The open location-routing problem for multi-objective optimization of sustainable supply chain considering social concerns

Taking into account the variety of real-world constraints and incorporating them classical problems are essential in designing supply chain networks. Meanwhile, given importance outsourcing, open location-routing problem (OLRP) is proposed to fulfill customers' demands minimize costs by determining optimal location vehicle facilities routes. In addition, sustainability attracting increasing attention since it promotes a bright future for coming generations striking balance between economic, environmental, social performances design. this study, we contribute scarce literature on OLRP. First, using OLRP, model sustainable that addresses all pillars. Second, use NSGA-Ⅱ meta-heuristic method solve finally compare its efficiency with Cplex. The characterized study can be considered basic reference subject Moreover, indicate both solution methods capable solving developed model; however, method, NSGA-Ⅱ, significantly more efficient than one, Cplex, terms computation time, particularly medium- large-scale problems.