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Outline
From the perspective of rail transit enterprise management, this study addresses the problem of coordinating and balancing rolling stock circulation efficiency, train load factor, and operational economics in cross-line operation, and constructs a multi-dimensional collaborative optimization model for cross-line train timetables with the objective of minimizing operational train-kilometers. The study focuses on the economic optimization of the spatiotemporal allocation of transport resources. By integrating core elements such as timetable scheduling, turnaround operations, depot operation plans, and cross-line connections, a linkage constraint mechanism between maximum headway and train load factor is established, enabling coordinated control of operating costs and service reliability. To improve solution efficiency, the FSAE-CLO (fast solution algorithm for engineering-cross line operation) algorithm is proposed, which transforms cross-line timetable optimization into a combinatorial search problem for cross-line decisions, gradually screens feasible schemes according to the sequence of trains available for cross-line operation, and adjusts cross-line decisions based on an iterative probability update mechanism, thereby compressing the solution space while reducing ineffective searches. Taking the morning peak hours of Beijing Metro Fangshan Line and Line 9 as an example, the empirical results show that, compared with the single-line operation mode, the proposed scheme reduces train-kilometers by 6.83%; compared with the genetic algorithm, it reduces operational mileage by 4% and shortens solution time by 24%. This study provides a new theoretical method and practical support from the perspective of cost reduction and efficiency improvement for transport enterprises in making decisions on adopting cross-line transportation organization methods, and its resource coupling optimization mechanism has reference value for improving the benefits of networked operation.
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| 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 |
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