Designing signal-controlled junctions for group-based operation

A mathematical framework for describing an individual signal-controlled junction is set out. The description is highly flexible in terms of the kinds of design and signal operation it can represent and, when optimized using linear and convex programming techniques, provides detailed analysis of junction performance. The analysis and its relationship to the geometric layout are described. The techniques described are compared to other techniques of signal optimization and the use of existing software for junction design is discussed. The integration of this analysis with geometric design is discussed as well as software incorporating the analysis to aid engineers in the design of signal-controlled junctions.