caa a22 4500 463168828 CHVBK 20180406164807.0 cr unu---uuuuu 170326e20070601xx s 000 0 eng 10.1007/s10957-007-9230-0 doi (NATIONALLICENCE)springer-10.1007/s10957-007-9230-0 Improved Noniterative Algorithm for Solving theTraffic Equilibrium Problem [Elektronische Daten] [F. Raciti, P. Falsaperla] We provide an equivalent formulation of a previously proposed noniterative algorithm (see A. Maugeri, Appl. Math. Optim. 16, 169-185, 1987) for the traffic equilibrium problem. Moreover, under the strict monotonicity assumption, we provide an improved algorithm which enlarges the range of applicability of the previous algorithm and decreases considerably its computational effort. Our algorithm is based on a general algorithm for variational inequalities (see O. Mancino, G. Stampacchia, J. Optim. Theory Appl. 9, 3-23, 1972), which we further develop and adapt to the traffic equilibrium problem. Both our proofs and the algorithm exploit directly the equilibrium conditions which characterize our problem. Springer Science+Business Media, LLC, 2007 Traffic networks nationallicence Wardrop principle nationallicence Equilibrium problems nationallicence Variational inequalities nationallicence Noniterative algorithms nationallicence Raciti F. Department of Mathematics and Computer Science, Faculty of Engineering, University of Catania, Catania, Italy aut Falsaperla P. Department of Physics, University of Catania, Catania, Italy aut Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/3(2007-06-01), 401-411 0022-3239 133:3<401 2007 133 10957 https://doi.org/10.1007/s10957-007-9230-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10957-007-9230-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Raciti F. Department of Mathematics and Computer Science, Faculty of Engineering, University of Catania, Catania, Italy aut NATIONALLICENCE 700 1- Falsaperla P. Department of Physics, University of Catania, Catania, Italy aut NATIONALLICENCE 773 0- Journal of Optimization Theory and Applications Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 133/3(2007-06-01), 401-411 0022-3239 133:3<401 2007 133 10957 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer