A PTAS for capacitated sum-of-ratios optimization

  • Authors:
  • Paat Rusmevichientong;Zuo-Jun Max Shen;David B. Shmoys

  • Affiliations:
  • Cornell University, United States;UC Berkeley, United States;Cornell University, United States

  • Venue:
  • Operations Research Letters
  • Year:
  • 2009

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Abstract

Motivated by an application in assortment planning under the nested logit choice model, we develop a polynomial-time approximation scheme for the sum-of-ratios optimization problem with a capacity constraint and a fixed number of product groups.