Distribution-free bounds for the expected marginal seat revenue heuristic with dependent demands
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This paper extends the fundamental static revenue management capacity control problem by incorporating statistical dependence. A single-resource is sold through multiple fare classes each with a corresponding stochastic, but not necessarily independent, demand. We explicitly account for any level of positive or negative dependence and focus on the traditional macro-level demand model in order to provide distribution-free bounds on the foundational expected marginal seat revenue heuristics, both without and with buy-up. We illustrate for the case with three fare classes and demand drawn from (i) normal distributions, and (ii) normal and exponential distributions.
KeywordsRevenue management Capacity allocation Expected marginal seat revenue Stochastic dependence
- Belobaba, P. 1987b. Air travel demand and airline seat inventory management. PhD thesis, Massachusetts Institute of Technology,Google Scholar
- Denuit, M., C. Genest, and É. Marceau. 1999. Stochastic bounds on sums of dependent risks. Insurance: Mathematics and Economics 25 (1): 85–104.Google Scholar
- Littlewood, K. 1972. Forecasting and control of passenger bookings. In: AGIFORS 12th Annual Symposium Proceedings, vol. 12, 95–117. Nathanya, Israel.Google Scholar
- Phillips, R.L. 2005. Pricing and revenue optimization. Palo Alto: Stanford University Press.Google Scholar