{"title":"具有柔性供应网络的动态库存控制模型","authors":"Kimitoshi Sato, Naoya Takezawa","doi":"10.15807/JORSJ.61.217","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the inventory problem of a firm facing disruption probability in its supply chain which consists of multiple suppliers and multiple demand nodes. The firm wishes to minimize its total expected cost in a finite time horizon setting. In order to manage the supply chain disruption, we introduce flexibility into the supply chain network of our inventory management problem. The problem is formulated as a Markov decision process, and a state-dependent optimal threshold policy is derived. We show that the expected cost function is monotonic in the convex ordering of the demand distribution and that the optimal policy can be characterized with the ratio of the ordering cost and the disruption probability of supply. We also numerically demonstrate that the flexibility of the supply chain network reduces the total expected cost.","PeriodicalId":51107,"journal":{"name":"Journal of the Operations Research Society of Japan","volume":"61 1","pages":"217-235"},"PeriodicalIF":0.0000,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.15807/JORSJ.61.217","citationCount":"1","resultStr":"{\"title\":\"DYNAMIC INVENTORY CONTROL MODEL WITH FLEXIBLE SUPPLY NETWORK\",\"authors\":\"Kimitoshi Sato, Naoya Takezawa\",\"doi\":\"10.15807/JORSJ.61.217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the inventory problem of a firm facing disruption probability in its supply chain which consists of multiple suppliers and multiple demand nodes. The firm wishes to minimize its total expected cost in a finite time horizon setting. In order to manage the supply chain disruption, we introduce flexibility into the supply chain network of our inventory management problem. The problem is formulated as a Markov decision process, and a state-dependent optimal threshold policy is derived. We show that the expected cost function is monotonic in the convex ordering of the demand distribution and that the optimal policy can be characterized with the ratio of the ordering cost and the disruption probability of supply. We also numerically demonstrate that the flexibility of the supply chain network reduces the total expected cost.\",\"PeriodicalId\":51107,\"journal\":{\"name\":\"Journal of the Operations Research Society of Japan\",\"volume\":\"61 1\",\"pages\":\"217-235\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.15807/JORSJ.61.217\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Operations Research Society of Japan\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15807/JORSJ.61.217\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Decision Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Operations Research Society of Japan","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15807/JORSJ.61.217","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Decision Sciences","Score":null,"Total":0}
DYNAMIC INVENTORY CONTROL MODEL WITH FLEXIBLE SUPPLY NETWORK
In this paper, we consider the inventory problem of a firm facing disruption probability in its supply chain which consists of multiple suppliers and multiple demand nodes. The firm wishes to minimize its total expected cost in a finite time horizon setting. In order to manage the supply chain disruption, we introduce flexibility into the supply chain network of our inventory management problem. The problem is formulated as a Markov decision process, and a state-dependent optimal threshold policy is derived. We show that the expected cost function is monotonic in the convex ordering of the demand distribution and that the optimal policy can be characterized with the ratio of the ordering cost and the disruption probability of supply. We also numerically demonstrate that the flexibility of the supply chain network reduces the total expected cost.
期刊介绍:
The journal publishes original work and quality reviews in the field of operations research and management science to OR practitioners and researchers in two substantive categories: operations research methods; applications and practices of operations research in industry, public sector, and all areas of science and engineering.