Abstract: In view of that it is difficult to reasonably estimate the probability distribution of parameters or determine the membership function in the study of location selection of railway emergency facilities, combining the site-path problem with the interval non-probabilistic reliability method, and based on the complex network theory, a method to determine the interval weight of network nodes is proposed. Considering the confluence of interval uncertainties in node weight, edge weight and path weight, a weighted network of railway emergency facility location nodes is constructed. Based on the interval non-probabilistic reliability theory and interval operation rules, the path non-probabilistic reliability measurement and optimal time reliability path selection method are proposed, and a robust optimization model for railway emergency location-routing based on non-probabilistic reliability was established, in which node weights, edge weights and path weights were all interval numbers. As well as the solution algorithm is given. Furthermore, the optimal scheme of robust location of railway emergency facilities based on interval model is determined. Numerical examples show that the optimization scheme in this paper can better ensure the time robustness of rescue, effectively avoid the long-term risk of uncertain factors fluctuations on facility location, and have good practical application value.

Key words: railway emergency facilities; location-routing problem; non-probability reliability; optimal time reliability path; robust optimization