Journal of the
Korean Mathematical Society JKMS

Controlling traffic lights at a bottleneck, in [5] a time of open passage is called optimal, if it minimizes the first moment of the asymptotic distribution of the queue length. The discussion of the first moment as function of the time of open passage is based on an analysis of the behavior of a fixed point when varying control parameters and delivers theoretical and computational aspects of the traffic problem.

Keywords: control of traffic lights at the bottleneck, arrival process, fixed point of the congestion operator, ergodic distribution of the queueing process, ergodic time of open passage, the structure of the set of open passage

MSC numbers: 60B10, 90B06, 90B20