Airline seat allocation with multiple nested fare classes
Operations Research
The effect of leadtime uncertainty in a simple stochastic inventory model
Management Science
Some remarks on the supermodular order
Journal of Multivariate Analysis
How Larger Demand Variability May Lead to Lower Costs in the Newsvendor Problem
Operations Research
The Underlying Markov Decision Process in the Single-Leg Airline Yield-Management Problem
Transportation Science
A Note on the Single Leg, Multifare Seat Allocation Problem
Transportation Science
Centralized and Competitive Inventory Models with Demand Substitution
Operations Research
Overbooking with Substitutable Inventory Classes
Operations Research
Stochastic Comparisons in Production Yield Management
Operations Research
Revenue Management Games: Horizontal and Vertical Competition
Management Science
Revenue Management for Parallel Flights with Customer-Choice Behavior
Operations Research
Models of the Spiral-Down Effect in Revenue Management
Operations Research
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Consider two markets of different sizes but similar costs and fare structure. All other things being equal, is an airline's expected revenue larger in the market with larger demand? If not, under what circumstances is it possible to compare expected revenues without carrying out a detailed analysis? In this article, we provide answers to these questions by studying the relationship between the optimal expected revenue and the demand distributions when the latter are comparable according to various stochastic orders. For the two-fare class problem with dependent demand we obtain three results. We show that airlines should prefer lesser positive dependence between fare classes when marginal demand distributions are the same. We also describe particular dependence structures under which stochastically larger marginal demand distributions improve optimal expected revenue. Finally, when the dependence between effective demands in the two fare classes arises due to “sell ups,” we show that stochastically larger marginal demand distributions should be preferred. (Sell ups occur when some lower-fare-class customers buy higher-fare tickets upon finding that the former tickets are sold out.) For a problem with an arbitrary number of fare classes and independent demands, we show that stochastically larger demand distributions should be preferred. Numerical examples demonstrating the effect of parameterized demand distributions (with appropriate stochastic ordering) and dependence structures are also presented.