In this paper, we present a cyclically time-expanded network model forsimultaneous optimization of traffic assignment and traffic signal parameters,in particular offsets, split times, and phase orders. Since travel times are ofgreat importance for developing realistic solutions for traffic assignment andtraffic signal coordination in urban road networks, we perform an extensiveanalysis of the model. We show that a linear time-expanded model can reproducerealistic travel times especially for use with traffic signals and we verifythis by simulation. Furthermore, we show how exact mathematical programmingtechniques can be used for optimizing the control of traffic signals. Weprovide computational results for real world instances and demonstrate thecapabilities of the cyclically time-expanded by simulation results obtainedwith state-of-the-art traffic simulation tools.
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