University of Guilan Computational Sciences and Engineering 2783-2503 4 2 2024 09 01 An Integrated Multi-Objective MILP Model for Rebar Delivery Scheduling and Vehicle Routing: A Case Study 217 236 8920 10.22124/cse.2025.31203.1113 EN Seyed Amin Badri University of Guilan Mehdi Yaghoobi Amirkabir Khazar Steel Company, Lakan Industrial Town, Rasht, Iran Journal Article 2025 03 15 This study addresses the critical challenge of optimizing rebar delivery in heavy logistics industries by proposing an integrated multi-objective mixed-integer linear programming (MILP) model for simultaneous delivery scheduling and vehicle routing. The model aims to minimize three conflicting objectives: the overall makespan of deliveries, the weighted customer dissatisfaction from delivery time windows based on customer priority, and the total transportation costs. A fuzzy multi-objective optimization approach, based on the principles of Bellman and Zadeh and Zimmermann’s method, is employed to transform this complex problem into a single-objective maximization problem of an overall satisfaction level. The efficacy and practical applicability of the proposed model are validated through a real-world case study from Amir Kabir Khazar Steel Company in Gilan province, Iran. The case study involves 51 customer orders to be delivered over a three-day planning horizon, incorporating realistic constraints such as specific time windows and customer priority levels. Computational results, obtained using GAMS with the CPLEX solver, demonstrate that the model successfully achieves a high overall satisfaction level of λ =0.841. The findings offer significant managerial insights for balancing operational efficiency, cost reduction, and customer satisfaction in rebar supply chains. https://cse.guilan.ac.ir/article_8920_ad389038566df10b23df4398ca2aeb27.pdf