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A production and inventory control problem is solved by a modified computational dynamic programming procedure. Specifically a two dimensional problem described by differential system equations with an integral objective function is solved by the proposed scheme. The numerical results are...
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This paper introduces recent developments in the analysis of inventory systems with partial observations. The states of these systems are typically conditional distributions, which evolve in infinite dimensional spaces over time. Our analysis involves introducing unnormalized probabilities to...
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We consider a stochastic multi-product inventory model with a ware-housing constraint with the objective of minimizing the expected long-run average cost. Using the vanishing discount approach, a dynamic programming equation and the corresponding verification result are established. The...
Persistent link: https://www.econbiz.de/10012836963
In this paper, the authors present an EOQ model with substitutions between products and a dynamic inventory replenishment policy. The key assumption is that many products in the market are substitutable at different levels, and that, in most cases, a customer who discovers that a desired product...
Persistent link: https://www.econbiz.de/10011915411
mathematically in the literature, the use of our algorithm provides a numerical approximation of the optimal order quantities. These … with its mean and applies the well-known base stock policy. We show numerically that the optimal order quantity is very … close to the base mean-stock order quantity, when the variance of the inventory distribution is small. When the mean of the …
Persistent link: https://www.econbiz.de/10012846527
functions satisfy certain concavity conditions. Furthermore, we show that the optimal price decreases in the order quantity …
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