A combinatorial algorithm for constrained assortment optimization under nested logit model

Tian Xie

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arXiv · 1603.09014

A combinatorial algorithm for constrained assortment optimization under nested logit model

Tian Xie

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Abstract

We consider the assortment optimization problem with disjoint-cardinality constraints under two-level nested logit model. To solve this problem, we first identify a candidate set with $O(mn^2)$ assortments and show that at least one optimal assortment is included in this set. Based on this observation, a fast algorithm, which runs in $O(m n^2 \log mn)$ time, is proposed to find an optimal assortment.

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Tian Xie. 2016-03-30. A combinatorial algorithm for constrained assortment optimization under nested logit model. https://arxiv.org/abs/1603.09014

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