2. EXAMPLE

We will demonstrate the algorithm by means of an example. Fig. 2 shows "Heimplatz", a square and quasi a benchmark crossing in Zürich. Trams, pedestrians, and individual traffic use the two crossings A and B with the following phases: A1 - A5 and B1 - B6 (cars), A6 - A10 and B7 - B13 (pedestrians), A11, A12 and B14 - B20, B23 (trams). We will only discuss the tram phases representing a low traffic crossing. The resulting problem is depicted in Fig. 3: two closely coupled crossings. 5 different tram lines pass the crossing: number 3, 5, 8 and 9, and number E, a rarely used route of trams not operating on schedule. There are stops for all lines, except for E, namely before phases B20 and after B17 for line 3, and before A12 and after A11 for all other lines. Detectors are placed in such a way that trams and their corresponding routings are detected and reported in good time (about 1 minute before arriving at the crossing).

Phases at Heimplatz in Zurich

Fig. 2. Phases at Heimplatz in Zurich

Tram phases at Heimplatz

Fig. 3. Tram phases at Heimplatz