Incremental Optimization of Hub and Spoke Network for the Spokes’ Numbers and Flow

Table 3

Demands between provinces for Deppon.

Node	Province
		1	2	3	4	5	6	7	8	9	10
1	Tibet	0.52	2.78	7.35	9.23	10.83	13.78	15.68	18.22	21.47	22.86
2	Ningxia	0.62	3.17	6.84	8.99	11.47	13.72	16.04	17.83	20.95	22.96
3	Xinjiang	0.98	3.41	7.25	8.97	11.34	13.67	16.43	17.56	21.31	22.74
4	Yunnan	0.76	2.92	6.88	9.43	10.61	13.88	15.55	17.57	21.13	23.08
5	Inner Mongolia	0.89	2.7	7.4	8.77	10.95	14.35	15.84	17.69	20.52	22.7
6	Chongqing	1.36	2.98	7.29	9.48	10.6	14.2	16.01	18.13	20.55	23.41
7	Jilin	0.99	3.16	6.81	9.2	10.73	13.86	15.92	18.19	21.05	23.42
8	Shanxi	0.74	3.35	7.35	8.85	10.51	13.84	15.79	18.02	20.72	23.02
9	Hunan	0.76	2.76	6.76	8.69	10.87	13.66	16.1	17.56	20.84	22.81
10	Anhui	0.8	2.64	7	8.56	11.44	14.35	15.62	18.26	20.75	22.72
11	Hubei	1	3.2	6.78	9.15	10.96	14.1	15.72	18.41	20.95	23.48
12	Sichuan	1.09	2.79	6.81	9.26	10.7	14.09	15.97	17.94	21	23.18
13	Henan	1.44	2.88	6.64	9.25	11.21	13.81	16.43	17.63	20.89	23.33
14	Shanghai	1	3.37	6.66	8.82	11.25	13.82	16.15	17.7	21.43	23
15	Zhejiang	0.55	3.18	6.65	8.51	10.64	14.22	16.06	17.63	20.73	23.43
16	Guangdong	0.53	2.9	7.33	8.75	10.8	14.37	15.69	18.2	20.99	23.07
17	Jiangsu	1.2	2.9	6.56	9.23	11.09	14.4	15.62	17.65	20.57	23.09
18	Shandong	1.28	3	6.99	9.32	11.06	13.68	15.98	17.71	20.67	23.38
19	Hebei	0.59	3.31	6.92	8.53	10.73	13.73	16.03	18.05	20.68	22.56
20	Beijing	0.93	3.37	7.07	8.74	11.21	14.43	16.37	17.62	20.88	23.28
21	Fujian	0.9	3.16	6.53	9.18	11.16	13.88	15.75	18.21	20.59	22.54
22	Liaoning	1.16	2.51	6.91	9.36	10.99	14.18	16.32	17.73	20.87	23.24
23	Guangxi	0.9	2.93	6.58	8.84	11.36	13.74	16.12	18.17	21.2	22.93
24	Jiangxi	0.52	2.91	7.43	9.31	10.56	13.88	15.8	17.77	21.03	23.48
25	Tianjin	0.51	2.87	6.8	8.62	10.81	13.94	16.18	18.14	20.64	23.49
26	Shaanxi	1.3	2.84	6.79	8.6	10.52	14.04	16.44	18.36	21.21	23.24
27	Heilongjiang	1.23	3.13	7.4	9.2	10.55	14.18	16.04	17.5	20.71	22.89
28	Guizhou	1.28	2.95	6.78	9.4	10.88	14.28	15.78	17.71	20.93	23.16
29	Gansu	1	3.04	6.75	8.54	11.29	13.53	16.22	17.67	20.65	23.5
30	Hainan	0.5	2.56	6.64	9.28	11.35	14.1	15.67	17.97	21.28	23.16
31	Qinghai	0.56	2.92	6.64	9.02	11.36	13.88	16.39	18.23	20.78	23.19
		11	12	13	14	15	16	17	18	19	20
