Geodesic
Optimal Replenishment Policy for Items With Three-Parameter Weibull Deterioration, Stock-Level Dependent Demand and Partial Backlogging
Yugoslav journal of operations research, Tome 28 (2018) no. 1, p. 107 .

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Our focus in this paper is on determining an optimal replenishment policy for items with three-parameter Weibull distribution deterioration and inventory-level dependent demand. We developed and analyzed the model under the assumption of partial backlogging. The three-parameter Weibull hazard rate captures the impact of already deteriorated items that are received into the inventory, as well as those items that may start deteriorating in future. The inventory-level demand reflects a real market demand for product whose sales is enhanced by stock on display. We study a case base examples to gain some quantitative insight into the proposed model and we perform sensitivity analysis to draw some managerial implications.
Classification : 90B05, 34K06, 91B74
Keywords: Inventory Model, Stock-Dependent Demand, Differential Equation, Optimal Policy, Hazard function 
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     title = {Optimal {Replenishment} {Policy} for {Items} {With} {Three-Parameter} {Weibull} {Deterioration,} {Stock-Level} {Dependent} {Demand} and {Partial} {Backlogging}},
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Smaila S. Sanni; Polycarp E. Chigbu. Optimal Replenishment Policy for Items With Three-Parameter Weibull Deterioration, Stock-Level Dependent Demand and Partial Backlogging. Yugoslav journal of operations research, Tome 28 (2018) no. 1, p. 107 . http://geodesic.mathdoc.fr/item/YJOR_2018_28_1_a6/