## Abstract We discuss a time dependent optimal ordering policy for a finite horizon inventory system for which the provision of service is essential and thus no stockout is allowed. It is assumed that the system can place an order at any point in time during the horizon when it cannot meet the cus
Periodic-review inventory models with inventory-level-dependent demand
β Scribed by Yigal Gerchak; Yunzeng Wang
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 770 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0894-069X
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β¦ Synopsis
Demand for some items can depend on the inventory level on display, a phenomenon often exploited by marketing researchers and practitioners. The implications of this phenomenon have received scant attention in the context of periodic-review inventory control models. We develop an approach to model periodic-review production/inventory problems where the demand in any period depends randomly, in a very general form, on the starting inventory level. We first obtain a complete analytical solution for a singleperiod model. We then investigate two multiperiod models, one with lost sales and the other with backlogging, whose optimal policies turn out to be myopic. Some extensions are also discussed.
π SIMILAR VOLUMES
Consider a single-item, periodic review, infinite-horizon, undiscounted, inventory model with stochastic demands, proportional holding and shortage costs, and full backlogging. Orders can arrive in every period, and the cost of receiving them is negligible (as in a JIT setting). Every T periods, one
## Abstract Using Markov renewal theory, we derive analytic expressions for the expected average cost associated with __(s, S)__ policies for a continuous review inventory model with a compound Poisson demand process and stochastic lead time, under the (restrictive) assumption that only one order c
## Abstract This paper introduces a new replenishment policy for inventory control in a twoβlevel distribution system consisting of one central warehouse and an arbitrary number of nonidentical retailers. The new policy is designed to control the replenishment process at the central warehouse, usin