Table 3.

Average solution quality, depending on instance size and share of dynamic requests $\Lambda$, using deterministic solution methods with average (time-independent) travel speeds. All results are relative to those obtained by the corresponding solution method using time-dependent travel speeds (VNS – AVNS, MPA – AMPA). Negative values indicate superior results obtained by the method with time-dependent travel speeds (i.e., it is always superior). Dissatisfaction refers to the primary objective, calculated as the sum of tardiness, earliness, and ride time violation; #Vehicles is the secondary objective, calculated as the number of vehicles used; and Duration is tertiary objective, equal to the total route duration.

Size	$\Lambda$ (%)	Dissatisfaction (%)		#Vehicles (%)		Duration (%)
		AVNS	AMPA	AVNS	AMPA	AVNS	AMPA
Tiny	0	−54.81	−54.75	4.45	−22.66	8.07	10.75
Tiny	15	−52.88	−48.91	−2.10	−15.29	5.98	8.73
Tiny	30	−56.33	−49.74	−3.77	−20.08	3.34	6.55
Tiny	45	−55.38	−45.79	2.88	−19.31	1.80	4.84
Tiny	60	−52.99	−43.07	−0.83	−12.77	4.19	4.60
Tiny	75	−44.48	−40.70	2.44	−21.40	3.27	4.46
Tiny	90	−46.34	−37.35	−1.68	−20.18	3.37	3.96
Tiny	100	−49.37	−43.02	−2.62	−20.09	−0.45	1.92
Small	0	−65.73	−63.85	−0.23	−12.97	4.75	6.14
Small	15	−60.05	−59.17	1.60	−12.22	5.34	7.62
Small	30	−63.81	−62.70	−0.23	−12.16	4.17	5.61
Small	45	−62.39	−62.85	−3.76	−12.16	2.03	3.80
Small	60	−51.89	−52.60	0.00	−13.41	2.24	4.51
Small	75	−55.72	−55.32	−0.23	−13.83	0.77	1.87
Small	90	−41.73	−44.58	0.00	−10.77	1.03	2.26
Small	100	−35.79	−39.62	−0.96	−12.05	2.02	1.40
Medium	0	−53.43	−47.46	3.61	−9.36	4.50	6.19
Medium	15	−50.98	−47.12	2.22	−9.09	4.04	6.59
Medium	30	−52.43	−45.65	0.96	−8.42	5.02	6.33
Medium	45	−45.59	−44.71	3.04	−8.15	5.63	5.34
Medium	60	−47.05	−45.24	3.35	−10.82	3.13	4.67
Medium	75	−45.78	−48.10	2.10	−9.82	2.11	2.64
Medium	90	−46.88	−46.11	1.83	−11.47	1.70	1.69
Medium	100	−39.54	−42.39	−1.56	−12.30	2.04	0.46
Large	0	−65.85	−63.50	1.17	−7.95	3.73	6.68
Large	15	−71.60	−74.48	2.20	−10.51	2.62	3.87
Large	30	−64.58	−70.47	0.00	−9.47	3.10	3.94
Large	45	−69.26	−67.33	1.05	−9.41	1.16	3.18
Large	60	−67.43	−65.43	0.48	−13.12	1.46	4.42
Large	75	−64.18	−64.08	−1.34	−11.92	1.12	1.96
Large	90	−63.47	−65.43	−0.36	−8.80	1.34	0.66
Large	100	−62.04	−62.69	−2.64	−10.21	1.13	1.43
Avg.		−66.05	−66.68	0.07	−10.18	1.96	3.27