Comparing Three Lane Merging Schemes for Short-Term Work Zones: A Simulation Study

Table 2

Validation runs of the early SDLMS, late SDLMS, and MAS.

			MAS validation using throughput						Late SDLMS validation using throughput						Early SDLMS validation using throughput
Base driving behavior parameter set			Run number						Run number						Run number
Car following model default parameter values			Run 7	Run 8	Run 9	Run 10	Run 11	Run 12	Run 7	Run 8	Run 9	Run 10	Run 11	Run 12	Run 7	Run 8	Run 9	Run 10	Run 11	Run 12
CC0  Standstill distance 4.92 ft			4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92
CC1  headway time 1.20 s			1.10	1.10	1.00	0.50	0.50	0.50	1.10	1.10	1.00	0.50	0.50	0.50	1.10	1.10	1.00	0.50	0.50	0.50
CC2  following variation 13.12 ft			20.00	10.00	10.00	10.00	10.00	10.00	20.00	10.00	10.00	10.00	10.00	10.00	20.00	10.00	10.00	10.00	10.00	10.00
CC3 threshold for Entering “following” −8			−800	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00	−8.00
CC4 negative “following threshold” −0.35			−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35	−0.35
CC5 positive “following threshold” 0.35			0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35	0.35
CC6 speed dependency of oscillation 11.44			11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44	11.44
CC7 oscillation acceleration 0.82 ft/sec^2			0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82	0.82
CC8 standstill acceleration 11.48 ft/sec^2			11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48	11.48
CC9 acceleration at 50 mph 4.92 ft/sec^2			4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92	4.92
Lane changing model default parameter values
	Own	Trailing
Maximum deceleration	−13.12 ft/s^2	−9.48 ft/s^2	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48	−9.48
(−1 ft/sec^2) per distance	100 ft	100 ft	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00	100.00
Accepted deceleration	−3.28 ft/s^2	−1.64 ft/s^2	−1.64	−1.64	−1.64	−1.64	−1.64	−1.64	−1.64	−1.64	−1.64	−1.64	−1.64	−−1.64	−1.64	−1.64	−1.64	−1.64	−1.64	−1.64
Waiting time before diffusion		60 s	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00	60.00
Min. headway (front/rear)		l.64 ft	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64	1.64
To slower lane if collision time above		11.00 s	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00	11.00
Safety reduction factor		0.1	0.20	0.20	0.25	0.25	0.50	0.40	0.20	0.20	0.25	0.25	0.50	0.40	0.20	0.20	0.25	0.25	0.50	0.40
Maximum deceleration for		−29 ft/s^2	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00	−29.00
cooperative braking
Throughput evaluation
Average simulated simulated throughput (veh/hr)			1026.60	1014.30	1011.20	1013.81	1016.81	1014.60	1099.20	1104.10	1105.30	1105.10	1103.20	1100.20	1207	1216.00	1220.00	1238.00	1260.80	1262
Average observed throughput (Veh/hr)			970.50	970.50	970.50	970.50	970.50	970.50	1062.33	1062.33	1062.33	1062.33	1062.33	1062.33	1271.6	1271.60	1271.60	1271.60	1271.60	1271.6
% Error			5.78%	4.51%	4.19%	4.46%	4.77%	4.54%	3.47%	3.93%	4.04%	4.03%	3.85%	3.56%	−5.08%	−4.37%	−4.06%	−2.71%	−0.85%	−0.75%
𝑇-test			0.28	0.31	0.33	0.33	0.29	0.34	0.21	0.15	0.12	0.12	0.16	0.18	0.1	0.17	0.18	0.31	0.41	0.47