Table 4 Comparison of regulatory options and territory types for an average operating day

Share of potential demand

i.e.,\(\left( {1 - \vartheta_{1} - \vartheta_{2} } \right) \cdot \left( {1 - \vartheta_{3} } \right)\)

33%

32%

33%

32%

Elective demand trip count

51,900

94,400

51,900

94,400

Option I only: residual as of Eq. (3), eligible for DRT

4,700

36,800

Equivalent #Rides (\(\tilde{\pi } = 1.2\))

3,900

30,700

43,250

87,700

Requested avg. trip length

8 km

13 km

8 km

13 km

Internal car trips originating

50,200

158,500

50,200

158,500

Car trips eligible for DRT

10,500

55,500

50,200

158,500

% Eligible for subsidy

100%

100%

21%

35%

Rides supplied at \(\propto = 0.8\%\)

 ↔ (\(r_{0} /c_{O}\), \(r_{1} /c_{O}\) and \(\delta\))

Compensation k€ (subsidy)

total detour vehicle km

84

(2, 0.5, 1.1)

0.18 (100%)

134

440

(1, 0.5, 1.1)

2.2 (100%)

580

600

(2, 0.5, 1.05)

0,8 (21%)

160

1300

(1, 0.5, 1.05)

3.0 (35%)

824

Rides supplied at \(\propto = 1.7\%\)

 ↔ (\(r_{0} /c_{O}\), \(r_{1} /c_{O}\) and \(\delta\))

Compensation k€ (Subsidy)

Total detour vehicle km

180

(2, 0.7, 1.2)

0.5 (100%)

378

940

(1, 0.7, 1.2)

3.3 (100%)

2,450

1,200

(2, 0.7, 1.1)

3.2 (3.4%)

680

2,700

(1, 0.7, 1.1)

9.5 (12.3%)

3,500

Rides supplied

\(\propto\) at equilibrium (\(\propto_{0}\))

 ↔ (\(r_{0} /c_{O}\), \(r_{1} /c_{O}\) and \(\delta\))

Compensation k€ (subsidy)

Total detour vehicle km

€/Pkm for \(\tilde{\pi }^{^{\prime}} = 2\)

790

7.4% (0.20)

(4, 1.6, 1.4)

4.6 (52%)

3,100

0.19

4.500

8.2% (0.15)

(4, 1.4, 1.35)

35.8 (41%)

20,700

0.12

2.800

3.9% (0.15)

(4, 1.4, 1.25)

10.5 (9.9%)

3,900

0.16

8.700

5.5% (0.15)

(4, 1.2, 1.2)

60,1 (12%)

11,300

0.09