Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/317736 
Year of Publication: 
2023
Citation: 
[Journal:] Annals of Operations Research [ISSN:] 1572-9338 [Volume:] 332 [Issue:] 1 [Publisher:] Springer US [Place:] New York [Year:] 2023 [Pages:] 1069-1105
Publisher: 
Springer US, New York
Abstract: 
Abstract This paper is devoted to the theory of perishable inventory systems. In such systems items arrive and stay ‘on the shelf’ until they are either taken by a demand or become outdated. Our aim is to survey, extend and enrich the probabilistic analysis of a large class of such systems. A unifying principle is to consider the so-called virtual outdating process V, where V ( t ) is the time that would pass from t until the next outdating if no new demands arrived after t . The steady-state density of Vis determined for a wide range of perishable inventory systems. Key performance measures like the rate of outdatings, the rate of unsatisfied demands and the distribution of the number of items on the shelf are subsequently expressed in that density. Some of the main ingredients of our analysis are level crossing theory and the observation that the Vprocess can be interpreted as the workload process of a specific single server queueing system.
Subjects: 
Perishable inventories
Level crossings methodology
Satisfied demand conservation law
Laplace Transform
Steady state analysis
Busy period
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by Logo
Document Type: 
Article
Document Version: 
Published Version
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