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The Geometry of Demand Collapse: N-Ball Volume, the Recurrence Vₙ = (2π/n)·Vₙ₋₂, and the Slutsky Decomposition of Hotel Revenue Metrics

Xuan Tran, Rachel Austin, Kendall Morman

This paper applies the n-dimensional unit ball recurrence Vₙ = (2π/n)·Vₙ₋₂ to hotel revenue management, demonstrating that the seventh revenue dimension first destroys feasible optimization volume (th...

Journal of Revenue and Pricing Management 2026-04-21 rs-9349641
n-ball volume Slutsky decomposition hotel revenue management ADR RevPAR occupancy curse of dimensionality high-dimensional optimization Total Revenue Management spiky spheres
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