A parallel variable neighborhood search for the multi-objective sustainable post-sales network design problem

► A multi-objective post-sales reverse logistics network design model is proposed. ► Reducing required landfill space is an objective function of the proposed model. ► Various decisions about products, technology, and capacity selection are considered. ► A new parallel multi-objective VNS is developed to obtain Pareto optimal solutions. ► The proposed method is superior to a MOMA and a parallel branch and bound method.