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| Indices | Representation |
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| Index of the terminals, and . |
| Index of the transportation service, and . |
| () | Directed arc from terminal to terminal , and . |
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| Sets | Representation |
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| Set of rail services on , and . |
| Set of road services on , and . |
| Set of the transportation services on , , and . |
| Set of the predecessor terminals to terminal , and . |
| Set of the successor terminals to terminal , and . |
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| Parameters | Representation |
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| Operation start time of rail service at terminal . |
| Operation cutoff time of rail service at terminal . |
| Scheduled arrival time of rail service at terminal . |
| Scheduled departure time of service from terminal . |
| Available capacity of rail service at terminal when being operated on , unit: TEU. |
| Transportation distance of service on , unit: km. |
| Transportation time of service on , unit: h. |
| Transportation costs of moving commodity on by service , unit: ¥. |
| Unit costs of loading/unloading operation of service , unit: ¥/TEU. |
| Unit inventory costs of rail service, unit: ¥/TEU-h. |
| Additional charges for picking up the unit commodity from shipper at a rail terminal by rail service at origin, unit: ¥/TEU. |
| Additional charges for delivering the unit commodity from rail terminal to receiver by rail service at destination, unit: ¥/TEU. |
| A parameter indicating whether origin pickup service is needed for commodity . If the service is needed, ; otherwise, . |
| A parameter indicating whether destination delivery service is needed for commodity . If the service is needed, ; otherwise, . |
| Unit carbon dioxide emissions costs, unit: ¥/g. |
| Emission factor for carbon dioxide of service , unit: g/TEU-km. |
| A large positive number. |
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| Decision variables | Representation |
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| 0-1 decision variable. If commodity is moved from terminal to terminal by service , ; otherwise, . |
| Arrival time of commodity at terminal . |
| Charged inventory time of commodity at terminal before being moved on by rail service , unit: h. |
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