Fig 1.
Double cycling process.
Fig 2.
Unloading and loading plan of a ship bay.
Fig 3.
Double cycling with the sequence from quayside to seaside.
Fig 4.
Double cycling with the sequence optimized by Johnson’s rule.
Fig 5.
Operation sequence by tier with single cycling.
Fig 6.
Double cycling with multiple QCs.
Table 1.
Examples using the Lagrangian relaxation based heuristic.
Fig 7.
Unloading and loading plan of a bay.
Fig 8.
Completion time of a QC unloading from landside to quayside.
Fig 9.
Completion time optimized with Johnson’s rule.
Table 2.
Results for five QCs.
Table 3.
Comparison of the LRH with the B&B method.
Table 4.
Problem size of each instance.
Table 5.
Results of each instance.
Fig 10.
Sensitivity of the number of QCs to the computation time.
Fig 11.
Effect of the number of QCs on the optimization result.
Fig 12.
Sensitivity of the number of rows to the computation time.
Fig 13.
Sensitivity of the number of time periods to the computation time.