Journal of the Korean Mathematical Society (대한수학회지)
- Volume 35 Issue 3
- /
- Pages.727-740
- /
- 1998
- /
- 0304-9914(pISSN)
- /
- 2234-3008(eISSN)
CONTROLLING TRAFFIC LIGHTS AT A BOTTLENECK: THE OBJECTIVE FUNCTION AND ITS PROPERTIES
- Grycho, E. (Department of Mathematics Fern Universitat Hagen) ;
- Moeschlin, O. (Department of Mathematics Fern Universitat Hagen)
- Published : 1998.08.01
Abstract
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