Inexact Partial Linearization Methods for Network Equilibrium Problems

Abstract

© 2020, Pleiades Publishing, Ltd. We propose some simplified modifications of the partial linearization method for network equilibrium problems with mixed demand. In these modifications, the auxiliary direction choice problem is solved approximately. In the modifications, the basic convergence properties of the original method are preserved, while the inexact solution of the auxiliary problems reduces the computational efforts. Preliminary numerical tests show the advantages and efficiency of our approach as compared with the exact variant of the method.