TY - JOUR
AU - H. A. Ferganya
AU - Osama Hollah
PY - 2018/11/12
Y2 - 2019/04/24
TI - Probabilistic Inventory Model Multi-Source Backlogged Probabilistic Inventory Model for Crisp and Fuzzy Environment
JF - JOURNAL OF ADVANCES IN MATHEMATICS
JA - JAM
VL - 15
IS - 0
SE - Articles
DO - 10.24297/jam.v15i0.7364
UR - https://cirworld.com/index.php/jam/article/view/7364
AB - This paper proposed a multi-item multi-source probabilistic periodic review inventory model under a varying holding cost constraint with zero lead time when: (1) the stock level decreases at a uniform rate over the cycle. (2) some costs are varying. (3) the demand is a random variable that follows some continuous distributions as (two-parameter exponential, Kumerswamy, Gamma, Beta, Rayleigh, Erlang distributions).The objective function under a constraint is imposed here in crisp and fuzzy environment. The objective is to find the optimal maximum inventory level for a given review time that minimize the expected annual total cost. Furthermore, a comparison between given distributions is made to find the optimal distribution that achieves the model under considerations. Finally, a numerical example is applied.
ER -