Estimation of Urban Link Travel Time Distribution Using Markov Chains and Bayesian Approaches
Table 2
Link TTD parameters, HD, and KS tests. This table is reproduced from a shorter version of this work presented at the 97th Annual Meeting of the Transportation Research Board [5].
Time
Sample size (N)
Estimated parameters in posterior distribution
HD
KS test
Weight ()
Mean ()
Standard deviation ()
p value
a.m. Peak 7:00 - 9:00
7:00-7:15
5
(0.72, 0.28)
(84.36, 182.28)
(11.69, 8.11)
0.13
0
0.1780
7:15-7:30
25
(0.68, 0.22, 0.1)
(84.29, 114.66, 181.87)
(10.01, 10.03, 10.055)
0.09
0
0.0865
7:30-7:45
29
(0.48, 0.2, 0.32)
(83.87, 115.81, 197.72)
(14.11, 19.11, 14.02)
0.08
1
0.0305
7:45-8:00
22
(0.46, 0.42, 0.12)
(96.48, 136.53, 203.14)
(10.23, 9.53, 9.5)
0.17
0
0.0797
8:00-8:15
28
(0.71, 0.17, 0.12)
(132.51, 183.23, 248.51)
(20.13, 20.01, 20.36)
0.08
0
0.2145
8:15-8:30
27
(0.53, 0.05, 0.42)
(143.34, 183.5, 269.59)
(20.21, 6.67, 10.17)
0.24
0
0.7334
8:30-8:45
26
(0.24, 0.76)
(184.66, 275.56)
(14.59, 14.52)
0.06
0
0.0943
8:45-9:00
21
(0.21, 0.1, 0.69)
(182.52, 222.52, 275.02)
(8.08, 12.01, 13.15)
0.11
1
0.0325
p.m. Peak 17:00 - 19:00
17:00-17:15
17
(0.59, 0.41)
(104.72, 205.44)
(19.82, 13.07)
0.16
0
0.4162
17:15-17:30
24
(0.29, 0.56, 0.16)
(105.83, 207.03, 246.86)
(17.38, 9.23, 25)
0.09
0
0.4507
17:30-17:45
14
(0.24, 0.58, 0.18)
(123.7, 211.82, 251.41)
(9.55, 12.1, 32.82)
0.11
1
0.0022
17:45-18:00
16
(0.14, 0.48, 0.38)
(147.92, 218.88, 237.36)
(20.12, 6.93, 10.01)
0.14
0
0.1100
18:00-18:15
20
(0.35, 0.65)
(117.46, 216.85)
(20, 20.18)
0.06
0
0.0928
18:15-18:30
27
(0.43, 0.29, 0.28)
(108, 191.79, 206.68)
(21.3, 20, 20.39)
0.12
0
0.1824
18:30-18:45
10
(0.45, 0.13, 0.42)
(90.85, 129.37, 196.79)
(10.13, 20.01, 10.01)
0.28
0
0.7900
18:45-19:00
12
(0.7, 0.08, 0.22)
(95.04, 130.72, 193.38)
(12.57, 8.99, 17.53)
0.09
0
0.6123
Performance summary during time of day
Time of day
Average HD
Min HD
Max HD
Percentages of passing KS test (%)
7:00-20:00
0.121
0.024
0.355
83
h = 0 indicates that the estimated distribution passes the KS test at a 5% significance level.
