The fleet assignment problem: solving a large-scale integer program
Mathematical Programming: Series A and B
Daily aircraft routing and scheduling
Management Science
Combinatorial optimization
An Analysis of Some Graph Theoretical Cluster Techniques
Journal of the ACM (JACM)
Corrections to Bierstone's Algorithm for Generating Cliques
Journal of the ACM (JACM)
Algorithm 457: finding all cliques of an undirected graph
Communications of the ACM
Branch-And-Price: Column Generation for Solving Huge Integer Programs
Operations Research
The Aircraft Maintenance Routing Problem
Operations Research
Flight String Models for Aircraft Fleeting and Routing
Transportation Science
An Approximate Model and Solution Approach for the Long-Haul Crew Pairing Problem
Transportation Science
The Operational Airline Crew Scheduling Problem
Transportation Science
The Preferential Bidding System at Air Canada
Transportation Science
Transportation Science
Benders Decomposition for Simultaneous Aircraft Routing and Crew Scheduling
Transportation Science
Itinerary-Based Airline Fleet Assignment
Transportation Science
Improving Crew Scheduling by Incorporating Key Maintenance Routing Decisions
Operations Research
Applications of Operations Research in the Air Transport Industry
Transportation Science
An integrated aircraft routing, crew scheduling and flight retiming model
Computers and Operations Research
Computers and Operations Research
Dynamic Aggregation of Set-Partitioning Constraints in Column Generation
Operations Research
Computers and Operations Research
Integrated Airline Fleeting and Crew-Pairing Decisions
Operations Research
INFORMS Journal on Computing
An exact algorithm for IP column generation
Operations Research Letters
INFORMS Journal on Computing
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We describe models and exact solutions approaches for an integrated aircraft fleeting and routing problem arising at TunisAir. Given a schedule of flights to be flown, the problem consists of determining a minimum cost route assignment for each aircraft so as to cover each flight by exactly one aircraft while satisfying maintenance activity constraints. We investigate two tailored approaches for this problem: Benders decomposition and branch-and-price. Computational experiments conducted on real-data provide evidence that the branch-and-price approach outperforms the Benders decomposition approach and delivers optimal solutions within moderate CPU times. On the other hand, the Benders algorithm yields very quickly high quality near-optimal solutions.