RAIRO-Oper. Res. 56 (2022) 3311–3339 RAIRO Operations Research https://doi.org/10.1051/ro/2022110 www.rairo-ro.org A META HEURISTIC APPROACH FOR RELIABLE CAPACITATED FACILITY JOINT INVENTORY-LOCATION PROBLEM WITH ROUND-TRIP TRANSPORTATION UNDER IMPERFECT INFORMATION OF DISRUPTION IN A FUZZY ENVIRONMENT Alireza Asadi Delivand 1 , Shayan Shafiee Moghadam 1 , Soroush Jolai 2 , Amir Aghsami 1,3 and Fariborz Jolai 1,* Abstract. In today’s systems and networks, disruption is inevitable. Designing a reliable system to overcome probable facility disruptions plays a crucial role in planning and management. This article proposes a reliable capacitated facility joint inventory-location problem where location-independent dis- ruption may occur in facilities. The system tries to satisfy customer’s demands and considers penalty costs for unmet customer demand. The article aims to minimize total costs such as establishing inven- tory, uncovered demand’s penalty, and transportation costs. While many articles in this area only use exact methods to solve the problem, this article uses a metaheuristic algorithm, the red deer algorithm, and the exact methods. Various numerical examples have shown the outstanding performance of the red deer algorithm compared to exact methods. Sensitivity analyses show the impacts of various pa- rameters on the objective function and the optimal facility layouts. Lastly, managerial insights will be proposed based on sensitivity analysis. Mathematics Subject Classification. 90B06, 90B05. Received November 10, 2021. Accepted June 22, 2022. 1. Introduction Facility location problems are one of the most widely used issues in scientific topics, and so far, many studies and research have been done in this field, and many models have been developed. Today, facility location problems are considered alongside inventory problems. Since inventory control is essential in providing better customer service, paying attention to such issues is important [7]. A typical location-inventory problem aims to determine the optimum number and facilities’ location, allocate customers to facilities and optimize inventory level at facilities with considered different costs such as fixed (opening) cost, operation cost, inventory cost, and transportation cost. This problem combines both long-term and short-term decision-making together [16]. Keywords. Joint inventory-location problem, customers satisfaction, independent disruption, red deer algorithm, reliable capac- itated facility location problem. 1 School of Industrial and Systems Engineering, College of Engineering, University of Tehran, Tehran, Iran. 2 Department of Management, Alborz Campous, University of Tehran, Tehran, Iran. 3 School of Industrial Engineering, K. N. Toosi University of Technology (KNTU), Tehran, Iran. * Corresponding author: fjolai@ut.ac.ir c ○ The authors. Published by EDP Sciences, ROADEF, SMAI 2022 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.