PathCost: Path costs based on BPR link cost function

In MartinLHazelton/transportation: What the Package Does (One Line, Title Case)

Path costs based on BPR link cost function

Description

This function calculates the path costs as a function of link flows over network. BPR link cost functions are assumed.

Usage

PathCost(x, A = diag(length(x)), Alpha, Beta, pow = 4)

Arguments

x	Traffic flow on all links of network
A	link-path incidence matrix
Alpha	Vector of free flow travel time parameters for each link
Beta	Vector of capacity parameters for each link
pow	Polynomial order of cost function for each link. Defaults to 4.

Value

Vector of path costs

Examples

A <- matrix(c(0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1),ncol=4,byrow=T)
Alpha <- rep(10,7)
Beta <- rep(2,7)
pow <- rep(4,7)
path_flow <- c(10,20,15,15)
x <- A%*%path_flow
PathCost(x,A,Alpha,Beta)

MartinLHazelton/transportation documentation built on Aug. 5, 2023, 10:28 a.m.