The characteristics,optimization models and optimization algorithms of railway infrastructure construction schemes were analysis,the double code-network diagrams were drawn,the time required for the construction process was taken as independent variable,and a method for calculating the construction cost was proposed under considering the time cost of capital.The system reliability theory was introduced to quantitatively assess the construction quality,the interrelationship between the safety level,time and cost of construction quality was explored,the safety level was calculated,and a multi-objective equilibrium optimization model of quality-safety-duration-cost for railway infrastructure construction was put forward.The NSGA-Ⅲalgorithm was improved by introducing the random integer genetic coding method and penalty function method to solve the Pareto solution set of the model,the solution performance of the improved algorithm was compared with the NSGA-Ⅱ algorithm,and the model was verified by using a railway construction case.Analysis results show that when the population number is 140,the iteration number is 900,and the test number is 40,the average coverage rate per generation of the improved NSGA-Ⅲ algorithm to the NSGA-Ⅱ algorithm is nearly 27 times higher than that of the NSGA-Ⅱ algorithm to the improved NSGA-Ⅲ algorithm,and the mean supervolume per generation of the improved NSGA-Ⅲ algorithm is nearly 54％higher than that of the NSGA-Ⅱalgorithm,therefore,the improved NSGA-Ⅲ algorithm is obviously superior to the traditional NSGA-Ⅱ algorithm.The proposed model and improved NSGA-Ⅲ algorithm are well applied to the multi-objective equilibrium optimization of railway construction management.In the construction case of track engineering,when the population number is 140,the iteration number is 900,and the reference point number in each dimension is 8,140 Pareto solutions are obtained,and the maximum optimizations of quality level,safety level,duration and cost of the engineering are 0.1121,0.1073,36 days and nearly 7.2 million yuan,which can better guide the decision makers to arrange the construction.4 tabs,12 figs,27 refs.
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