The aggregation principle in scenario analysis stochastic optimization
Algorithms and model formulations in mathematical programming
Scenarios and policy aggregation in optimization under uncertainty
Mathematics of Operations Research
The fleet assignment problem: solving a large-scale integer program
Mathematical Programming: Series A and B
On the Rate of Convergence of Optimal Solutions of Monte Carlo Approximations of Stochastic Programs
SIAM Journal on Optimization
Flight String Models for Aircraft Fleeting and Routing
Transportation Science
Itinerary-Based Airline Fleet Assignment
Transportation Science
Robust Airline Fleet Assignment: Imposing Station Purity Using Station Decomposition
Transportation Science
Using scenario trees and progressive hedging for stochastic inventory routing problems
Journal of Heuristics
Robust airline schedule design in a dynamic scheduling environment
Computers and Operations Research
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Recently, airlines and aircraft manufacturers have realized the benefits of the emerging concept of dynamic capacity allocation, and have initiated advanced decision support systems to assist them in this respect. Strategic airline fleet planning is one of the major issues addressed through such systems. We present background research connected with the dynamic allocation concept, which accounts explicitly for the stochastic nature of passenger demand in the fleet composition problem. We address this problem through a scenario aggregation-based approach and present results on representative case studies based on realistic data. Our investigations establish clear benefits of a stochastic approach as compared with deterministic formulations, as well as its implementation feasibility using state-of-the-art optimization software.