Probabilistic Mixture Shortage Multi-Source Inventory Model with Varying Holding Cost Under Constraint | ||||
| Delta Journal of Science | ||||
| Article 2, Volume 39, Issue 1, June 2018, Page 9-17 PDF (1.63 MB) | ||||
| Document Type: Research and Reference | ||||
| DOI: 10.21608/djs.2018.138901 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Hala A. Fergany; Magda A. Gomaa | ||||
| Mathematics Department, Faculty of Science, Tanta University, Tanta 31527, Egypt. | ||||
| Abstract | ||||
| This paper proposed a general probabilistic continuous review multi-item, multi-source inventory model with constraint for crisp and fuzzy environment. This constraint on the expected varying holding cost. The demand is a continuous random variable, the distribution of the lead time demand is known and the holding cost is varying. This model is formulated to analyze how the firm can deduce the optimal order quantity and the optimal reorder point for the item and source to reach the main goal of minimizing the expected total cost using a Lagrange multiplier technique. The lead time demand is follow some continuous distributions. Also, an application with real data is analyzed and the goal of minimization the expected total cost is achieved. | ||||
| Keywords | ||||
| Probabilistic inventory model; Mixture shortage; Lagrange multiplier approach; Varying holding cost; Trapezoidal fuzzy number and Continuous distributions | ||||
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