Quantum evolutionary algorithm for vehicle routing problem with simultaneous delivery and pickup

Vehicle routing problem with simultaneous delivery and pickup (VRPSDP) with strong industrial background has gained wide attention both in academic and engineering fields. A novel quantum-inspired evolutionary algorithm (QEA) with computing the rotation gate using elite mean values based on chaos theory is presented for VRPSDP. A grey binary scheme is develop for individual representation. An efficient population initialization based on nearest insertion algorithm (NIA) and chaos function is proposed to generate an initial population with certain quality and diversity. A local search strategy based on the NIA and Or-Opt et.al, named the revision and improvement search, is applied to the solution. Simulation results and comparisons demonstrate the effectiveness of the proposed algorithm.