TY - JOUR ID - 119806 TI - Solving a bi-objective medicine distribution problem considering delivery to waste center using a hybrid clustering, mathematical modeling and NSGA-II approach JO - Journal of Industrial and Systems Engineering JA - JISE LA - en SN - 1735-8272 AU - Rabani, Masoud AU - Abdolhamidi, Dorsa AU - Mokhtarzadeh, Mahdi AU - Fatemi-Anaraki, Soroush AD - School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran Y1 - 2021 PY - 2021 VL - 13 IS - Issue 2 SP - 245 EP - 263 KW - VRP KW - Fairness KW - delivery to disposal center KW - Clustering KW - NSGA-II DO - N2 - 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. UR - https://www.jise.ir/article_119806.html L1 - https://www.jise.ir/article_119806_3205a3753c8ae226afe9f8d4bef60e28.pdf ER -