2008
DOI: 10.1080/07408170701598108
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Periodic-review inventory systems with random yield and demand: Bounds and heuristics

Abstract: We revisit the infinite-horizon decision problem of a single-stage single-item periodic-review inventory system under uncertain yield and demand. It is known that under some mild conditions the optimal replenishment policy is of the threshold type: an order is placed if and only if the starting inventory is below a threshold value. Although the structure of the optimal policy is well known, there has been little discussion about the optimal order quantities and the order threshold. In this paper, we construct … Show more

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Cited by 27 publications
(12 citation statements)
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“…In the inventory literature, a well‐known phenomenon is called horizon effect : more inventory should be stocked if the remaining planning horizon is longer. This is because a longer horizon allows one more time to collect proceeds and as such, more inventory is needed (DeGroot, 2004; Heyman & Sobel, 1984; Li, Xu, & Zheng, 2008). In our setting, this result no longer holds because the horizon effect and the stockpiling effect may drive the inventory level toward opposite directions.…”
Section: Structure Of the Optimal Policymentioning
confidence: 99%
“…In the inventory literature, a well‐known phenomenon is called horizon effect : more inventory should be stocked if the remaining planning horizon is longer. This is because a longer horizon allows one more time to collect proceeds and as such, more inventory is needed (DeGroot, 2004; Heyman & Sobel, 1984; Li, Xu, & Zheng, 2008). In our setting, this result no longer holds because the horizon effect and the stockpiling effect may drive the inventory level toward opposite directions.…”
Section: Structure Of the Optimal Policymentioning
confidence: 99%
“…Yield uncertainty has drawn extensive attention in inventory management research in the past several decades. There are three types of random yield that have been considered in the literature: binomial yield [11], stochastically proportional yield [7,1,4,10,13,8,11] and interrupted geometric yield [11]. Binomial yield is used when failures of different units in a batch are uncorrelated and occur with the same probability.…”
Section: Literature Reviewmentioning
confidence: 99%
“…They therefore propose several myopic heuristics. [13] finds upper and lower bounds for the optimal reorder point and order quantity in an infinite-horizon model and gives valuable insights into the structure of the optimal policies.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Li et al [15] discuss on infinite horizon decision problem in a single-stage, single-item, periodic review system. Production yield and demand are uncertain in the system.…”
Section: Studies On Production Yieldmentioning
confidence: 99%