developing an environmental vehicle routing problem with simultaneous pickup and delivery: mathematical model and a discrete invasive weed optimization approach

Nowadays, environmental deterioration is one of the most noticeable issues in logistics, so that the organizations are required to control the triggers of environmental contaminations generation. one of the most effective steps in addressing this term is to design transportation network considering co2 emission limitation. in this paper, a vehicle routing problem with simultaneous pickup and delivery with heterogeneous fleet and environmental measurement consideration is proposed. introduced two objectives mathematical modeling, with the help of the weighted lp metric method has become to a combined dimensionless objective. the formulated optimization problem is solved in small dimensions using general algebraic modelling system (gams) approach and specifically baron solver respect to the nature of the mathematical equations. the results obtained from simulations are discussed to confirm the effectiveness of the proposed method in dealing with the desired example. because of np-hardness, discrete invasive weed optimization (diwo) meta-heuristic algorithm is applied.