In order to study the invulnerability and key nodes of the metro network in road-rail cooperative urban distribution,so as to support the networking mode of urban distribution and the reliability improvement of the distribution network under road-rail cooperation,the relative network efficiency and relative load entropy were used as the invulnerability measurement indicators,and the network invulnerability changes under different attack modes were studied based on the improved coupling image lattice model first. Secondly,the centrality index of the transportation efficiency of the reaction network and the realistic index of the carrying capacity of the reaction network was selected to construct a comprehensive identification model of key nodes of the network. Then,by analyzing the level of network invulnerability under different index weights,the key node set under the optimal weight value was obtained. Finally,the empirical analysis of the Chengdu metro network was carried out to verify the effectiveness and practicability of the model. The results show that the metro network has a stronger anti-destruction ability in the face of random attacks under the same disturbance intensity. When faced with external disturbances,the relative network efficiency and relative load entropy loss of nodes with a loss of more than 20% is 6.3% and 6.8%,respectively,of which the relative network efficiency loss can reach 56.3%,and the relative load entropy loss can reach 50.2%. Considering the realistic and central indicators,the relative network efficiency loss and the maximum relative load entropy loss caused by each key node are 8.99% and 4.38%,respectively,which need to be paid attention to.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |