A decomposition and coordination method for optimising ( Q , S ) policies in a two-echelon distribution system with joint replenishment

IF 7 2区 工程技术 Q1 ENGINEERING, INDUSTRIAL
Lei Wang, Haoxun Chen
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引用次数: 0

Abstract

AbstractA continuous-review, two-echelon distribution system with one central distribution centre (CDC) and multiple regional distribution centres (RDCs) is studied. The CDC jointly replenishes its inventories of multiple items from an external supplier, while each RDC replenishes its inventories of the items from the CDC. Each RDC faces a Poisson demand for each item, and the inventories of each stock in the system are controlled by a (Q, S) policy. Under this policy, an order is placed by a stock whenever its aggregate demand since the last order reaches a given quantity, and the inventory position of each item is raised up to its order-up-to level after the order placement. The objective is to optimise these (Q, S) policies so that the expected total cost of this system is minimised. We propose a decomposition and coordination method for this optimisation after deriving analytically the cost function of the system. Our extensive numerical experiments demonstrate the effectiveness of the proposed method. Furthermore, a parameter sensitivity analysis is conducted to analyse the impacts of some key system parameters on the performance of the method, and managerial insights are provided for optimising distribution systems with joint replenishment and real applications of the method.KEYWORDS: Inventory managementjoint replenishmentdistribution systemdecomposition and coordinationoptimisation Disclosure statementNo potential conflict of interest was reported by the author(s).Data availability statementThe authors confirm that the data supporting the findings of this study are available within the article and its supplementary materials.Additional informationFundingThis work was supported by China Scholarship Council with [grant number 201806950117].Notes on contributorsLei WangLei Wang received his B.Eng. and M.Sc. degrees in logistics engineering from Wuhan University of Technology, China, in 2017 and 2019, respectively. He received his Ph.D. degree in system security and optimisation from University of Technology of Troyes, France, in 2023. He has published an article in the Computers & Operations Research. His current research interests include inventory management, supply chain optimisation, and operations research.Haoxun ChenHaoxun Chen received his B. S. degree in applied mathematics from Fudan University, China, in 1984, his Master and Ph.D. degree in systems engineering in 1987 and 1990, respectively, from Xi’an Jiaotong University, China. He was with Xi’an Jiaotong University as a Lecturer from 1990 to 1992 and as an Associate Professor from 1993 to 1996. He visited INRIA-Lorraine, France, as a Visiting Professor, in 1994, University of Magdeburg, Germany, as a Research Fellow of Alexander von Humboldt Foundation, in 1997 and 1998, and University of Connecticut as an Assistant Professor in 1999 and 2000. He joined University of Technology of Troyes, France, in 2001 and has been a Full Professor since 2004. His research interests include supply chain inventory management, collaborative logistics, combinatorial auctions, game theory, and data envelopment analysis. He has published more than 170 papers in international journals and conference proceedings. He received King-Sun Fu Memorial Best Transactions Paper Award from IEEE Robotics and Control Society in 1998 and National Natural Science Award (China) of Second-Class in 2005. He was responsible for more than ten academic and industrial research projects such as a French ANR (Agence Nationale de la Recherche) project on collaborative logistics and an AIR (Alibaba Innovative Research) project on inventory management.
联合补给两梯次配送系统(Q, S)策略优化的分解与协调方法
摘要研究了具有一个中心配送中心(CDC)和多个区域配送中心(RDCs)的连续评审两级配送系统。CDC联合从外部供应商处补充多个项目的库存,而每个RDC从CDC处补充其项目的库存。每个RDC对每个产品都有泊松需求,系统中每个库存的库存由(Q, S)策略控制。在此策略下,每当自上次订单以来的总需求达到给定数量时,库存就会下订单,并且在订单下达后,每种产品的库存位置都会上升到其订单至订单水平。目标是优化这些(Q, S)策略,使该系统的预期总成本最小化。在解析地推导出系统的成本函数后,我们提出了一种分解和协调的优化方法。大量的数值实验证明了该方法的有效性。此外,还进行了参数敏感性分析,分析了一些关键系统参数对该方法性能的影响,并为优化联合补给配送系统和该方法的实际应用提供了管理见解。关键词:库存管理联合补货配送系统分解与协调优化披露声明作者未发现潜在利益冲突。数据可用性声明作者确认,支持本研究结果的数据可在文章及其补充材料中获得。本研究由中国国家留学基金委资助,资助号:201806950117。王磊,分别于2017年和2019年获得武汉理工大学物流工程学士和硕士学位。他于2023年获得法国特鲁瓦理工大学系统安全与优化博士学位。他在《计算机与运筹学》上发表了一篇文章。他目前的研究兴趣包括库存管理、供应链优化和运筹学。陈浩勋,1984年毕业于中国复旦大学应用数学专业,1987年和1990年分别获得西安交通大学系统工程专业硕士和博士学位。1990年至1992年任西安交通大学讲师,1993年至1996年任副教授。1994年作为客座教授访问法国洛林研究所,1997年和1998年作为洪堡基金会研究员访问德国马格德堡大学,1999年和2000年作为助理教授访问康涅狄格大学。他于2001年加入法国特鲁瓦科技大学,自2004年以来一直担任正教授。他的研究兴趣包括供应链库存管理、协同物流、组合拍卖、博弈论和数据包络分析。他在国际期刊和会议论文集上发表了170多篇论文。1998年获IEEE机器人与控制学会傅景荪纪念奖最佳论文奖;2005年获国家自然科学二等奖。他负责了十多个学术和工业研究项目,如法国国家研究中心(ANR)的协同物流项目和阿里巴巴创新研究中心(AIR)的库存管理项目。
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来源期刊
International Journal of Production Research
International Journal of Production Research 管理科学-工程:工业
CiteScore
19.20
自引率
14.10%
发文量
318
审稿时长
6.3 months
期刊介绍: The International Journal of Production Research (IJPR), published since 1961, is a well-established, highly successful and leading journal reporting manufacturing, production and operations management research. IJPR is published 24 times a year and includes papers on innovation management, design of products, manufacturing processes, production and logistics systems. Production economics, the essential behaviour of production resources and systems as well as the complex decision problems that arise in design, management and control of production and logistics systems are considered. IJPR is a journal for researchers and professors in mechanical engineering, industrial and systems engineering, operations research and management science, and business. It is also an informative reference for industrial managers looking to improve the efficiency and effectiveness of their production systems.
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