On upper bounds for assortment optimization under the mixture of multinomial logit models

作者: Sumit Kunnumkal

DOI: 10.1016/J.ORL.2015.01.010

关键词: RevenueUpper and lower boundsNo-arbitrage boundsMathematicsMathematical optimizationCustomer choiceMultinomial logistic regressionOptimization problem

摘要: The assortment optimization problem under the mixture of multinomial logit models is NP-complete and there are different approximation methods to obtain upper bounds on optimal expected revenue. In this paper, we analytically compare obtained by methods. We propose a new, tractable approach construct an bound revenue show that it obtains tightest among existing approaches in literature bounds.

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