Rough approximation-based random model for quarry location and stone materials transportation problem

Abstract

This paper considers a bi-level multi-objective quarry location and stone materials transportation problem for a large-scale construction project with random phenomenon. Based on the characteristics and mechanisms of the problem, the objective functions and constraints are established. To deal with the problem uncertainty, an expected value operator is employed to deal with the random coefficients in the objective functions, and a rough approximation method is adopted to deal with the feasible region, which features constraints with random coefficients. Then a rough approximation-based bi-level multi-objective model is developed as an equivalent crisp model. To solve the complex and nonlinear bi-level multi-objective model, a hybrid genetic algorithm embedded with an interactive fuzzy programming technique is designed as a combined solution method. Finally, the results and a comparison analysis of a case study at the Xiluodu dam construction project are presented to demonstrate the practicality and efficiency of the optimization method.