The horizontal alignment design of urban metro shield sections is prone to being constrained by dense structures and land use, which usually results in increased investment and demolition. An optimization model for dual horizontal alignments in metro shield tunnel sections is proposed, which takes the intersection points of the left line and the right line as independent variables. The specification requirements are transformed as geometric constraints, and penalty terms for land use under-passing and line spacing violations are introduced in the objective function. The model is solved by a collaborative differential evolution algorithm with separate populations for the left and right lines. The case study shows that the proposed model can optimize a 2.7 km horizontal alignment in approximately 150 seconds, reducing the total investment by approximately 0.3%. It automatically avoids control areas and guides the automatic parallel or separated design of horizontal dual lines in shield tunnel sections.
| 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 |