English

A combinatorial algorithm for constrained assortment optimization under nested logit model

Optimization and Control 2016-03-31 v1

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(mn2)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(mn2logmn)O(m n^2 \log mn) time, is proposed to find an optimal assortment.

Keywords

Cite

@article{arxiv.1603.09014,
  title  = {A combinatorial algorithm for constrained assortment optimization under nested logit model},
  author = {Tian Xie},
  journal= {arXiv preprint arXiv:1603.09014},
  year   = {2016}
}
R2 v1 2026-06-22T13:21:06.030Z