Table 2.
Approximation of the Strict-Parking-Strategy Gap Distribution
| Coverage | ||||||
| Range | Curve | 40% | 50% | 60% | 70% | Jamming limit |
| [0-L] | a + bx | 1.4 × 10−3 | 5.3 × 10−3 | 2.0 × 10−2 | 9.6 × 10−2 | 3.4 × 10−1 |
| a + bx + cx2 | 6.5 × 10−5 | 3.8 × 10−4 | 2.4 × 10−3 | 2.7 × 10−2 | 2.4 × 10−1 | |
| a + bx + cx2 + dx3 | 2.3 × 10−6 | 2.2 × 10−5 | 2.3 × 10−4 | 6.9 × 10−3 | 1.8 × 10−1 | |
| ae bx | 2.3 × 10−4 | 1.0 × 10−3 | 4.8 × 10−3 | 3.7 × 10−2 | 2.4 × 10−1 | |
| e dx (a + bx + cx2) | 8.0 × 10−8 | 9.4 × 10−3 | 1.5 × 10−5 | 1.1 × 10−3 | 1.1 × 10−1 | |
| [L-2L] | a + bx | 2.1 × 10−3 | 6.6 × 10−3 | 1.9 × 10−2 | 4.5 × 10−2 | NA |
| a + bx + cx2 | 1.3 × 10−4 | 6.4 × 10−4 | 3.2 × 10−3 | 2.1 × 10−2 | NA | |
| a + bx + cx2 + dx3 | 5.6 × 10−6 | 4.7 × 10−3 | 4.3 × 10−4 | 7.8 × 10−3 | NA | |
| ae bx | 1.9 × 10−17 | 1.6 × 10−17 | 5.1 × 10−17 | 1.0 × 10−12 | NA | |
| [0-2L] | a + bx | 1.8 × 10−3 | 7.9 × 10−3 | 3.3 × 10−2 | 1.4 × 10−1 | NA |
| a + bx + cx2 | 1.8 × 10−3 | 4.7 × 10−3 | 1.2 × 10−2 | 5.0 × 10−2 | NA | |
| a + bx + cx2 + dx3 | 1.7 × 10−3 | 4.5 × 10−3 | 1.2 × 10−2 | 4.6 × 10−2 | NA | |
| ae bx | 6.0 × 10−3 | 1.4 × 10−2 | 3.1 × 10−2 | 5.6 × 10−2 | NA | |
| e dx (a + bx + cx2) | 1.6 × 10−3 | 4.4 × 10−3 | 1.2 × 10−2 | 4.4 × 10−2 | NA | |
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Standard error of estimate is tabulated for a curve of the form indicated, over each of the ranges specified. Curve parameters were optimized by Mathematica 4.0 (Wolfram Research) to fit equation 6. The truncation at 2L avoids the tail of the distribution, which is asymptotically zero.
