Innovative approaches to design and address green supply chain network with simultaneous pick-up and split delivery

Recent developments in business network have heightened the need for the issue of cost reduction while increasing the productivity. Supply chain network is a fundamental property of industrial practitioners and researchers. Achieving a practical objective, this research study has an attempt to enhance the efficiency of a supply chain by considering simultaneous pick up and split delivery. This attempt would result in total costs minimization and customer service maximization in the form of multi-products and multi-period. In addition, environmental aspect of this system is considered as well as green vehicle routing problem (GVRP). We propose a mixed-integer linear programming model by a e-constraint approach. This study not only utilizes exact method from GAMS software, but also employs four hybrid and meta-heuristics including GAKA, GAPSO, SA and RDA to develop and evaluate the solutions. In addition, the validation of model is presented for a real-life data. Besides, a case study has been done in order to accumulate the parameters data. This case study is utilized in a food industry located in the north of Iran. (C) 2019 Elsevier Ltd. All rights reserved.