Sensitivity analysis of stochastic user equilibrium and its application to delivery services pricing

Abstract : In e-commerce the delivery of products is a crucial part for the success of a e-shop. An efficient delivery system should offer various services and predict customersbehavior. The latter are influenced by the price of a delivery service, but also byits quality (congestion effect induced by customers’ choices) in a higly competitveenvironment. In this study, we introduce a bilevel model to optimize a deliverysystem. At the upper level, the provider control services’ tariffs. At the lower level,users react by choosing their delivery service according to a utility function whichincorporates the provider tariff and the congestion effect. We model the customers’reaction using Stochastic User Equilibrium (SUE). We also present a sensitivityanalysis for the SUE that gives explicit expression of the derivatives of customersdistribution with respect to services’ tariffs. Based on a local search that exploit thederivatives information, a new heuristic algorithm for the bilevel delivery servicespricing problem is developed and compared to others existing approachs.
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Submitted on : Wednesday, December 17, 2014 - 1:43:59 PM
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Bayrem Tounsi, Yezekael Hayel, Dominique Quadri, Luce Brotcorne, Tania Jimenez. Sensitivity analysis of stochastic user equilibrium and its application to delivery services pricing. The 5th International Conference on Metaheuristics and Nature Inspired Computing, Oct 2014, Marrakech, Morocco. ⟨hal-01096380⟩

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