An Improved Particle Swarm Optimization Algorithm for Vehicle Routing Problem with Simultaneous Pickup and Delivery.

The Vehicle Routing Problem with Simultaneous Pickup and Delivery (VRPSPD) is a variant of the Capacitated Vehicle Routing Problem (CVRP), in which clients require both pickup and delivery services. This paper proposes an improved particle swarm optimization algorithm based on multiple social structures for solving VRPSPD. The decoding of single particle in swarm consists two parts: the first is m dimensional (m-D) variables for m customers, and the second comprises 2n dimensions (2n-D) for n vehicles which presents vehicle route orientation. The particle is transformed to customers΄ list and vehicles matrix. A benchmark dataset is used to validate the performance of proposed algorithm. Comparing with prior works, promising results indicate that the proposed algorithm may hold high potentials for generating powerful tool for solving VRPSPD and other attributes of vehicle routing problem. [ABSTRACT FROM AUTHOR]