基于Lipschitz连续性的异质品联合补货-配送协同优化研究  

Coordinated Optimization of Joint Replenishment and Delivery Scheduling with Heterogenous Items Based on Lipschitz Continuity

作　　者：王思睿 王林[1] 彭璐 张金隆[1] Wang Sirui;Wang Lin;Peng Lu;Zhang Jinlong(School of Management,Huazhong University of Science and Technology,Wuhan 430074,China;School of Management,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[1]华中科技大学管理学院,湖北武汉430074 [2]武汉理工大学管理学院,湖北武汉430070

出　　处：《中国管理科学》2024年第5期218-228,共11页Chinese Journal of Management Science

基　　金：国家社会科学基金重大项目(20&ZD126)。

摘　　要：在多物品库存系统中,由于物品种类众多,物品间的异质性是一个难以忽视的问题。将异质性物品同时运输或联合补货,往往会造成额外的物流成本,或是增加不必要的管理困难。作为一种典型的多物品库存系统,联合补货系统能够有效利用规模优势、降低物流成本,但异质品也为其带来了新的挑战。除了物品性质外,经典联合补货问题研究还没有考虑配送环节的协同优化,这与零售业中常见的中心化供应链结构有着较大差异,也造成了其应用价值有限。针对异质性物品和协同配送这两点已有研究的不足,本文构建了一种异质品联合补货-配送协同优化模型。新模型为一个混合整数非线性规划,本文证明了其Lipschitz连续性和一系列其他性质,并在此基础上提出了一种全新的求解框架,对相关求解算法的理论做了一定补充。在400个随机算例的对比实验中,新算法表现出了令人满意的结果,在准确率、运算效率和鲁棒性上都超过了已有的算法,能提升11%~26%的性能。此外,本文还对协同效益进行敏感性分析并得到一些有益的管理启示,尤其是找到了协同配送策略的必要边界。实验发现,只有当中心仓库的库存管理水平相比零售商的库存管理水平有较大优势时,协同配送才能够取得较高的成本节约效益,否则协同配送的意义不大。In the context of global procurement,the fixed ordering costs involved in the procurement process,such as service charges,telecommunications costs,travel expenses of staff,intermediary costs for purchasing through agents,and shipping costs for international purchasing,have increased dramatically.Under such circumstances,the jointreplenishment(JR)policy is a highly effective cost-control measure,which not only decreases the fixed ordering cost but also procures a large order and achieves economies of scale.When a group of goods are supplied by the same supplier or are transported by the same freighter,JR policy can achieve the scale effect of purchasing and shipping by sharing the fixed transportation cost.Joint replenishment system,as a typical multi-item inventory system,also have some disadvantages.The heterogeneity of items is an innegligible issue,in particular when there is a variety of items.Such heterogeneity may be caused by various reasons.For example,cold-chain transportation costs may be shared by items when fresh food and normal products are transported together;some chemical products may corrode other objects,and thus additional packaging costs can be charged in this case;joint transportation of bulky cargos and heavy cargos can lead to damage to bulky cargos.This heterogeneity often leads to additional logistics costs or unnecessary administra⁃tive difficulties.Although heterogeneous items are very important in joint replenishment system,researches about this consideration is very scarce.Moreover,the basic joint replenishment problem disregards the coordinated scheduling occurred in the delivery stage,which makes it very limited to be applied.In order to fill the above research gaps.The coordinated optimization of joint replenishment and delivery scheduling with heterogenous items(JRD-HI)is considered.The problem is formulated as a mixed integer nonlinear program.Since it has been proven strongly NP-hard,our problem at hand is very difficult to solve.Conventional methods for mathematical programmi

关 键 词：联合补货 协同配送 异质品 LIPSCHITZ连续 库存管理 

分 类 号：F273[经济管理—企业管理]