Macroscopic Fundamental Diagram Based Discrete Transportation Network Design

Table 1

Notations and definitions in model formulation.

Notation	Detailed definition
	Set of all links in a new network
	Set of all links in the original road network
	Set of candidate links to be built
	The total budget for building new links
	The capacity of link under demand scenario
	Set of OD pairs
	Set of random OD demand scenarios
	Set of routes between OD pairs under demand scenario
	Optimal network capacity
	Network weighted flow under demand scenario
	Total travel time of equilibrium flow under demand scenario
	Link index
	The construction cost of link ,
	Flow on the route between OD pairs under traffic demand scenario
	Index of a random OD demand scenario
	The length of link
	Travel demand between OD pairs under demand scenario
	Free-flow travel time on link under demand scenario
	Travel time on link relating to flow under demand scenario
	Traffic flow on link under demand scenario
	Binary decision variable which equals 1 if and only if link is to be built, and 0 otherwise
	A binary variable which equals 1 if the route between OD pairs under traffic demand scenario passes link , and 0 otherwise