Research Article

Implementation Flexibility of Multiperiod Rail Line Design with Consideration of Uncertainties in Population Distribution

Table 4

Notations.

SymbolDefinitionValue

Planning and operation horizon (Years)

Interest rate

Growing factor of total population density along the transportation corridor

Distance between residential location and CBD

Average station spacing (HK$)10

Fixed component of fare for using the rail service (HK$)2.5

Variable component of fare per unit distance for using the rail service (HK$/km)0.4

Headway of train operation during morning peak-hour in year (Minutes)

Rail length in year (Km)20

Random term of perturbed population distribution function

Random term of perturbed travel demand function

Random term of perturbed disutility function

Sensitivity parameter in travel demand function0.002

Sensitivity parameter in probability function of choosing to live at residential locations0.03

Parameter of waiting cost0.5

Parameter of rent function8

Commonality factor0.5

Parameter of rent function2

Average annual number of trips to the CBD per household365

Average daily number of trips to the CBD per household1.0

Parameters for travel cost function80/100/50

construction cost for rail line per kilometer (million HK$)8.76

construction cost of each rail station (million HK$)13.14

Annual operation and maintenance cost of the rail transit line project (million HK$)137.97