TY  - JOUR
T1  - Probabilistic Periodic Review (Q<SUB>m</SUB>, N) Backorders and Lost Sales Inventory Models under Constraint and Varying Holding Cost and Normally Distributed Protection Interval Demand
AU - Aly Fergany, Hala AU - Hassan El-Sodany, Naglaa 
JO  - Journal of Modern Mathematics and Statistics
VL  - 5
IS  - 3
SP  - 71
EP  - 79
PY  - 2011
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2011.71.79
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2011.71.79
KW  - Probabilistic periodic review inventory system
KW  -varying holding cost
KW  -review cost
KW  -protection interval demand
KW  -Backorders inventory model
KW  -Egypt
KW  -Lost sales inventory model
KW  -Lagrangian multiplier technique
AB  - This study derives the probabilistic periodic review Backorders and Lost sales inventory models when the holding cost is a function of the inventory cycle. The expected total cost is composed of four components; the expected purchase cost, the expected ordering cost, the expected reviewing cost, the expected holding cost and the expected shortage cost. The objective is to minimize the expected annual total cost under a restriction on the expected annual reviewing cost when the protection interval demand follows the normal distribution. The Lagrangian multipliers are used to solve this constrained model in a closed form. Finally, some special cases are deduced and an illustrative numerical example is added with some graphs.
ER  -