@article { author = {Rabani, Masoud and Abdolhamidi, Dorsa and Mokhtarzadeh, Mahdi and Fatemi-Anaraki, Soroush}, title = {Solving a bi-objective medicine distribution problem considering delivery to waste center using a hybrid clustering, mathematical modeling and NSGA-II approach}, journal = {Journal of Industrial and Systems Engineering}, volume = {13}, number = {Issue 2}, pages = {245-263}, year = {2021}, publisher = {Iranian Institute of Industrial Engineering}, issn = {1735-8272}, eissn = {2717-3380}, doi = {}, abstract = {Proper transportation and distribution of commodities plays a pivotal role in the expenditures of supply chains. In this paper, a clustered vehicle routing problem with pick-up and delivery is studied. A fleet of distinct vehicles is concurrently responsible for distribution of medicines and collection of their wastes. Collected wastes should be sent to a waste center. To solve the problem, a bi-objective mathematical model is presented. Fairness of travelled distances among drivers and transportation expenses are two objective functions considered in the model. Since the proposed problem is NP-hard, a three-step hybrid approach is developed to solve the problem. First, K-medoids clustering algorithm allocates customers to subsets based on their coordinates. Second, a mathematical model is used for routing vehicles within each cluster. Third, NSGA-II is used to produce final result using the outcome of step 2. Extensive numerical results indicate the superiority of the proposed approach against the NSGA-II.}, keywords = {VRP,Fairness,delivery to disposal center,Clustering,NSGA-II}, url = {https://www.jise.ir/article_119806.html}, eprint = {https://www.jise.ir/article_119806_3205a3753c8ae226afe9f8d4bef60e28.pdf} }