Bilevel Programming Model of Urban Public Transport Network under Fairness Constraints

Table 5

Variable list description.

Symbol	Symbolic Meaning	Subscript and Superscript Meaning
1 Urban traffic network of multi-mode and multi-user
	the network formed by the -th group choosing the -th traffic mode	the -th group; traffic mode
	the total travel amount of OD pair	Any OD pair
	the travel demand of the i-th group OD to	the -th group
	the travel demand of the -th group on OD pair choosing the traffic mode	traffic mode
	the travel demand on the segment a in the subnet	segment ; the -th group; traffic mode
	the travel demand of the OD pair on the route in the subnet	OD pair ; route ; the -th group; traffic mode
	Boolean variables associated with routes and segments	OD pair ; route ; segment ; the -th group; traffic mode
	the road segment traffic on the segment in the subnet	segment ; the -th group; traffic mode
	the equivalent car conversion coefficient of the traffic mode	traffic mode
	the average number of passengers in the traffic mode	traffic mode
	the road traffic on the route	OD pair ; route ; the -th group; traffic mode
	the travel time on the segment in the subnet	segment ; the -th group; traffic mode
	the free flow time on the segment in the subnet	segment ; the -th group; traffic mode
	the travel capacity of the -th travel mode for all groups on the segment	segment ; traffic mode
	the travel time on the route in the subnet	OD pair ; route ; the -th group; traffic mode
	the probability that the i-th travel group chooses the route r in the subnet	OD pair ; route ; the -th group; traffic mode
	the familiarity of different travel groups with the road network	the -th group
2 Model Construction and Solution
	the relative deprivation of travel costs incurred by all travelers in the multi-mode transportation network	Serial number
	the travel cost of selecting the -th way for the i-th resident group on the OD pair in the subnet	OD pair ; the -th group; traffic mode
	the travel cost of selecting the -th way in the subnet of the -th resident group on the OD pair	OD pair ; the -th group; traffic mode
	the travel time of the -th mode in the sub- of the -th resident group on the OD pair	OD pair ; the -th group; traffic mode
	the time value of the -th resident group	the -th group
	the cost of vehicle use for selecting the -th traffic mode	traffic mode
	the probability that the -th group selects the traffic mode on OD pair	OD pair ; the -th group; traffic mode
	the correction parameter
	the ratio of low income group	Serial number
	the ratio of medium income group	Serial number
	the ratio of high income group	Serial number
Z1	the ratio of road resources occupied by the low income group	Serial number
Z2	the ratio of road resources occupied by the medium income group	Serial number
Z3	the ratio of road resources occupied by the high income group	Serial number
	the road area occupied by the single vehicle of the -th travel mode	traffic mode
	the standard passenger number of the single vehicle of the -th travel mode	traffic mode
	the area M2 enclosed by the line of points O, D1, D2, A, B	Serial number
	the area enclosed by the Lorenz curve and the absolute equality line	Serial number
	the road area Gini coefficient	Serial number
y3	The sum of travel time	Serial number