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Amirali Zarrinmehr

Amirali Zarrinmehr

Academic rank: Assistant Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Technology and Engineering
Address: Uiversity of Mazandaran
Phone: 011-35302903

Research

Title
Complementarity formulation and solution algorithm for auto-transit assignment problem
Type
JournalPaper
Keywords
Path-based assignment; Auto-transit assignment; Nonlinear complementarity problem; Decomposition; Path generation; Linearization
Year
2019
Journal TRANSPORTATION RESEARCH RECORD
DOI
Researchers Amirali Zarrinmehr ، Hedayat Z. Aashtiani ، Yu Marco Nie ، Hossein Azizian

Abstract

In this paper, a combined model of auto-transit assignment is introduced based on two complementarity formulations in the literature. The model accounts for interactions between the auto and transit modes through non-separable asymmetric demand and cost functions. A path-based solution algorithm is presented based on the three ideas of decomposition, column generation, and linearization, which have proved to be effective in tackling large-size networks. Numerical results over the Chicago Sketch network suggest that the algorithm converges quickly within the first iterations, but is less effective as the solution gets closer to neighbourhood of the equilibrium solution. The sluggish convergence behavior is attributed to the difficulty of searching the space of strategy-based transit assignment model.