A New Bi-Objective Location-Routing-Inventory Problem with Fuzzy Demands

This paper presents a new bi-objective location-routing-inventory (LRI) problem that considers a multi-period and multi-product problem with heterogeneous fleets in a two-echelon distribution network. The uncertainty in the demand of customers is defined by a fuzzy approach. Two conflicting fuzzy objective functions are included, first of which is to minimize the costs of the used vehicles, fuel consumption, inventory holding, transporting and locating open distribution centers. The second objective is to minimize the shortage of products for each customer. Numerical results demonstrate the validity of the presented model and show the ability of the model to confront real cases.