Concurrent optimization of earthwork allocation and borrow/waste site selection of complex mountain railway alignments based on particle swarm optimization algorithm
The earthwork allocation and the borrow/waste site selection of complex mountain railway alignments have a long-term and far-reaching impact on the cost,duration,safety,environmental impact of railway projects,and there is a complex coupled relationship between them.However,existing methods overlook the above relationship,and rarely relieve the concurrent optimization of earthwork allocation and the borrow/waste site selection.For complex mountain railway alignments,firstly,a unified set of independent variables was constructed that integrated the division points of the allocation section,the volume of earthwork allocation,and the borrow/waste site selection.Taking into account the complex constraints of earthwork allocation and the borrow/waste site selection.The objective function was the comprehensive cost of earthwork allocation cost,the site construction cost,and the access roads construction cost.The comprehensive basic information subsystem,earthwork allocation optimization subsystem,and the borrow/waste site selection optimization subsystem were integrated.The concurrent optimization model of earthwork allocation and borrow/waste site selection was established.To solve this concurrent optimization model,a progressive solution strategy based on particle swarm optimization algorithm was proposed.Firstly,divide the earthwork allocation sections based on the route,enter the earthwork allocation optimization subsystem to obtain the earthwork allocation solution,use the moving window method to construct an alternative pool for the borrow/waste site,and enter the borrow/waste site selection optimization subsystem to obtain the solution for the borrow/waste site.Secondly,based on particle swarm optimization algorithm,progressively search the optimal solution by updating the section division of the railway earthwork allocation.Taking a complex mountain railway as an example,a case study is conducted to validate the concurrent optimization model of earthwork allocation and the borrow/waste site selection.Compared with manual solutions,the final machine selected optimal solution can save 13.77%of the comprehensive cost.The results indicate the effectiveness of this method,which can improve the efficiency of solving earthwork allocation and the borrow/waste site selection problems and provide reference value for designers.
railway alignmentsearthwork allocationborrow/waste site selectionconcurrent optimizationprogressive solution algorithm
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