Strengthening Dual Bounds for Multicommodity Capacitated Network Design with Unsplittable Flow Constraints

Multicommodity capacitated network design (MCND) models can be used to optimize the consolidation of shipments within e-commerce fulfillment networks. In practice, fulfillment networks require that shipments with the same origin and destination follow the same transfer path. This unsplittable flow requirement complicates the MCND problem, requiring integer programming (IP) formulations with binary variables replacing continuous … Read more

A note on the Lasserre hierarchy for different formulations of the maximum independent set problem

In this note, we consider several polynomial optimization formulations of the max- imum independent set problem and the use of the Lasserre hierarchy with these different formulations. We demonstrate using computational experiments that the choice of formulation may have a significant impact on the resulting bounds. We also provide theoretical justifications for the observed behavior. … Read more