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The optimization of bi-objective vehicle routing problem has become a research hotspot in recent decades. In this paper, the bi-objective vehicle routing problem with time windows [BO-VRPTW] is proposed based on the existing research and a bi-objective mathematical model is formulated. This work gives focus on a bi-objective VRPTW to minimize both total distance and time balance of the routes. The main objective of this paper is to find the lowest –cost set of routes to deliver demand using identical vehicles with limited capacity to customers with fixed service time windows. This algorithm is applied for a publicly available set of benchmark instances, resulting in solutions which are better than others previously published.

Evolutionary algorithm for the bi-objective green vehicle routing problem with time windows