A periodic review inventory model with Markovian supply availability

A periodic review inventory model with Markovian supply availability

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Article ID: iaor19961531
Country: Netherlands
Volume: 42
Issue: 2
Start Page Number: 131
End Page Number: 136
Publication Date: Dec 1995
Journal: International Journal of Production Economics
Authors: , ,
Abstract:

Occasional unavailabilty of materials and products has an impact on inventory decisions of utility companies, manufacturers, wholesalers and retailers. The possibility of periods of supply unavailability that start and end at random times has been recognized by inventory researchers, and incorporated into continuous-review models. The goal of this work is to address a periodic-review setting, with setup costs, where the probability that an order placed now is filled in full, as opposed to not at all, depends on whether supply was available in the previous period. The authors prove that the optimal inventory policy is of an (s,S) type, where s depends on the state of the supplier in the last period, while S does not. Some other issues are briefly discussed.

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