1	Tibet	28.98	35.92	42.64	49.28	87.38	178.02	106.11	53.32	46.13	38.22
2	Ningxia	28.82	36.46	43.21	49.06	87.29	177.85	106.32	53.03	45.54	38.29
3	Xinjiang	29.23	35.74	43.45	48.78	86.9	178.15	105.6	52.75	45.62	37.92
4	Yunnan	29.49	36.34	43.31	49.01	86.56	178.41	105.76	52.73	45.7	38.4
5	Inner Mongolia	29	36.44	43.19	48.93	87.12	178.08	105.62	52.74	46.26	38.5
6	Chongqing	28.96	36.24	43.09	48.51	87.19	178.39	106.41	53.12	46.32	38.01
7	Jilin	29.07	35.65	43.44	48.78	87.08	177.96	106.27	53.47	45.94	38.41
8	Shanxi	28.9	36.23	42.68	49.36	86.51	177.8	106.38	53.37	46.24	37.98
9	Hunan	28.93	35.82	43.41	48.56	87.41	178	106.33	53.02	45.61	37.75
10	Anhui	28.74	36.17	43.43	49.4	87.25	177.65	106.17	52.96	45.96	38.22
11	Hubei	28.81	35.91	43.5	49.29	87.07	178.3	105.64	53.12	46.39	38.29
12	Sichuan	29.01	35.59	43.11	48.7	87.22	178	105.71	53.28	46.39	37.7
13	Henan	28.86	35.56	42.69	48.99	86.68	178.17	106.18	52.72	45.69	37.73
14	Shanghai	29.39	35.95	42.81	48.73	86.91	177.79	105.7	52.63	46.02	37.85
15	Zhejiang	28.89	36.3	43.01	48.55	86.85	178.08	105.95	52.72	45.57	37.56
16	Guangdong	28.68	35.83	42.68	48.86	87.35	178.46	105.66	53.04	46.17	37.74
17	Jiangsu	29.2	35.54	42.54	49.43	86.69	177.93	106	52.67	45.5	38.27
18	Shandong	29.19	35.97	42.78	49.31	87.06	178.12	106.41	53.44	45.96	37.98
19	Hebei	29.36	36.15	42.62	49.27	86.59	177.98	105.86	53.31	46.1	37.83
20	Beijing	28.53	36.16	42.99	49.01	87.29	177.98	106.11	53.09	45.94	38.11
21	Fujian	29.19	36.16	43.12	49.11	87.22	178.17	105.98	53.32	45.6	37.95
22	Liaoning	28.68	35.51	42.84	48.59	87.2	177.85	105.61	53.13	45.61	38.35
23	Guangxi	29.42	35.68	43.49	49.03	86.91	178.22	106.21	52.98	45.58	37.93
24	Jiangxi	29.06	36.08	43.08	48.88	87.43	177.78	105.83	52.77	46.32	37.83
25	Tianjin	28.61	35.9	43.2	48.9	86.67	177.94	105.65	53.38	45.66	37.92
26	Shaanxi	29.03	35.63	43.08	48.52	86.66	177.88	105.86	52.99	46.08	37.59
27	Heilongjiang	29.41	35.63	42.51	49.13	86.66	178.39	105.59	53.11	45.84	38.22
28	Guizhou	29.14	36.18	43.32	48.99	87.02	177.72	105.71	52.73	45.83	38.39
29	Gansu	28.53	36.09	43.09	48.57	87.4	178.27	105.7	53.13	46.41	38.41
30	Hainan	28.57	35.61	43.16	49.15	86.74	178.05	106.39	53.09	45.52	38.28
31	Qinghai	29.38	35.99	43.42	48.52	87.32	177.74	105.69	53.29	45.79	37.73
		21	22	23	24	25	26	27	28	29	30	31
