A comprehensive extension of optimal ordering policy for stock-dependent demand under progressive payment scheme
In a recent paper, Soni and Shah (2008) presented an inventory model with a stock-dependent demand under progressive payment scheme, assuming zero ending-inventory and adopting a cost-minimization objective. However, with a stock-dependent demand a non-zero ending stock may increase profits resulting from the increased demand. This work is motivated by Soni and Shah's (2008) paper extending their model to allow for: (1) a non-zero ending-inventory, (2) a profit-maximization objective, (3) a limited inventory capacity and (4) deteriorating items with a constant deterioration rate. For the resulted model sufficient conditions for the existence and uniqueness of the optimal solution are provided. Finally, several economic interpretations of the theoretical results are also given.
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- Soni, Hardik & Shah, Nita H., 2008. "Optimal ordering policy for stock-dependent demand under progressive payment scheme," European Journal of Operational Research, Elsevier, vol. 184(1), pages 91-100, January.
- Chang, Chun-Tao & Teng, Jinn-Tsair & Goyal, Suresh Kumar, 2010. "Optimal replenishment policies for non-instantaneous deteriorating items with stock-dependent demand," International Journal of Production Economics, Elsevier, vol. 123(1), pages 62-68, January.
- Yang, Hui-Ling & Teng, Jinn-Tsair & Chern, Maw-Sheng, 2010. "An inventory model under inflation for deteriorating items with stock-dependent consumption rate and partial backlogging shortages," International Journal of Production Economics, Elsevier, vol. 123(1), pages 8-19, January.
- Goyal, Suresh Kumar & Teng, Jinn-Tsair & Chang, Chun-Tao, 2007. "Optimal ordering policies when the supplier provides a progressive interest scheme," European Journal of Operational Research, Elsevier, vol. 179(2), pages 404-413, June.
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