TY - JOUR ID - 139093 TI - A variable service rate queue model for hub median problem JO - Journal of Applied Research on Industrial Engineering JA - JARIE LA - en SN - 2538-5100 AU - Saeedi, Sarow AU - Poursabzi, Omid AU - Ardalan, Zaniar AU - Karimi, Sajad AD - Department of Industrial Engineering, Faculty of Engineering, Kharazmi University, Tehran, Iran. AD - Department of Systems and Industrial Engineering University of Arizona, Tucson, Arizona, USA. AD - Department of System Science and Industrial Engineering, Binghamton University, Binghamton, New York, USA. Y1 - 2023 PY - 2023 VL - 10 IS - 2 SP - 155 EP - 166 KW - Hub Location Problem KW - p-hub median KW - Queuing system KW - Congestion KW - variable service rate DO - 10.22105/jarie.2021.301634.1372 N2 - Hub location problems (HLP) have multiple applications in logistic systems, the airways industry, supply chain network design, and telecommunication. In the HLP, the selected nodes as hubs perform the principal role in processing the inflow arising from other nodes. So, congestion would be inevitable at hub nodes. This paper considers a p-hub median problem with multiple hub node servers delivering service at variable rates. Since the service rates are limited and variable, a queue is formed at each hub server. To tackle this problem, we developed a mixed-integer linear programming model that optimizes the selected hub nodes to reduce congestion under an allowable defined queue length at each server and minimize the total costs of the model, including transportation and hub establishment costs. We utilized the Civil Aeronautics Board (CAB) dataset containing 25 USA cities, which is a valuable source for designing numerical examples in the HLP, to prove the model's efficiency. The results obtained from the designed sample problems show that strategic decisions on defining the number of hubs and maximum acceptable queue length at each hub server will significantly impact the hub location network design. UR - https://www.journal-aprie.com/article_139093.html L1 - https://www.journal-aprie.com/article_139093_080c089ff5356ae506b5c53020aff0db.pdf ER -