This paper proposes a mathematical programming approach for empty
container management. Since directional imbalances in trade activities result
in a surplus or shortage of empty containers in ports and depots, their
management can be thought of as a min cost flow problem whose arcs represent
services routes, inventory links and decisions concerning the time and place to
lease containers from external sources. We adopt an hourly time-step in a
dynamic network and, although this time-period generates large-size instances,
the two implemented algorithms show a good computational efficiency. A
possible case study of the Mediterranean basin is proposed and results are
presented with a graphical representation, providing a useful support to
decision-makers in the field
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