# Questions tagged [inventory]

For questions about mathematical models and algorithms for optimizing inventories.

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### Is a base-stock policy optimal for a serial inventory system with upstream stockout costs?

In a serial inventory system without fixed costs, an echelon base-stock policy is known to be optimal if there is no stockout cost at any stage except the last stage. (This was proved for finite-...
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### Can demand be modeled by a limited amount of probability distributions?

In stochastic inventory control, it is very important to model the demand appropriate to set e.g. order levels. Demand can be fit to a certain probability distribution via many means (e.g. a goodness ...
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### Modelling a simple ordering problem to have balanced delivery days

Assuming that I should buy 50 items from 25 different vendors with pre-known delivery duration between 2-7 day for each, which day of a week should I place each order so that the delivery days be even ...
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### If $F$ is MHR (log-concave), can the monopoly reserve price exceed the mean?

Let $V\sim F$ be some positive valued random variable such that $F$ has a monotone hazard rate (alternatively $F$ is log-concave). Let $p = \operatorname{argmax}q(1-F(q))$. We call $p$ the monopoly ...
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### Lead time higher than cycle time in static EOQ model

All the examples I saw so far were for the case when lead time is smaller than the cycle period. What should the reorder point be if lead time is higher than the cycle time? Should I just simply order ...
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### Concepts for managing inventory and orders with specific fulfillment date

I'm modeling a fairly basic order and inventory management system but with a use case that doesn't seem very common (or at least hard to look up online and in books about operations): the order ...