Research on multi-objective location-routing problem (MLRP) with random analysis for regional distribution

The location of the distribution facilities and the vehicles from these facilities are interdependent in many distribution systems. Such a concept recognizes the interdependence; attempts to integrate these two decisions have been limited. Multi-objective location-routing problem (MLRP) is combined the facility location and the vehicle routing decision and satisfied the different objectives. Due to the problem complexity, simultaneous solution methods are limited, which exits in different objectives with conflicts in functions satisfied. Two kinds of optimal mathematical models are proposed for the solution of MLRP. The three methods have been emphatically developed for MLRP. Multi-objective genetic algorithm (MGA) is introduced to solving MLRP based on Pareto. MGA architecture makes it possible to search the solution space efficiently, which provides a path for searching the solution with two-objective LRP. At Last the practical prove is given by random analysis for regional distribution with nine cities.