{"title":"A deterministic model for the inventory policy of countries for procurement of vaccines.","authors":"Aysun Pınarbaşı, Béla Vizvári","doi":"10.1007/s10100-022-00831-3","DOIUrl":null,"url":null,"abstract":"<p><p>The countries are the units that procure the vaccines during the COVID-19 pandemic. The delivered quantities are huge. The countries must bear the inventory holding cost according to the variation of stock quantities. This cost depends on the speed of the vaccination in the country. This speed is time-dependent. The vaccinated portion of the population can be approximated by the cumulative distribution function of the Cauchy distribution. A model is provided for determining the minimal-cost inventory policy and its optimality conditions are provided. The model is solved for 20 countries for different numbers of procurements. The results reveal the individual behavior of each country.</p>","PeriodicalId":9689,"journal":{"name":"Central European Journal of Operations Research","volume":" ","pages":"1-13"},"PeriodicalIF":1.4000,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9734365/pdf/","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Operations Research","FirstCategoryId":"91","ListUrlMain":"https://doi.org/10.1007/s10100-022-00831-3","RegionNum":4,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}
引用次数: 0
Abstract
The countries are the units that procure the vaccines during the COVID-19 pandemic. The delivered quantities are huge. The countries must bear the inventory holding cost according to the variation of stock quantities. This cost depends on the speed of the vaccination in the country. This speed is time-dependent. The vaccinated portion of the population can be approximated by the cumulative distribution function of the Cauchy distribution. A model is provided for determining the minimal-cost inventory policy and its optimality conditions are provided. The model is solved for 20 countries for different numbers of procurements. The results reveal the individual behavior of each country.
期刊介绍：
The Central European Journal of Operations Research provides an international readership with high quality papers that cover the theory and practice of OR and the relationship of OR methods to modern quantitative economics and business administration.
The focus is on topics such as:
- finance and banking
- measuring productivity and efficiency in the public sector
- environmental and energy issues
- computational tools for strategic decision support
- production management and logistics
- planning and scheduling
The journal publishes theoretical papers as well as application-oriented contributions and practical case studies. Occasionally, special issues feature a particular area of OR or report on the results of scientific meetings.
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