Periodic review lost-sales inventory models with compound Poisson demand and constant lead times of any length

Marco Bijvank and Søren Glud Johansen

European Journal of Operational Research, 2012, vol. 220, issue 1, 106-114

Abstract: In almost all literature on inventory models with lost sales and periodic reviews the lead time is assumed to be either an integer multiple of or less than the review period. In a lot of practical settings such restrictions are not satisfied. We develop new models allowing constant lead times of any length when demand is compound Poisson. Besides an optimal policy, we consider pure and restricted base-stock policies under new lead time and cost circumstances. Based on our numerical results we conclude that the latter policy, which imposes a restriction on the maximum order size, performs almost as well as the optimal policy. We also propose an approximation procedure to determine the base-stock levels for both policies with closed-form expressions.

Keywords: Inventory; Lost sales; Periodic review; Base stock; Heuristics (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:220:y:2012:i:1:p:106-114

DOI: 10.1016/j.ejor.2012.01.041

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