LogitNE - Net Logit Equilibrium

Calling Sequence

bench=LogitNE(theta,method,eps,Niter,Num)

Parameters

• theta : stochasticity parameter
• method : macro among LogitB, LogitD, LogitMB, LogitMD
• eps : convergence error test
• Niter : maximal number of iteration
• Num : number of iteration already done
• bench : niter x 5 matrix
• %net global variable NetList

Description

Compute the logit traffic equilibrium using a logit method among LogitB, LogitD, LogitMB, LogitMD the travel time is taken in %net.links.time and the assigned fow is put in the field %net.links.flow of the variable %net which is a NetList which must be declared global.

The equilibrium is computed by a divergent series method F[n+1]=F[n]*(1-rho[n])+rho[n]*f where f is the new assigned flow computed with the travelling time associated to the flow F[n], with rho[n]=1/(n+1).

If %net.gp.verbose=%T convergence informations are displayed. These informations are returned by the function in the variable %net.gp.bench.

EXAMPLES

// Graph generation (the graph must be stongly connected)
%net=TrafficExample("Steenbrink");
//theta definition (almost determinsitic)
theta=10
// Flow calculation
LogitNE(theta,LogitMD,1.e-6,30,0)
ShowNet()
   

See Also

LogitD  LogitB  LogitMB  LogitMD  LogitN  LogitNELS  TrafficAssig