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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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) |
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90B10 90C26 91A65 91B69 Applied mathematics. Quantitative methods T57-57.97 Electronic computers. Computer science QA75.5-76.95 |
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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 |
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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 |
work_keys_str_mv |
AT patricemarcotte ahybridapproachtothesolutionofapricingmodelwithcontinuousdemandsegmentation AT gillessavard ahybridapproachtothesolutionofapricingmodelwithcontinuousdemandsegmentation AT alexandreschoeb ahybridapproachtothesolutionofapricingmodelwithcontinuousdemandsegmentation AT patricemarcotte hybridapproachtothesolutionofapricingmodelwithcontinuousdemandsegmentation AT gillessavard hybridapproachtothesolutionofapricingmodelwithcontinuousdemandsegmentation AT alexandreschoeb hybridapproachtothesolutionofapricingmodelwithcontinuousdemandsegmentation |
_version_ |
1718400860232351744 |