Shahid Beheshti University Journal of Industrial Management Perspective 2251-9874 11 2 2021 06 22 Modeling and Solving the Cross-Docking Centers Location and Vehicle Scheduling Problem in a Multi-Product Supply Chain with Discrete Pick-up and Delivery Modeling and Solving the Cross-Docking Centers Location and Vehicle Scheduling Problem in a Multi-Product Supply Chain with Discrete Pick-up and Delivery 41 66 94173 10.52547/jimp.11.2.41 FA Soheyla Ghorbani MSc, Islamic Azad University, Qazvin Branch. Behrouz Afshar-Nadjafi Associate Professor, Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Islamic Azad University, Qazvin Branch. Journal Article 2020 03 03 This research studies cross-docking centers location and vehicles routing scheduling problems simultaneously in a three-level supply chain with discrete pick-up and delivery. The proposed problem is formulated as a mixed-integer nonlinear programming model with the aim of reducing total cost includes cross-docking centers construction cost, transportation fixed and variable costs, earliness and tardiness penalty costs. In this supply chain model, vehicles start from a cross-docking center and pick up different products from various suppliers and after classifying and preparing products at cross-docking centers, a different group of vehicles are sent to deliver products to customers. For delivering any kind of product to each customer, a soft time window is considered. Herein, three types of small, medium and large size instances have been generated randomly and solved by using the proposed simulated annealing algorithm. For small problems, the results from simulated annealing algorithm are compared with the solutions obtained by the exact methods. This research studies cross-docking centers location and vehicles routing scheduling problems simultaneously in a three-level supply chain with discrete pick-up and delivery. The proposed problem is formulated as a mixed-integer nonlinear programming model with the aim of reducing total cost includes cross-docking centers construction cost, transportation fixed and variable costs, earliness and tardiness penalty costs. In this supply chain model, vehicles start from a cross-docking center and pick up different products from various suppliers and after classifying and preparing products at cross-docking centers, a different group of vehicles are sent to deliver products to customers. For delivering any kind of product to each customer, a soft time window is considered. Herein, three types of small, medium and large size instances have been generated randomly and solved by using the proposed simulated annealing algorithm. For small problems, the results from simulated annealing algorithm are compared with the solutions obtained by the exact methods. https://jimp.sbu.ac.ir/article_94173_1fef42fa33a688b86a6fc2f3f9d58754.pdf