An Efficient Threshold Acceptance-Based Multi-Layer Search Algorithm for Capacitated Electric Vehicle Routing Problem

The capacitated electric vehicle routing problem (CEVRP) extends the traditional vehicle routing problem by simultaneously considering the service order of the customers and the recharging schedules of the vehicles. Due to its NP-hard nature, we decompose the original problem into two sub-problems: a capacitated vehicle routing problem (CVRP) and a fixed route vehicle charging problem (FRVCP). A highly effective threshold acceptance based multi-layer search (TAMLS) algorithm is proposed to quickly obtain high-quality solutions. TAMLS consists of three layers. An iterated thresholding search procedure and a thresholding selection procedure are employed to produce diversified CVRP solutions in the first layer and to screen out high quality ones in the second layer, respectively. In the third layer, a removal heuristic coupling with an enumeration method is adopted to solve FRVRP, which produces optimized charging schedules. Extensive computational results show that TAMLS outperforms the state-of-the-art algorithms in terms of both solution quality and computation time. In particular, it is able to obtain new best results for 11 out of 17 benchmark instances, and reach the best known results on the remaining 6 instances. Additional experimental analyses are performed to better understand the contributions of key algorithmic components.