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Indices and sets |
| The index of ports |
| The set of ports |
| The service route |
| The set of service route |
| The container size |
| The set of container size |
| The set of ports on service route |
| The port corresponding to the stop on service route |
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Input parameters |
| The beginning time when service arrives at its stop |
| The set of beginning time when service arrives at its stop |
| The ending time when service arrives at its stop |
| The set of ending time when service arrives at its stop |
| The transportation time from stop to the next stop on service route |
| The number of days that the service stays at stop |
| The capacity of one container size (capacity here means volume and weight) |
| The quantity of the supply of empty containers of size at port at time |
| The quantity of the demand of empty containers of size at port at time |
| The remaining capacity for empty containers on service route when leaving stop at time (laden container excluded) |
| The cost of unloading one container with size at port at time |
| The cost of loading one container with size at port at time |
| Per period cost of storing one container with size at port at time |
| The penalty cost of one container with size at port at time |
| The transportation cost from stop to the next stop on service route for one container with size |
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Decision variables |
| The number of empty containers of size unloaded at stop on service route at time |
| The number of empty containers with size loaded at stop on service route at time |
| The number of empty containers with size stored at port at time |
| The number of empty containers with size that cannot be satisfied by the empty containers at port at time |
| The number of empty containers with size transported from stop to the next stop on service route at time |
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