Optimal adaptive estimators for partially observed numbers of defective items in inventory models

In this paper, three discrete time integer-valued inventory models for perishable items are introduced. In these models, each item in the stock is assumed to perish in a given period with some probability. The dynamics of the models are affected by a demand process, a replenishment process, and peri...

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Bibliographic Details
Published in:Mathematical and computer modelling 1999-03, Vol.29 (6), p.83-93
Main Authors: Aggoun, L., Benkherouf, L., Tadj, L.
Format: Article
Language:English
Subjects:
Applied sciences
Exact sciences and technology
Hidden Markov models
Inventory control
Inventory control, production control. Distribution
Markov processes
Mathematics
Measure change techniques
Operational research and scientific management
Operational research. Management science
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
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Summary:In this paper, three discrete time integer-valued inventory models for perishable items are introduced. In these models, each item in the stock is assumed to perish in a given period with some probability. The dynamics of the models are affected by a demand process, a replenishment process, and perishability. However perished items are not observed while in stock, unless sold. Recursive estimates for the probability of the number of the perished items are derived.
ISSN:0895-7177
1872-9479
DOI:10.1016/S0895-7177(99)00056-4