Presenting a Multi-objective mathematical Model of a location-routing-inventory problem for hazardous materials considering the concept elastic demand and queuing system

Increasing the population, followed by increasing human needs and problems related to transportation, has led managers to seek for solutions by the goal of increasing economic profitability and reducing costs. Therefore, in this study, a set of location decisions, vehicle routing and inventory management has been used as the main tools to face with these problems.

model has been solved and validated by Gams software using Epsilon method in small scale. Since this is one of the NP-Hard problems, meta-heuristic algorithms, MOPSO, MOFF, MOIWO, NSGA-II have been used to solve large-scale problems.

The results of all comparative criteria show the superiority of the MOIWO algorithm over other algorithms and the appropriate efficiency of these methods in solving the mathematical model, especially in high dimensions and short times.

 In this study, the design of hazardous materials transportation network is considered by considering the decisions related to location, routing, inventory. For this purpose, a new multi-objective mathematical model with the objectives of minimizing cost, minimizing travel time and maximum social responsibility is presented. This mathematical model can be used in different areas and different dimensions.