多式轨道交通网络的耦合协调度

doi:10.13229/j.cnki.jdxbgxb20200701

Abstract

Abstract:

To study the coupling relationship between multi-standard rail transit sub-network systems, the topological index value and the coupling coordination degree are calculated based on the complex network theory, and then the multi-standard composite network is constructed. The change of the topological index value of the composite network is studied. The calculation method for the coupling coordination degree of the multi-standard rail transit network is proposed combining factors such as network scale, topology, robustness, transportation capacity, transfer ratio and functional cost. The Chongqing rail transit network (in October 2019) is finally used to do case analysis. The results show that the composite network has a greater average degree and a smaller shortest path length. The coupling degree of the composite network is 0.988, the coordination degree is 0.678, the degree of coupling is high, and the degree of coordination is average. The values of the coupling degree and coordination degree of each index of the four subsystems are quite different, but as the number of systems increases, the overall coupling and coordination degree tends to decrease.

Key words: engineering of communications and transportation system, multimodal rail transit network, complex network, topological structure, evaluation index, coupling coordination degree

CLC Number:

U113

Feng XUE,Chuan-lei HE,Qian HUANG,Jian LUO. Coordination degree of multimodal rail transit network[J].Journal of Jilin University(Engineering and Technology Edition), 2021, 51(6): 2040-2050.

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指标	普铁网	高铁网	市域网	城轨网	复合网
节点数	60	20	12	160	238
边数	59	22	13	178	255
网络直径	46	9	8	37	46
平均度	1.97	2.2	2.17	2.15	2.15
平均路径长度	15.70	3.94	3.18	13.46	14.65
平均聚集系数	0	0.148	0.194	0.004	0.011
网络介数	0.253	0.163	0.218	0.079	0.058
网络效率	0.136	0.359	0.451	0.115	0.104
网络连通度	0.033	0.116	0.197	0.014	0.009
自然连通度	0.801	1.038	0.969	0.857	0.861

指标	普铁网	高铁网	市域网	城轨网
1节点数	60	20	12	160
2边数	59	22	13	178
3网络直径	46	9	8	37
4平均度	1.97	2.2	2.17	2.15
5平均路径长度	15.70	3.94	3.18	13.46
6平均聚集系数	0	0.148	0.194	0.004
7网络介数	0.253	0.163	0.218	0.079
8网络效率	0.136	0.359	0.451	0.115
9网络连通度	0.033	0.116	0.197	0.014
10自然连通度	0.801	1.038	0.969	0.857
11开行列数	120	368	82	250
12编组辆数	16	16	8	8
13定员数	1238	1112	536	1840
14换乘普铁	4	33	39	24
15换乘高铁	19	16	22	43
16换乘市域	13	25	21	41
17换乘地铁	22	35	31	12
18服务范围	150	200	100	30
19速度目标	120	300	160	60
20工程造价	0.5	1.65	2	8

指标	普铁网	高铁网	市域网	城轨网
1节点数	0.324	0.054	0.000	1.000
2边数	0.279	0.055	0.000	1.000
3网络直径	1.000	0.026	0.000	0.763
4平均度	0.000	1.000	0.870	0.783
5平均路径长度	0.000	0.939	1.000	0.179
6平均聚集系数	0.000	0.763	1.000	0.021
7网络介数	1.000	0.483	0.799	0.000
8网络效率	0.063	0.726	1.000	0.000
9网络连通度	0.104	0.557	1.000	0.000
10自然连通度	0.000	1.000	0.709	0.236
11开行列数	0.133	1.000	0.000	0.587
12编组辆数	1.000	1.000	0.000	0.000
13定员数	0.538	0.442	0.000	1.000
14换乘普铁	0.000	0.829	1.000	0.571
15换乘高铁	0.111	0.000	0.222	1.000
16换乘市域	0.000	0.429	0.286	1.000
17换乘地铁	0.435	1.000	0.826	0.000
18服务范围	0.706	1.000	0.412	0.000
19速度目标	0.750	0.000	0.583	1.000
20工程造价	1.000	0.847	0.800	0.000

指标	权重	指标	权重
1	0.0718	11	0.0530
2	0.0746	12	0.0726
3	0.0665	13	0.0369
4	0.0306	14	0.0327
5	0.0484	15	0.0696
6	0.0677	16	0.0447
7	0.0344	17	0.0357
8	0.0605	18	0.0364
9	0.0566	19	0.0326
10	0.0440	20	0.0306

指标	双系统耦合						三系统耦合				四系统耦合
指标	PG*	PS	PC	GS	GC	SC	PGS	PGC	PSC	GSC	PGSC
1	0.710	0.400	0.857	0.800	0.447	0.232	0.484	0.569	0.370	0.257	0.361
2	0.733	0.417	0.827	0.800	0.438	0.228	0.505	0.554	0.360	0.251	0.353
3	0.336	0.241	0.991	0.943	0.381	0.275	0.219	0.474	0.380	0.260	0.301
4	0.348	0.371	0.392	0.998	0.992	0.998	0.479	0.485	0.499	0.995	0.574
5	0.292	0.283	0.600	0.999	0.745	0.729	0.413	0.404	0.391	0.791	0.459
6	0.272	0.239	1.000	0.991	0.272	0.239	0.378	0.207	0.175	0.378	0.253
7	0.943	0.993	0.333	0.974	0.458	0.371	0.961	0.481	0.470	0.514	0.566
8	0.553	0.481	0.800	0.987	0.295	0.252	0.607	0.343	0.284	0.393	0.370
9	0.729	0.587	0.700	0.960	0.343	0.260	0.701	0.444	0.328	0.407	0.426
10	0.295	0.348	0.575	0.985	0.777	0.859	0.438	0.415	0.483	0.843	0.503
11	0.642	0.661	0.775	0.270	0.965	0.348	0.353	0.744	0.462	0.416	0.450
12	1.000	0.231	0.231	0.231	0.231	1.000	0.356	0.356	0.167	0.167	0.231
13	0.994	0.426	0.954	0.471	0.918	0.320	0.555	0.937	0.468	0.466	0.564
14	0.371	0.338	0.436	0.995	0.985	0.963	0.473	0.511	0.484	0.975	0.570
15	0.629	0.953	0.607	0.484	0.236	0.762	0.617	0.313	0.656	0.355	0.407
16	0.436	0.515	0.292	0.982	0.914	0.834	0.570	0.438	0.425	0.869	0.527
17	0.923	0.957	0.471	0.994	0.324	0.359	0.947	0.471	0.505	0.461	0.555
18	0.987	0.963	0.378	0.911	0.324	0.484	0.940	0.466	0.522	0.470	0.558
19	0.392	0.993	0.987	0.436	0.338	0.963	0.525	0.479	0.975	0.484	0.575
20	0.996	0.992	0.348	0.999	0.378	0.392	0.994	0.481	0.485	0.503	0.575

Coordination degree of multimodal rail transit network

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