In this article, manufacturer-retailer supply chain coordination (SCC) has been developed under periodic review inventory system. In the studied model, the retailer as downstream member uses periodic review inventory policy and decides about review period (T) and order-up-to-level (R). Also, the manufacturer as upstream member faces EPQ system and determines the number of shipments from manufac...

We consider a periodic review inventory system and present its optimal policy in the infinite horizon setting. The optimal inventory policy that maximizes the infinite horizon expected discounted profit for the model is analytically obtained by relating to the finite horizon setting using results from variational analysis. Results are provided that elucidate the operations of the inventory syst...

We consider a single-stage inventory system supplying external demands and receiving stocks from an ample supply. Time is divided into periods of …xed length; a period can be a day or a week depending on the situation. In each period, demands arrive and are either …lled or backlogged. The system operates under a general periodic-review base-stock policy. Under this policy, the inventory positio...

This paper studies a two-echelon supply chain with stochastic and discrete consumer demand, batch order quantities, periodic inventory review, and deterministic transportation times. Reorder point policies manage inventories at every location. Average inventory, backorders and fill rates are evaluated exactly for each location. Safety stock is evaluated exactly at the lower echelon and a good a...

In most stochastic inventory models, such as continuous review models and periodic review models, it has been assumed that the stockout period during a cycle is small enough to be neglected so that the average number of cycles per year can be approximated as D/Q, where D is the average annual demand and Q is the order quantity. This assumption makes the problem more tactable, but it should not ...

In most stochastic inventory models, such as continuous review models and periodic review models, it has been assumed that the stockout period during a cycle is small enough to be neglected so that the average number of cycles per year can be approximated as D/Q, where D is the average annual demand and Q is the order quantity. This assumption makes the problem more tactable, but it should not ...

Store X is a store that sells muslim fashion products. There phenomenon often occurs in one of X's branches, such as the shortage jetblack hijab products stock. This results company's loss opportunity to gain profit and has an impact on high inventory costs. Based this, it known X’s branches does not yet have good system, so necessary apply optimal methods minimize study uses quantitative appro...

We consider a system in which an order is placed every T periods to bring the inventory position up to the base stock S. We accept demand until the inventory position reaches a sales rejection threshold M. Our objective is to find the optimal values of S and M which minimize the long-run average cost per period. We establish the stationary distribution of our system and develop structural prope...