Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
A Two-direction Method of Solving Variable Demand Equilibrium Models with and without Signal Control. / Smith, Mike.
Transportation and Traffic Theory 2009: Golden Jubilee: Papers selected for presentation at ISTTT18. ed. / William H. K. Lam; S.C. Wong; Hong K. Lo. NEW YORK : Springer, 2009. p. 365-386.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - A Two-direction Method of Solving Variable Demand Equilibrium Models with and without Signal Control
AU - Smith, Mike
PY - 2009
Y1 - 2009
N2 - A two direction method of solving variable demand equilibrium models is considered. Throughout an equilibration using this method, if the first direction fails to reduce disequilibrium, use the second. A proof of convergence under fairly weak conditions is provided. The paper shows how the method works on models without and with responsive signal controls. In the former case the method may replace the iteration of an assignment and a demand model. In the latter case the method may replace the iteration of an assignment and a control model; and may then be utilized to design new fixed time signal timings suitable for a variety of situations. In both cases there will be a reasonable convergence guarantee if the two-direction method is utilized.
AB - A two direction method of solving variable demand equilibrium models is considered. Throughout an equilibration using this method, if the first direction fails to reduce disequilibrium, use the second. A proof of convergence under fairly weak conditions is provided. The paper shows how the method works on models without and with responsive signal controls. In the former case the method may replace the iteration of an assignment and a demand model. In the latter case the method may replace the iteration of an assignment and a control model; and may then be utilized to design new fixed time signal timings suitable for a variety of situations. In both cases there will be a reasonable convergence guarantee if the two-direction method is utilized.
KW - PROXIMAL POINT ALGORITHM
KW - MONOTONE-OPERATORS
KW - TRAFFIC CONTROL
KW - ASSIGNMENT
M3 - Conference contribution
SN - 978-1-4419-0819-3
SP - 365
EP - 386
BT - Transportation and Traffic Theory 2009: Golden Jubilee
A2 - Lam, William H. K.
A2 - Wong, S.C.
A2 - Lo, Hong K.
PB - Springer
CY - NEW YORK
T2 - 18th International Symposium on Transportation and Traffic Theory
Y2 - 16 July 2009 through 18 July 2009
ER -