A novel bi-objective reliable location routing model considering impedance function under demand-side and supply-side uncertainty (A Case study)

Reliable location routing problem considers a location problem and a vehicle routing problem in order to select the optimal location of facilities and at the same time the optimal routes for vehicles considering the unexpected failure for facilities in which, all facilities may fail with a probability. In this paper, a bi-objective mathematical model has been developed to minimize the total costs and minimize expected value of total impedance value-weighted travel distance. To approach the model to real world, two types of uncertainty in model have been considered: 1) demand-side uncertainty and 2) supply side uncertainty and also, impedance function has been utilized to operationalize the concept of accessibility in transport planning research. To solve the model, first Ɛ-constraint method has been used for multi objective solution and then we implemented a small-sized case study in an urban district in Iran. The findings offer managerial insights into how various system parameters affect the optimal solution.