Optimization of High-Speed Railway Line Planning Considering Extra-Long Distance Transportation

Table 4

The meaning of symbols of line planning optimal model.

	Symbols	The meaning of symbols
Variable symbols		The train in the network (Inputs)
		The riding scheme
		Required time for passenger volume of train p that is transported by scheme q
		Transfer time for passenger volume of train p that is transported by scheme q
		Travel distance of train p (Inputs)
		is fixed number of passengers of train p (Inputs)
		All the passenger volume through the train p transport (Inputs)
		Passenger volume of train in the section
		The train is included in the scheme q when , otherwise
		Intermediate variable. Train p which is included in scheme q will stop in station s.
		Passenger volume in the section k of train which is included in scheme q
		The origin or destination of train includes station s when (Inputs)
	lq	The scheme is an independent scheme when lq = 1, otherwise lq = 0. (Inputs)
	ypq	The passenger volume of train p can be transported by scheme q when ypq = 1, otherwise ypq = 0. (Inputs)
Decision Variable symbols	fp	Frequency of train p
	zp	Train p is chosen when zp = 1, otherwise zp = 0
	xpq	There are xpq⋅Dp passengers are transported by scheme q.
Parameter symbols	cl	Cost per unit distance
		Fixed cost per train
	ct	Cost per unit time
	cst	Cost of one stop
	sp	Number of stops of train p