Research Article

Joint Optimization of a Dry Port with Multilevel Location and Container Transportation: The Case of Northeast China

Table 2

The parameters and variables and their meanings.

SymbolCategoryMeaning

IIndicesSet of shippers
JIndicesSet of candidate locations of dry ports
GIndicesSet of capacity levels for dry ports
ParametersThe total cost of opening a dry port with capacity level b (USD)
sParametersInvestment payoff period for dry port construction (year)
uParametersCapital discount rate (percentage)
ParametersThe cost of operating a dry port with capacity level per year (USD)
ParametersEconomic cost of container transport from shipper i to dry port j by road (USD)
ParametersEconomic cost of container transport from dry port j to seaport k by railway (USD)
ParametersEconomic cost of container transportation from the rail station in the seaport city to seaport k by road (USD)
ParametersDistance of transport from shipper i to dry port j by road (km)
ParametersDistance of transport from dry port j to seaport k by rail (km)
ParametersDistance of container transport from the railway station in the seaport city to seaport k by road (km)
ParametersBase price of railway delivery (USD)
ParametersBase price of railway operation (USD)
ParametersContainer usage fee (USD)
ParametersContainer cleaning fee (USD)
ParametersContainer handling charges (USD)
ParametersUnloading charges of containers in the yard (USD)
ParametersDiscount coefficient of the dry port with capacity level
WParametersThe price of transport per container from the rail station in the seaport city to seaport s by road (USD per TEU)
ParametersDistance of transport from shipper to seaport s by road (km)
ParametersTime cost of container transport from shipper i to dry port j by road (USD)
ParametersTime cost of container transport from dry port j to seaport k by rail (USD)
ParametersTime cost of container transport from the rail station in the seaport city to seaport k by road (USD)
ParametersCargo storage time at the dry port with capacity level (day)
VParametersAverage value of the cargo per container (USD)
ParametersCurrent deposit interest rate (percentage)
ParametersAverage speed of container transport by rail (km per hour)
ParametersAverage speed of container transport by road (km per hour)
DNParameters365, the number of days in a year
HNParameters24, the number of hours in a day
ParametersCarbon dioxide emission cost of container transport from shipper i to dry port j by road (USD)
ParametersCarbon dioxide emission cost of container transportation from dry port j to seaport k by railway (USD)
ParametersCarbon dioxide emission cost of container transport from the railway station in the seaport city to seaport s by road (USD)
ParametersCarbon dioxide emissions per container per distance by rail (kg eq per container per km)
ParametersCarbon dioxide emissions per container per distance by road (kg eq per container per km)
ParametersCarbon dioxide emissions per container of road and rail transshipment handling (kg eq per TEU)
ParametersUnit cost of carbon dioxide emissions handling in the outside market (USD per kg eq)
nParameters
ParametersCapacity of the dry port with capacity (TEU)
ParametersThe highest level of the dry port that the candidate dry port city j can build
MParameters1,000,000,000, a large enough number
ParametersVolume of containers transported from shippers
Decision variables
Decision variablesWhether containers are transported from shippers to candidate dry ports
Decision variablesVolume of containers transported from shippers to candidate dry ports