| INVENTORY ANALYSIS OF AN UNRELIABLEPRODUCTION-INVENTORY SYSTEM |
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| 作者姓名： | LIU Bin CAO Jinhua |
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| 作者单位： | Institute Of Applied Mathematics，Acadetnia Silica，Beijing 100080，China |
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| 摘 要： | 1.IntroductionDuringrecentyears,variousmodelsrelatedtounreliableproduction-inventorysystemshaveappearedintheliterature(seeII--5]).PosnerandBerg4]studiedabasicmodelwhichinvolvesonemaChinewithconstalltproductionratewhichoperatesaslongastheaccumulatedinventoryisbelowapresetthreshold,andisidleotherwise.Byemployinglevel-crossingtechniques,theyderivedanexplicitclosedformsolutionforthesteady-statedistributionoftheinventorylevel.FUlthermore,Berg,PosnerandZhaoll]studiedsomeextensionsoftheabovebasi…
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INVENTORY ANALYSIS OF AN UNRELIABLE PRODUCTION-INVENTORY SYSTEM |
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| LIU Bin CAO Jinhua.INVENTORY ANALYSIS OF AN UNRELIABLEPRODUCTION-INVENTORY SYSTEM[J].Journal of Systems Science and Complexity,1998(4). |
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| Authors: | LIU Bin CAO Jinhua |
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| Abstract: | This paper deals with a production-inventory system in which there are amachine consisting of multiple unreliable units and a storage facility of fixed capacity. Theproduct produced is stored in the storage facility. The demand process for product is acompound Poisson process. We assume that the demand-size distributions are arbitrary,and the unsatisfied demand is backlogged rather than lost. Our main results are to provean existence theorem on stationary distribution of the slack capacity and to derive anexpression of its stationary distribution function. |
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| Keywords: | Production inventory unreliable machine |
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