Lakdere Benkherouf, Amin Boumenir, Lakhdar Aggoun, "A stochastic inventory model with stock dependent demand items", International Journal of Stochastic Analysis, vol. 14, Article ID 658586, 12 pages, 2001. https://doi.org/10.1155/S1048953301000284
A stochastic inventory model with stock dependent demand items
In this paper, we propose a new continuous time stochastic inventory model for stock dependent demand items. We then formulate the problem of finding the optimal replenishment schedule that minimizes the total expected discounted costs over an infinite horizon as a Quasi-Variational Inequality (QVI) problem. The QVI is shown to have a unique solution under some conditions.
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