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.

Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.
Mots-clés : Inventory Model, Stock-Dependent Demand, Differential Equation, Optimal Policy, Hazard function 
@article{YJOR_2018_28_1_a6,
     author = {Smaila S. Sanni and Polycarp E. Chigbu},
     title = {Optimal {Replenishment} {Policy} for {Items} {With} {Three-Parameter} {Weibull} {Deterioration,} {Stock-Level} {Dependent} {Demand} and {Partial} {Backlogging}},
     journal = {Yugoslav journal of operations research},
     pages = {107 - 121},
     publisher = {mathdoc},
     volume = {28},
     number = {1},
     year = {2018},
     url = {https://geodesic-test.mathdoc.fr/item/YJOR_2018_28_1_a6/}
}
TY  - JOUR
AU  - Smaila S. Sanni
AU  - Polycarp E. Chigbu
TI  - Optimal Replenishment Policy for Items With Three-Parameter Weibull Deterioration, Stock-Level Dependent Demand and Partial Backlogging
JO  - Yugoslav journal of operations research
PY  - 2018
SP  - 107 
EP  -  121
VL  - 28
IS  - 1
PB  - mathdoc
UR  - https://geodesic-test.mathdoc.fr/item/YJOR_2018_28_1_a6/
ID  - YJOR_2018_28_1_a6
ER  - 
%0 Journal Article
%A Smaila S. Sanni
%A Polycarp E. Chigbu
%T Optimal Replenishment Policy for Items With Three-Parameter Weibull Deterioration, Stock-Level Dependent Demand and Partial Backlogging
%J Yugoslav journal of operations research
%D 2018
%P 107 - 121
%V 28
%N 1
%I mathdoc
%U https://geodesic-test.mathdoc.fr/item/YJOR_2018_28_1_a6/
%F YJOR_2018_28_1_a6
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. https://geodesic-test.mathdoc.fr/item/YJOR_2018_28_1_a6/