Research Article

Locating Urban Consolidation Centers under Shipper Rationality

Table 1

Nomenclature.

Location of the ith shipper’s distribution center
Location of the consolidation center (if there is any)
Location of the end of the corridor
Distance from point a to point b (e.g., is the distance from distribution center i to the consolidation center)
Customer density for shipper i
Distance from the end of the corridor to the start of the service area
Distance from the end of the corridor to the end of the service area
rDistance from the start of the service area to the end of the service area
SArea of the service area
Vehicle speed when traveling on the corridor
Vehicle speed when traveling along and in the service area
BLength of the corridor
wWidth of a zone
lLength of a zone
Capacity of the vehicle
Total cost of delivery for shipper i without consolidation
Total cost of delivery for shipper i when shipper i and shipper j use a consolidation center to bundle their freight
Total line-haul travel time for shipper i without consolidation
Total local travel time for shipper i without consolidation
Total travel time for shipper i composed of total line-haul and local travel time
Total travel time for shipper i when shipper i and shipper j use a consolidation center to bundle freight
NiTotal number of vehicles for shipper i without consolidation
Number of vehicles in the first leg of the trip from the distribution center to the consolidation center for shipper i
Number of vehicles in the second leg of the trip from the consolidation center to delivery points
Number of zones along the transverse direction
Number of zones along the radial direction
Unit cost per unit travel time
Unit fixed cost for each vehicle