The aim of this work is to address the products allocation problem in a multi-layers warehouse
with compatibility constraints among the classes. The problem under study represents
one of the most relevant topic in Logistics. The goal is to reduce, as much as
possible, the delivery times; the inventories; the total logistic costs and to guarantee, at
the same time, higher service levels (i.e., high customers satisfaction degree). In this work,
a linear model to mathematically represent the problem is developed and its performance
is evaluated on a set of instances, representing realistic situations. A sensitivity analysis is
also carried out by considering the most relevant parameters of the model. Finally, an Iterated
Local Search based heuristic is defined in order to solve large scale scenarios in a reasonable
amount of time. Numerical results show that the proposed heuristic is able to find
good quality solutions with a computational effort lower than that required to solve the
proposed mathematical model.