Variable demand model for periodically reviewing with allowing refunding parts of the orders | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 29, Issue 1, 2021, Pages 1-13 PDF (1.68 M) | ||
| Document Type: Original Article | ||
| DOI: 10.1186/s42787-021-00129-4 | ||
| Author | ||
| O. M. Hollah* | ||
| Higher Institute of Engineering and Technology, Tanta, Egypt. | ||
| Abstract | ||
| Depending on a feld study for one of the largest iron and paints warehouses in Egypt, this paper presents a new multi-item periodic review inventory model considering the refunding quantity cost. Through this feld study, we found that the inventory level is monitored periodically at equal time intervals. Returning a part of the goods that were previously ordered is permitted. Also, a shortage is permissible to occur despite having orders, and it is a combination of the backorder and lost sales. This model has been applied in both crisp and fuzzy environments since the fuzzy case is more suitable for real-life than crisp. The Lagrange multiplier technique is used for solving the restricted mathematical model. Here, the demand is a random variable that follows the normal distribution with zero lead-time. Finally, the model is followed by a real application to clarify the model and prove its efciency. | ||
| Keywords | ||
| : Inventory system; Fuzzy environment; Periodic review model; Zero leadtime; Multi-item | ||
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