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In order to ensure supply chain collaboration stability, ant colony optimization algorithm was used to study construction supply chain operational efficiency, to determine the dynamic operational errors of construction supply chain. Neural network and data mining technology were used to forecast the investment risk of construction project, to determine the forecasting errors of construction project investment risk. Rough sets and neural network technology were used to evaluate the risk of discrete non-deterministic characteristics in construction process, to determine the risk evaluation errors of construction process for project. Fuzzy neural network with chaotic time series was used to forecast the construction demand of project in a certain period of time, to determine the errors of demand forecast in construction supply chain. Bessel function was used to analyze the stability of construction supply chain collaboration under internal load and external load. Above-mentioned errors is overlapped, and input to Bessel function. System control theory is used to analyze stability state of construction supply chain under the impact load, to determine the method of construction supply chain span.