{"title":"A finite source perishable inventory system with second optional service and server interruptions","authors":"V. Yadavalli, K. Jeganathan","doi":"10.5784/32-1-528","DOIUrl":null,"url":null,"abstract":"In this article, a service facility inventory system with server interruptions and a nite number of sources are considered. The inventory is replenished according to ( s; S ) ordering policy. Using the matrix methods, the stationary distribution of the stock level, server status and waiting area level is obtained in the steady state case. The Laplace-Stieltjes transform of the waiting time of the tagged customer is derived. Many impartment system performance measures are derived and the total expected cost rate is computed under a suitable cost structure. The results are illustrated numerically. Keywords: Essential and optional service, inventory with service time, service interruption, repair, nite source","PeriodicalId":30587,"journal":{"name":"ORiON","volume":"73 1","pages":"23-53"},"PeriodicalIF":0.0000,"publicationDate":"2016-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ORiON","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5784/32-1-528","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
In this article, a service facility inventory system with server interruptions and a nite number of sources are considered. The inventory is replenished according to ( s; S ) ordering policy. Using the matrix methods, the stationary distribution of the stock level, server status and waiting area level is obtained in the steady state case. The Laplace-Stieltjes transform of the waiting time of the tagged customer is derived. Many impartment system performance measures are derived and the total expected cost rate is computed under a suitable cost structure. The results are illustrated numerically. Keywords: Essential and optional service, inventory with service time, service interruption, repair, nite source
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