003, Transp. Sci..

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

[15]  Maddalena Nonato,et al.  An Integrated Approach to Extra-Urban Crew and Vehicle Scheduling* , 1998 .

[16]  Matteo Fischetti,et al.  A Heuristic Method for the Set Covering Problem , 1999, Oper. Res..

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

[18]  Jacques Desrosiers,et al.  A Unified Framework for Deterministic Time Constrained Vehicle Routing and Crew Scheduling Problems , 1998 .

[19]  Diego Klabjan,et al.  Large-Scale Models in the Airline Industry , 2005 .

[20]  Thomas L. Magnanti,et al.  Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria , 1981, Oper. Res..

[21]  Jacques Desrosiers,et al.  Periodic airline fleet assignment with time windows, spacing constraints, and time dependent revenues , 2003, Eur. J. Oper. Res..

[22]  Martin W. P. Savelsbergh,et al.  Branch-and-Price: Column Generation for Solving Huge Integer Programs , 1998, Oper. Res..

[23]  Jacques Desrosiers,et al.  Daily Aircraft Routing and Scheduling , 1994 .

[24]  Cynthia Barnhart,et al.  Itinerary-Based Airline Fleet Assignment , 2002, Transp. Sci..

[25]  Jacques Desrosiers,et al.  Simultaneous Vehicle and Crew Scheduling in Urban Mass Transit Systems , 1998, Transp. Sci..