Origin-destination-based truncated quadratic programming algorithm for traffic assignment problem

• Published in: Transportation letters Vol. 9; no. 3; pp. 166 - 176
• Main Authors: Javani, Babak, Babazadeh, Abbas
• Format: Journal Article
• Language: English
• Published: Taylor & Francis 27.05.2017
• Subjects: algorithms; path-based formulation; Traffic assignment; truncated quadratic programming
• ISSN: 1942-7867; 1942-7875
• DOI: 10.1080/19427867.2016.1227531

The solution of the static traffic assignment problem (TAP) with fixed origin-destination (OD) demands is considered. The original Frank and Wolfe (FW) algorithm is the most widely used in practice while suffering from a sublinear rate of convergence. The OD-based FW (ODBFW) algorithm was an attempt to speed up its convergence. The FW algorithm has been also used to compute search directions by partially solving a sequence of quadratic programming (QP) subproblems in a truncated QP (TQP) framework (FWTQP). In this study, we introduce an OD-based FWTQP (ODFWTQP) algorithm by embedding the decomposition and column generation in the FWTQP algorithm. The convergence rate of the ODFWTQP is investigated on the Chicago and Philadelphia test networks. A direct comparison is done between the proposed ODFWTQP and the algorithms of FW, ODBFW, FWTQP and the origin-based algorithm (OBA). Another direct comparison with a current commercial projected gradient (PG) algorithm is also provided. Based on the numerical results, the proposed algorithm shows a surprising performance.