Table 1 Time interval matrix between different types of vehicles.

From: A modified particle swarm optimization algorithm for a vehicle scheduling problem with soft time windows

Vehicle type

Front

Light

Medium

Heavy

Behind

Light

\(s_{ij}^{11}\)

\(s_{ij}^{12}\)

\(s_{ij}^{13}\)

Medium

\(s_{ij}^{21}\)

\(s_{ij}^{22}\)

\(s_{ij}^{23}\)

Heavy

\(s_{ij}^{31}\)

\(s_{ij}^{32}\)

\(s_{ij}^{33}\)