{"title":"通过数学建模和寻找可靠性来衡量和提高图书馆的效率","authors":"Yakshi Bahl, T. Garg","doi":"10.48001/veethika.2021.07.02.001","DOIUrl":null,"url":null,"abstract":"Here in this paper we have developed the mathematical model of the library server using Markov birth – death process assuming that library system server system is based on exponential distribution. The model so developed by victimisation Chapman Kolmogorov differential equation and is solved by using Mathematica. The solution so obtained is analysed for various rates of failures and repair. The finding so obtained are discussed with the concerned authorities of the library to boost the efficiency of the library.","PeriodicalId":217773,"journal":{"name":"VEETHIKA-An International Interdisciplinary Research Journal","volume":"196 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Measurement and improvement of efficiency of Library by mathematical modelling and finding reliability\",\"authors\":\"Yakshi Bahl, T. Garg\",\"doi\":\"10.48001/veethika.2021.07.02.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Here in this paper we have developed the mathematical model of the library server using Markov birth – death process assuming that library system server system is based on exponential distribution. The model so developed by victimisation Chapman Kolmogorov differential equation and is solved by using Mathematica. The solution so obtained is analysed for various rates of failures and repair. The finding so obtained are discussed with the concerned authorities of the library to boost the efficiency of the library.\",\"PeriodicalId\":217773,\"journal\":{\"name\":\"VEETHIKA-An International Interdisciplinary Research Journal\",\"volume\":\"196 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"VEETHIKA-An International Interdisciplinary Research Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.48001/veethika.2021.07.02.001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"VEETHIKA-An International Interdisciplinary Research Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.48001/veethika.2021.07.02.001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Measurement and improvement of efficiency of Library by mathematical modelling and finding reliability
Here in this paper we have developed the mathematical model of the library server using Markov birth – death process assuming that library system server system is based on exponential distribution. The model so developed by victimisation Chapman Kolmogorov differential equation and is solved by using Mathematica. The solution so obtained is analysed for various rates of failures and repair. The finding so obtained are discussed with the concerned authorities of the library to boost the efficiency of the library.
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