Mathematical Problems in Engineering · 2012 · 65 citations · 22 references
Mathematical ProgrammingSearch OptimizationEngineeringDiscrete OptimizationOperations ResearchVehicle RoutingLogisticsSystems EngineeringHybrid Optimization TechniqueCombinatorial OptimizationSwarm Intelligence ApproachesTransportation EngineeringIntelligent OptimizationHybrid AlgorithmAerospace EngineeringRoute PlanningElite AntsBusinessParticle Swarm OptimizationVehicle Routing ProblemAnt Colony Optimization
The vehicle routing problem (VRP) is a well‐known combinatorial optimization problem. It has been studied for several decades because finding effective vehicle routes is an important issue of logistic management. This paper proposes a new hybrid algorithm based on two main swarm intelligence (SI) approaches, ant colony optimization (ACO) and particle swarm optimization (PSO), for solving capacitated vehicle routing problems (CVRPs). In the proposed algorithm, each artificial ant, like a particle in PSO, is allowed to memorize the best solution ever found. After solution construction, only elite ants can update pheromone according to their own best‐so‐far solutions. Moreover, a pheromone disturbance method is embedded into the ACO framework to overcome the problem of pheromone stagnation. Two sets of benchmark problems were selected to test the performance of the proposed algorithm. The computational results show that the proposed algorithm performs well in comparison with existing swarm intelligence approaches.
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Riccardo Poli, James Kennedy, Tim Blackwell · Swarm Intelligence · 2007 · 21.3K citations
Firefly Algorithm, Intelligent Optimization, Particle Swarm Optimization +1
A modified particle swarm optimizer
Yibing Shi, R.C. Eberhart · 2002 · 10K citations
Complexity of vehicle routing and scheduling problems
Jan Karel Lenstra, A. H. G. Rinnooy Kan · Networks · 1981 · 1.3K citations