A FUZZY MINIMUM RISK MODEL FOR THE RAILWAY TRANSPORTATION PLANNING PROBLEM

Abstract. The railway transportation planning under the fuzzy environment is investigated in this paper. As a main result, a new modeling method, called minimum risk chance-constrained model, is presented based on the credibility measure. For the convenience of solving the mathematical model, the crisp equivalents of chance functions are analyzed under the condition that the involved fuzzy parameters are trapezoidal fuzzy variables. An approximate model is also constructed for the problem based on an improved discretiza-tion method for fuzzy variables and the relevant convergence theorems. To obtain an approximate solution, a tabu search algorithm is designed for the presented model. Finally, some numerical experiments are performed to show the applications of the model and the algorithm. 1