Single-Commodity Vehicle Routing Problem with Pickup and Delivery Service

Table 2

Experimental results.

n	K	Q	SA				MSA				IMSA
			𝑑∗	d	rsd (%)	t (ms)	𝑑∗	d	rsd (%)	t (ms)	𝑑∗	d	rsd (%)	t (ms)
15	31	10	2669	3274	8.19	3	2582	2878	5.44	10	2571	2739	4.28	833
15	31	15	2456	2924	9.65	2	2329	2648	7.60	11	2329	2555	6.30	938
15	31	20	2443	2903	7.99	3	2329	2635	6.34	12	2329	2490	5.42	1081
15	31	25	2443	2857	8.25	2	2329	2581	6.67	12	2273	2489	5.43	1158
15	31	30	2421	2840	9.30	3	2273	2588	6.40	13	2273	2495	4.56	1175
25	45	10	4254	5001	9.92	4	3926	4565	8.20	23	3734	4258	6.02	1888
25	45	15	3921	4611	7.04	4	3568	4201	6.47	23	3541	3995	6.51	2088
25	45	20	3352	4545	9.69	5	3270	3920	8.09	24	3332	3882	7.46	2313
25	45	25	3273	4449	11.75	4	3418	4008	7.05	27	3397	3907	6.49	2562
25	45	30	3892	4592	10.32	4	3203	3923	8.56	28	3270	3863	7.14	2637
40	66	10	5954	7042	7.31	3	5433	6282	6.07	31	5639	6072	4.78	2782
40	66	15	5460	6551	8.62	5	5128	5850	5.94	33	5120	5650	5.38	2983
40	66	20	5259	6383	7.58	4	4977	5685	6.59	36	4953	5466	5.45	3251
40	66	25	5273	6429	7.55	5	4660	5496	5.86	38	4582	5396	6.01	3753
40	66	30	5206	6405	9.46	5	4618	5480	6.83	41	4738	5296	5.81	3934
55	84	10	7662	8691	6.06	5	6944	7944	6.57	44	6695	7501	5.94	3897
55	84	15	6406	7733	8.42	6	6192	7216	6.11	46	6097	6776	5.34	4173
55	84	20	6379	7564	7.51	6	5787	6777	6.31	50	5689	6615	5.88	4365
55	84	25	6563	7433	7.00	6	5691	6463	6.47	55	5786	6353	5.06	5392
55	84	30	5980	7228	7.98	6	5799	6557	6.09	58	5502	6262	5.91	5951
70	113	10	8477	9792	6.69	7	8423	9630	7.61	69	7899	8882	6.48	5240
70	113	15	8042	9116	7.23	7	7421	8528	6.18	61	6867	8226	7.61	5479
70	113	20	7887	9150	6.83	7	7256	8371	5.62	64	7136	8026	5.32	5778
70	113	25	7600	8762	6.12	7	7189	8182	5.48	69	7064	7783	5.45	6473
70	113	30	7578	8828	7.58	9	7004	8048	6.38	75	6787	7865	6.07	6988
Average values			5234	6204	8.16	5	4870	5618	6.60	38	4784	5394	5.84	3484