1	Tibet	36.32	26.21	23.26	17.75	16.89	16.08	11.63	9.46	7.59	5.86	1.92
2	Ningxia	36.03	25.94	23.26	18.25	16.78	16.28	11.6	9.14	7.86	6.19	2.25
3	Xinjiang	36.35	25.88	22.85	17.97	17.24	15.59	12.25	8.92	7.79	6.23	1.94
4	Yunnan	36.44	25.8	22.95	17.75	17.22	16.21	12.23	8.79	8.37	6.4	2.36
5	Inner Mongolia	36.36	26.03	22.65	18.25	17.36	15.5	12.1	9.08	8.34	6.33	2.46
6	Chongqing	35.58	26.14	23.35	17.7	16.58	16.12	11.69	9.44	8.38	5.9	2.07
7	Jilin	35.86	26.48	23.03	17.61	16.76	16.33	12.06	9.44	7.71	6.49	2.02
8	Shanxi	36.14	25.86	22.63	18.07	17	15.52	11.98	9.33	8.01	6.22	1.77
9	Hunan	35.68	25.84	23.34	17.63	16.55	16.01	12.32	9.18	7.72	5.95	1.58
10	Anhui	36.13	26.05	22.79	18.16	16.76	16.33	11.86	9.12	7.86	6.03	1.95
11	Hubei	36.33	25.79	22.98	18.38	17.14	15.57	11.51	9.14	7.8	6.31	1.86
12	Sichuan	36.45	25.53	22.5	17.61	16.71	15.88	12.3	8.96	8.07	5.59	2.19
13	Henan	36.47	25.69	22.91	17.87	17.25	16.42	12.45	9.03	7.92	5.89	2.19
14	Shanghai	36.13	25.76	22.55	17.67	17.03	16.19	11.95	9.3	7.98	6.37	2.18
15	Zhejiang	35.94	26.34	23.24	17.58	17.36	15.83	11.68	9.33	7.83	5.88	2
16	Guangdong	35.72	26.4	23.25	18.39	17.37	16.26	11.94	9.44	8.2	5.85	2.34
17	Jiangsu	36.48	25.98	22.89	17.56	16.98	15.93	11.85	8.97	7.64	5.96	1.82
18	Shandong	36.21	26.12	22.74	18.07	16.93	15.55	12.48	8.72	8.06	6.49	1.55
19	Hebei	35.52	26	22.91	17.56	17.17	15.79	11.6	9.05	8.04	6.04	2.33
20	Beijing	35.85	26	22.6	18.46	17.26	16.32	12.34	9.08	7.68	6.3	2.24
21	Fujian	36.37	25.93	23.33	17.78	16.74	15.76	12.04	9.24	7.64	6.14	1.84
22	Liaoning	35.97	26.39	22.97	17.79	17.01	16.43	11.98	8.75	7.63	6.19	2.41
23	Guangxi	36.29	25.7	23.34	18.21	16.53	15.67	12.09	9.48	7.94	5.6	2.06
24	Jiangxi	35.73	26.01	22.56	17.98	17.14	16.05	12.36	9.23	8.05	5.53	2.05
25	Tianjin	36.4	25.74	22.74	18.01	16.91	15.58	12.12	8.51	8.36	6.3	1.84
26	Shaanxi	36.25	25.92	22.72	18.05	17.03	15.56	11.68	9.47	7.63	5.57	2.02
27	Heilongjiang	36.07	25.93	22.61	17.65	17.18	15.77	12.26	8.5	8.42	5.62	1.7
28	Guizhou	36.13	25.78	22.93	17.83	17.21	15.71	11.76	9.25	8.15	6.49	1.66
29	Gansu	35.94	26.42	23.11	18.44	17.12	15.67	11.85	9.34	8.49	6.49	2.21
30	Hainan	35.51	25.85	23.36	18.28	16.71	16.33	11.52	8.97	7.87	6.24	1.53
31	Qinghai	35.5	26.34	23	17.99	16.55	15.6	12.1	9.14	7.94	5.68	2.45