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A multi-objective healthcare inventory routing problem; a fuzzy possibilistic approach
Affiliation:1. Civil and Environmental Engineering Department, University of California Davis, 1 Shields Ave, Davis, CA 95616, United States;2. Civil and Environmental Engineering Department, Texas Tech University, 10th and Akron, Lubbock, TX 79409, United States;3. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, China;1. Department of Economics and Management, University of Brescia, Contrada Santa Chiara 50, 25122 Brescia, Italy;2. ITACA S.r.l., Ponte P. Bucci 41C, 87036 Arcavacata di Rende (CS), Italy;3. Department of Mechanical, Energy and Management Engineering, University of Calabria, Ponte P. Bucci 41C, 87036 Arcavacata di Rende (CS), Italy;1. Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran;2. Department of Industrial Engineering, Sharif University of Technology, P.O. Box 11155-9414, Azadi Ave., Tehran 1458889694, Iran;1. Cluster for Operations Research and Logistics, Department of Economics and Business, Aarhus University, Aarhus, Denmark;2. Department of Industrial Engineering and Management Systems, Amirkabir University of Technology, Tehran, Iran
Abstract:This paper presents a new multi-objective mathematical model to address a Healthcare Inventory Routing Problem (HIRP) for medicinal drug distribution to healthcare facilities. The first part of objective function minimizes total inventory and transportation costs, while satisfaction is maximized by minimizing forecast error which caused by product shortage and the amount of expired drugs; Greenhouse Gas (GHG) emissions are also minimized. A demand forecast approach has been integrated into the mathematical model to decrease drug shortage risk. A hybridized possibilistic method is applied to cope with uncertainty and an interactive fuzzy approach is considered to solve an auxiliary crisp multi-objective model and find optimized solutions.
Keywords:Inventory routing problem  Healthcare  Fuzzy mathematical programming  Possibilistic programming  Fuzzy multi-objective optimization
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