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Symbol | Category | Meaning |
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I | Indices | Set of shippers |
J | Indices | Set of candidate locations of dry ports |
G | Indices | Set of capacity levels for dry ports |
| Parameters | The total cost of opening a dry port with capacity level b (USD) |
s | Parameters | Investment payoff period for dry port construction (year) |
u | Parameters | Capital discount rate (percentage) |
| Parameters | The cost of operating a dry port with capacity level per year (USD) |
| Parameters | Economic cost of container transport from shipper i to dry port j by road (USD) |
| Parameters | Economic cost of container transport from dry port j to seaport k by railway (USD) |
| Parameters | Economic cost of container transportation from the rail station in the seaport city to seaport k by road (USD) |
| Parameters | Distance of transport from shipper i to dry port j by road (km) |
| Parameters | Distance of transport from dry port j to seaport k by rail (km) |
| Parameters | Distance of container transport from the railway station in the seaport city to seaport k by road (km) |
| Parameters | Base price of railway delivery (USD) |
| Parameters | Base price of railway operation (USD) |
| Parameters | Container usage fee (USD) |
| Parameters | Container cleaning fee (USD) |
| Parameters | Container handling charges (USD) |
| Parameters | Unloading charges of containers in the yard (USD) |
| Parameters | Discount coefficient of the dry port with capacity level |
W | Parameters | The price of transport per container from the rail station in the seaport city to seaport s by road (USD per TEU) |
| Parameters | Distance of transport from shipper to seaport s by road (km) |
| Parameters | Time cost of container transport from shipper i to dry port j by road (USD) |
| Parameters | Time cost of container transport from dry port j to seaport k by rail (USD) |
| Parameters | Time cost of container transport from the rail station in the seaport city to seaport k by road (USD) |
| Parameters | Cargo storage time at the dry port with capacity level (day) |
V | Parameters | Average value of the cargo per container (USD) |
| Parameters | Current deposit interest rate (percentage) |
| Parameters | Average speed of container transport by rail (km per hour) |
| Parameters | Average speed of container transport by road (km per hour) |
DN | Parameters | 365, the number of days in a year |
HN | Parameters | 24, the number of hours in a day |
| Parameters | Carbon dioxide emission cost of container transport from shipper i to dry port j by road (USD) |
| Parameters | Carbon dioxide emission cost of container transportation from dry port j to seaport k by railway (USD) |
| Parameters | Carbon dioxide emission cost of container transport from the railway station in the seaport city to seaport s by road (USD) |
| Parameters | Carbon dioxide emissions per container per distance by rail (kg eq per container per km) |
| Parameters | Carbon dioxide emissions per container per distance by road (kg eq per container per km) |
| Parameters | Carbon dioxide emissions per container of road and rail transshipment handling (kg eq per TEU) |
| Parameters | Unit cost of carbon dioxide emissions handling in the outside market (USD per kg eq) |
n | Parameters | |
| Parameters | Capacity of the dry port with capacity (TEU) |
| Parameters | The highest level of the dry port that the candidate dry port city j can build |
M | Parameters | 1,000,000,000, a large enough number |
| Parameters | Volume of containers transported from shippers |
| Decision variables | |
| Decision variables | Whether containers are transported from shippers to candidate dry ports |
| Decision variables | Volume of containers transported from shippers to candidate dry ports |
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