Abstract
This model illustrates an inventory model to obtain retailer’s optimal replenishment policy for deteriorating items with fixed lifetime, shortages, and time dependent backorder rate. The backorder rate is assumed as a decreasing function of waiting time up to the next replenishment. The aim is to minimize the total relevant cost of the system. The necessary and sufficient conditions are derived analytically. Some lemmas are established for the existence and uniqueness of optimal solution. Finally, some numerical examples, sensitivity analysis, comparison with other models, study of non-considering lifetime of products along with graphical representations are provided to illustrate the proposed model. From the numerical example, this model proves more savings than Wu et al. (Int J Prod Econ 101:369–384, 2006).
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Acknowledgments
The authors like to thank two referees for their encouragement and valuable comments to improve the previous version of this paper. This study was financially supported by 2012 Post-Doctoral Development Program, Pusan National University, Korea.
Conflict of interest
There is no conflict of interest with the research area with all authors. 1st author has received his financial support from Post-Doctoral Development Program, Pusan National University, Korea, 2012. 2nd and 3rd author have not received any fund for this research.
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Sarkar, B., Sarkar, S. & Yun, W.Y. Retailer’s optimal strategy for fixed lifetime products. Int. J. Mach. Learn. & Cyber. 7, 121–133 (2016). https://doi.org/10.1007/s13042-015-0393-y
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DOI: https://doi.org/10.1007/s13042-015-0393-y