A Travel Demand Response Model in MaaS Based on Spatiotemporal Preference Clustering

Table 2

Definitions of variables.

Symbol	Meaning and format	Meaning of superscript/subscript and format	Location of appearance in the text
	Data of demand points		Table 1 in Section 3.1 of the text
	Set of reservation demand points
	Set of departure time
	Set of arrival time
	Set of departure location
	Set of arrival location
	Traveling preference priority
,	Reservation demand point; italic and lower case	and are the serial number of the reservation demand points, italic and lower case
	Departure time of reservation demand point; italic and lowercase, unit: min	is the serial number of the reservation demand point; italic and lowercase
	Arrival time of reservation demand point; italic and lowercase, unit: min	is the serial number of the reservation demand point; italic and lowercase
	Departure location of reservation demand point; italic and lowercase, unit: km	is the serial number of the reservation demand point; italic and lowercase
	Arrival location of reservation demand point; italic and lowercase, unit: km	is the serial number of the reservation demand point; italic and lowercase
	Priority order of traveling preference of reservation demand point; italic and lowercase	is the serial number of the reservation demand point; represent the traveling preference of the fixed mode, the semifixed mode, and the flexible mode; italic and lowercase
	Set of reservation point with the -th traveling preference and -th iteration of departure time; italic and uppercase	is the serial number of traveling preference, is the number of iterations, where and ; italic and lowercase	Contents of Section 3.2 in the text
	Distance between clusters of reservation demand points calculated by the average linkage method; italic and uppercase, unit: min	and are the serial number of clusters of reservation demand points; italic, lowercase	Equation 1 in the text
,	Clusters of reservation demand points, and each cluster contains at least one reservation demand point; italic and uppercase	and are the serial number of reservation demand points; italic and lowercase
,	The number of points in the reservation demand point cluster; italic and lower case	and are the serial number of reservation demand point clusters; italic and lowercase
,	The departure time of a point in the reservation demand point cluster italic and lowercase, unit: min	and are the serial number of reservation demand point cluster; italic and lowercase
	Time span; unit: min		Equation 2 in the text
	The set of dense points with the same departure time preference; italic and uppercase
	The set of discrete points with the same departure time preference; italic and uppercase
	Minimum number of passengers		Equation 3 in the text
	The passenger capacity of the -th means of transport; italic and lowercase	is the serial number of traveling preference, where
	The expected full load rate of the -th means of transport; italic and lowercase	is the serial number of traveling preference, where
	The set of reservation points with the -th traveling preference and the -th iteration of arrival time; italic and uppercase	is the serial number of traveling preference, and is the times of iterations, where , ; italic and lowercase	Contents of Section 3.3 in the text
	The set of discrete points with the same arrival time preference; italic and uppercase
	The set of dense points with the same arrival time preference; italic and uppercase		Equation 4 in the text
	The set of discrete points on the temporal dimension; italic and uppercase
	Reservation demand points in the dense point sets and ; italic and lowercase	is the serial number of the reservation demand point; italic and lowercase
	Reservation demand points in the set of isolated points and ; italic and lowercase	is the serial number of the reservation demand point; italic and lowercase
	The set of dense points of the fixed transport mode in the time dimension italic and uppercase	represents the traveling preference for the fixed mode of transport; italic and lowercase	Contents of Section 3.3 in the text
	The set of dense points of the semifixed transport mode in the time dimension; italic and uppercase	represents the traveling preference for the semifixed mode of transport; italic and lowercase
	The set of dense points of the flexible transport mode in the time dimension; italic and uppercase	represents the traveling preference for the flexible mode of transport; italic and lowercase
	The set of all reservation demand points within a circle with as the center and as the radius; italic and lowercase	is the serial number of the reservation demand point; italic and lowercase	Contents of Section 4.1 and Equation 5 in the text
	The set of reservation demand points within the sample; italic and uppercase
	The distance between two reservation demand points and ; italic and lowercase, unit: km	and are the serial number of reservation demand points; italic and lowercase
	The number of reservation points within the neighborhood of ; italic and lowercase	is the serial number of the reservation demand point; italic and lowercase
	The minimum number of passengers that are responded to
	The set of departure location clusters with a preference for the fixed transport mode; italic and uppercase	represents the traveling preference for the fixed mode of transport; italic and lowercase
	The set of departure location clusters with a preference for the semifixed transport mode; italics and uppercase	represents the traveling preference for the semifixed mode of transport; italic and lowercase
	The set of departure location clusters with a preference for the flexible transport mode; italics and uppercase	represents the traveling preference for the flexible mode of transport; italic and lowercase
	The set of arrival location clusters with a preference for the fixed transport mode; italics and uppercase	represents the traveling preference for the fixed mode of transport; italics and lowercase	Contents of Section 4.2 and Equation 6 in the text
	The set of arrival location clusters with a preference for the semifixed transport mode; italics and uppercase	represents the traveling preference for the semifixed mode of transport; italics and lowercase
	The set of arrival location clusters with a preference for the flexible transport mode; italics and uppercase	represents the traveling preference for the flexible mode of transport; italics and lowercase
	The set of dense points of fixed transport mode in the spatiotemporal dimension; italics and uppercase	represents the traveling preference for the fixed mode of transport; italics and lowercase
	The set of dense points of semifixed mode in the spatiotemporal dimension; italics and uppercase	represents the traveling preference for the semifixed mode of transport; italics and lowercase
	The set of dense points of spatiotemporal preference for the flexible transport mode; italics and uppercase	represents the traveling preference for the flexible mode of transport; italics and lowercase
	The set of dense points of different spatiotemporal preferences; italics and uppercase	is the serial number of traveling preference, and ; italics and lowercase
	The set of discrete points of spatiotemporal preference italics and uppercase