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arXiv · 2505.16748

Revenue Optimization with Price-Sensitive and Interdependent Demand

Julien Laasri·Marc Revol
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Abstract

As Kalyan T. Talluri and Garrett J. Van Ryzin describe in their work [3], Revenue Management aims to maximize an organization's revenue by considering three types of decision categories: structural, pricing, and quantity. In this document, our primary focus will be on decisions related to pricing and quantity for the sale of airline tickets on a direct flight over a certain number of time periods. More specifically, we will only focus on the optimization aspect of this problem. We will assume the demand data to be given, since Air France estimates it beforehand using real data. Similarly, we assume all price options to be predetermined by Air France's algorithms and verified by their analysts. Our objective will be to maximize the revenue of a direct flight by choosing the prices for each product from the predefined set of options. -- Comme d\'ecrit par Kalyan T. Talluri et Garrett J. Van Ryzin dans leur ouvrage [3], le Revenue Management consiste en la maximisation du revenu d'un organisme \`a partir de trois types de cat\'egories de d\'ecision : structurelles, prix et quantit\'e. Dans ce document, nous nous int\'eresserons principalement aux d\'ecisions de type prix et quantit\'e pour la vente de billets d'avion sur un vol direct au cours d'un certain nombre de pas de temps. Plus pr\'ecis\'ement, nous nous situerons dans la partie optimisation du probl\`eme. Nous prendrons ainsi les donn\'ees de demande comme acquises, car elles sont estim\'ees au pr\'ealable par Air France \`a partir des donn\'ees r\'eelles. De m\^eme, pour chaque produit que l'on cherchera \`a vendre, on nous impose en amont les prix possibles que l'on a droit d'utiliser et qui se basent sur des algorithmes d'Air France dont les r\'esultats sont v\'erifi\'es par des analystes. Notre but sera alors de maximiser le revenu d'un vol direct en choisissant les prix de chaque produit parmi ceux impos\'es.

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Julien Laasri, Marc Revol. 2025-05-22. Revenue Optimization with Price-Sensitive and Interdependent Demand. https://arxiv.org/abs/2505.16748

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