Geodesic
Stochastic Inventory Models With Reworks
Yugoslav journal of operations research, Tome 28 (2018) no. 4, p. 567 .

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In this paper, two stocks, for fresh and the returned things, are considered for the efficient stock management. Hence, we give two models: the first is for non- perishable and the second for perishable things. In addition, inventories kept in the stock may lose their fairly estimated worth, which we additionally viewed in model-II, for ex- ample, PC and versatile embellishments, or most current engine autos. In model-II, the stock decay (a loss of significant worth) in a steady rate is chosen arbitrarily. Though the models are more fitting where guarantees are accommodated to a settled time length after the deal for new things was made, they can be used to separate characteristics of a stock system for a broad scale production firm. It is expected that the stock level for both new and the returned things are pre-decided. When the stock level scopes at the re-order point $s$, a request for renewal is put with parameter $\gamma$ for new things. The requests for both new and the returned things take after the Poisson process with parameter $\lambda$ $\delta$, respectively. Service will be given according to Poisson process for returned things with parameter $\mu$. The joint probability distribution for both returned and new things are derived in the steady state examination. A few system characteristics of two models are inferred here and the outcomes are outlined, based on some numerical cases.
Classification : 90B05, 90B30
Keywords: Inventory, Guarantee, Reworks, Poisson process, Joint probability distribution 
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     title = {Stochastic {Inventory} {Models} {With} {Reworks}},
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Mohammad Ekramol Islam; M. Sharif Uddin; Mohammad Ataullah. Stochastic Inventory Models With Reworks. Yugoslav journal of operations research, Tome 28 (2018) no. 4, p. 567 . http://geodesic.mathdoc.fr/item/YJOR_2018_28_4_a6/