A hybrid approach to the solution of a pricing model with continuous demand segmentation

Price optimization fits naturally the framework of bilevel programming, where a leader integrates within its decision process the reaction of rational customers. This paper addresses the situation where the users of a transportation network minimize a weighted sum of travel delay and out-of-pocket c...

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Autores principales: Patrice Marcotte, Gilles Savard, Alexandre Schoeb
Formato: article
Lenguaje:EN
Publicado: Elsevier 2013
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Acceso en línea:https://doaj.org/article/decece5344a146ee945df0deccae8ebd
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spelling oai:doaj.org-article:decece5344a146ee945df0deccae8ebd2021-12-02T05:00:35ZA hybrid approach to the solution of a pricing model with continuous demand segmentation2192-440610.1007/s13675-012-0005-5https://doaj.org/article/decece5344a146ee945df0deccae8ebd2013-05-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2192440621000149https://doaj.org/toc/2192-4406Price optimization fits naturally the framework of bilevel programming, where a leader integrates within its decision process the reaction of rational customers. This paper addresses the situation where the users of a transportation network minimize a weighted sum of travel delay and out-of-pocket cost, each user having its own monetary valuation of travel delay. The resulting infinite-dimensional problem is solved by a hybrid algorithm that alternates between global (combinatorial) and local (descent) phases, and achieves near-optimal solutions under reasonable assumptions.Patrice MarcotteGilles SavardAlexandre SchoebElsevierarticle90B1090C2691A6591B69Applied mathematics. Quantitative methodsT57-57.97Electronic computers. Computer scienceQA75.5-76.95ENEURO Journal on Computational Optimization, Vol 1, Iss 1, Pp 117-142 (2013)
institution DOAJ
collection DOAJ
language EN
topic 90B10
90C26
91A65
91B69
Applied mathematics. Quantitative methods
T57-57.97
Electronic computers. Computer science
QA75.5-76.95
spellingShingle 90B10
90C26
91A65
91B69
Applied mathematics. Quantitative methods
T57-57.97
Electronic computers. Computer science
QA75.5-76.95
Patrice Marcotte
Gilles Savard
Alexandre Schoeb
A hybrid approach to the solution of a pricing model with continuous demand segmentation
description Price optimization fits naturally the framework of bilevel programming, where a leader integrates within its decision process the reaction of rational customers. This paper addresses the situation where the users of a transportation network minimize a weighted sum of travel delay and out-of-pocket cost, each user having its own monetary valuation of travel delay. The resulting infinite-dimensional problem is solved by a hybrid algorithm that alternates between global (combinatorial) and local (descent) phases, and achieves near-optimal solutions under reasonable assumptions.
format article
author Patrice Marcotte
Gilles Savard
Alexandre Schoeb
author_facet Patrice Marcotte
Gilles Savard
Alexandre Schoeb
author_sort Patrice Marcotte
title A hybrid approach to the solution of a pricing model with continuous demand segmentation
title_short A hybrid approach to the solution of a pricing model with continuous demand segmentation
title_full A hybrid approach to the solution of a pricing model with continuous demand segmentation
title_fullStr A hybrid approach to the solution of a pricing model with continuous demand segmentation
title_full_unstemmed A hybrid approach to the solution of a pricing model with continuous demand segmentation
title_sort hybrid approach to the solution of a pricing model with continuous demand segmentation
publisher Elsevier
publishDate 2013
url https://doaj.org/article/decece5344a146ee945df0deccae8ebd
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