A joint replenishment problem considering multiple trucks with shipment and resource constraints |
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| Affiliation: | 1. School of Economics and Management, Southwest Jiaotong University, Chengdu, Sichuan 610031, PR China;2. Department of Mechanical and Industrial Engineering, Ryerson University, 350 Victoria Street, Toronto, ON, Canada 5MB 2K3;3. Department of Agro-Industrial Technology, Kasetsart University, 50 Phahonyothin Road, Lad Yao, Chatuchak, Bangkok 10900, Thailand;1. School of Economics and Management, Southwest Jiaotong University, 111, 1st Section, Northern 2nd Ring Road, Chengdu, Sichuan 610031, China;2. ChongQing Urban Integrated-Transportation Pivot Investment Co., Ltd, 128, Zhongshan 3rd Road, Yu Zhong District, Chongqing 400000, China;3. School of Transportation and Logistics, Southwest Jiaotong University, 111, 1st Section, Northern 2nd Ring Road, Chengdu, Sichuan 610031, China;4. Department of Intelligent Transportation, Beijing Aerospace Dacheng Wisdom System Technology Development Center, 5 Minzuyuan Road, Chaoyang District, Beijing 100086, China;5. Department of Mechanical and Industrial Engineering, Ryerson University, 350 Victoria Street, Toronto M5B2K3, Canada;1. Decision & Information Sciences, School of Business Administration, Oakland University, 275 Varner Drive, Rochester, MI 48309-4485, USA;2. Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, ON M5B 2K3, Canada;1. School of Economics and Management, Southwest Jiaotong University, 111, 1st Section, Northern 2nd Ring Road, Chengdu, Sichuan 610031, China;2. School of Transportation and Logistics, Southwest Jiaotong University, 111, 1st Section, Northern 2nd Ring Road, Chengdu, Sichuan 610031, China;3. Department of Mechanical and Industrial Engineering, Ryerson University, 350 Victoria Street, Toronto, ON M5B2K3, Canada;1. School of Management, Huazhong University of Science and Technology, Wuhan 430074, China;2. Economics and Management School, Wuhan University, Wuhan 430072, China;1. College of Economics and Management, Nanjing Forestry University, China;2. School of Management, Nanjing University of Posts and Telecommunications, China |
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| Abstract: | A joint replenishment problem (JRP) is presented to determine the optimal reordering policy for multi-items with a percentage of defective items. This JRP also has several constraints, such as shipment constraint, budget constraint, and transportation capacity constraint. At the meantime, multiple trucks, each with a fixed transportation cost, are considered and also order quantities of restricted items are not shared among the trucks during the shipment. The objective is to minimize the total expected cost per unit time. A two-dimensional genetic algorithm (GA) is provided to determine an optimal family cycle length and the reorder frequencies. A numerical example is presented and the results are discussed. Extensive computational experiments are performed to test the performance of the GA. The JRP is also solved by using an evolutionary algorithm (EA) and the results obtained from GA and EA are compared. |
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| Keywords: | Joint replenishment Genetic algorithm Shipment constraint Multiple trucks |
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