2021
DOI: 10.1051/ro/2021125
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On the shortage control in a continuous review (Q,r) inventory policy usingαLservice-level

Abstract: This paper analyzes the performance of α L  service measure, defined as the probability that stockouts do not occur during a replenishment cycle, to cover different aspects of stock shortages when used to design an optimal continuous review (Q,r) policy. We show that explicitly controlling the frequency of replenishment cycle stockouts, using the α L  service-level, allows to implicitly control the size of the stockouts at an arbitrary time, the size of accumulated backorders at an arbitrary time, and the… Show more

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Cited by 4 publications
(2 citation statements)
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“…In this paper, we assume that shortage events at each DC are controlled using the fill‐rate service level defined by Schneider (1981). Under normally distributed demand, the fill rate is equivalent to the ready‐rate service level defined as the probability (α) of not being out of stock at an arbitrary time or equivalently as the fraction of time with a positive stock‐on‐hand (Silver et al., 1998; Axsäter, 2015; Escalona et al., 2021). Thus, the fill rate under normally distributed demand explicitly controls the backorders size and stockouts frequency, both at an arbitrary time.…”
Section: Problem Description and Formulationmentioning
confidence: 99%
“…In this paper, we assume that shortage events at each DC are controlled using the fill‐rate service level defined by Schneider (1981). Under normally distributed demand, the fill rate is equivalent to the ready‐rate service level defined as the probability (α) of not being out of stock at an arbitrary time or equivalently as the fraction of time with a positive stock‐on‐hand (Silver et al., 1998; Axsäter, 2015; Escalona et al., 2021). Thus, the fill rate under normally distributed demand explicitly controls the backorders size and stockouts frequency, both at an arbitrary time.…”
Section: Problem Description and Formulationmentioning
confidence: 99%
“…11. Shortages are allowed and those are partially back-ordered, as in Barman et al [7], Khalilpourazari et al [19], Escalona et al [13] and Khalilpourazari et al [18]. Backordered demands are to be satisfied at the next cycle.…”
mentioning
confidence: 99%