Physics

Multimodal transport

Computer network

Mathematics

Operations research

Gene

Flow network

Interdependent networks

Distributed computing

Mathematical optimization

World Wide Web

Criticality

Engineering

Political science

Interdependence

Nuclear physics

Chemistry

Network topology

Transport engineering

Computer science

Complex network

Biochemistry

Robustness (evolution)

Reliability Engineering & System Safety

Multimodal freight transport allows switching among different modes of transport to utilize transport facilities more efficiently. This paper proposes an approach on network modeling and robustness assessment for multimodal freight transport networks, where the nodes represent junctions, terminals and crossings, and the links represent pathways. The network model captures the features of interconnection and interdependency. Freight can switch between different modalities at interconnected terminals, while disruption of a single interdependent node (e.g., bridge, tunnel, railway crossing) affects multiple modalities. Considering disruptions of infrastructure elements and capacity degradation of pathways as perturbations, the network robustness is evaluated as the increment of the total travel time caused by these perturbations. We apply our robustness assessment model to the Dutch freight transport, taking into account three modalities: inland waterway, road and railway. The node criticality, defined as the impact of a node removal on the total travel time, resembles a power-law distribution, independent of different traffic assignments. This scale-free property implies a relatively robust state of the network against single random disruptions. Further, we show that the most critical nodes can be roughly identified by their topological properties. Our research helps to schedule the maintenance by assigning priority to the critical infrastructure.

Robustness assessment of multimodal freight transport networks