Research projects

Project CEMAPRE internal

TitleTwo-index formulations
ParticipantsRaquel Bernardino (Principal Investigator)
SummaryIncompatibility constraints on routing problems are a new stream of research in the Operations
Research community. These constraints are motivated by practical applications: food and toxic
products cannot be transported together, or clients require an exclusive service that cannot be
shared with others. It is standard practice in the literature to use three-index variables to
formulate these constraints; however, in [1], the authors proposed a two-index formulation to model
the incompatibility constraints. Therefore, studying new modeling techniques for incompatibility
constraints may contribute to the literature on routing problems with incompatibility constraints.
[1] Bernardino, R., & Paias, A. (2022). The family traveling salesman problem with incompatibility
constraints. Networks, 79(1), 47-82.