Many transport service providers operate on hub-and-spoke network structures. Major
operators may have several dedicated hub facilities that are leased for a time horizon rather
than being owned or constructed. For a given discrete planning horizon, service providers
must decide on the location of the hub ports (ie terminals), the period when the lease
contract starts, the period when the existing contracts must be terminated and the flow
routing over the entire planning horizon so as to minimize the total operational cost. Thus …

In this paper we consider a phase-in/phase-out hub location problem. In particular, we
assume that a transportation system is currently operating which can be changed in the
future. A planning horizon partitioned into several consecutive time period is considered.
Changes in the network structure can occur in the hubs and in the hub edges. More
specifically, existing elements can be removed and new elements can be established. The
problem consists in deciding, which network structure should be operating in each period of …