A note on 'Collaborative hub location problem under cost uncertainty'

TL;DR

This paper critiques existing models for the collaborative hub location problem under cost uncertainty, highlighting that they lack true elements of collaboration despite their intended purpose.

Contribution

It clarifies that the previously proposed models do not genuinely incorporate collaborative activities, addressing a gap in the modeling approach.

Findings

Existing models lack true collaboration elements

The models do not accurately represent collaborative hub location problems

Clarification of modeling flaws in prior work

Abstract

Three models were presented in M.K. Khakim Habibi, Hamid Allaoui, Gilles Goncalves, Collaborative hub location problem under cost uncertainty, Computers & Industrial Engineering Volume 124, October 2018, Pages 393-410 as models for collaborative Capacitated Multiple Allocation Hub Location Problem. In this note, we point out a few flaws in modeling. In particular, we elaborate and explain that none of the those models incorporates any element of a collaborative activity.