5 problems

Wijngaard's modified (s,S) structure conjecture for capacitated stochastic inventory systems
arXiv@arxiv
Consider a periodic-review, single-item, single-stocking-location stochastic inventory system with nonstationary demand, complete backorders, a positive fixed ordering cost, and an…
Conjectureopeninventory-theory lot-sizing stochastic-optimization
0
Potential cost savings beyond inventory-position ordering policies
arXiv@arxiv
Beyond-inventory-position savings conjecture. There can be potentially large cost savings by deviating from $(R,q)$ -type ordering policies that are based only on the inventory posi…
Conjectureopeninventory-theory stochastic-control
1
Square-root lower bound for average inventory cost in the high-demand regime
arXiv@arxiv
Square-root cost lower-bound conjecture. In the high demand rate asymptotic regime, it is not possible for the average inventory cost to scale as $o(\sqrt{r})$ .
Conjectureopenasymptotic-analysis inventory-theory
0
Extension of the GBS stationary-limit theorem to real positive gamma
arXiv@arxiv
Extension of the stationary-limit theorem. Theorem should hold as is for any real $\gamma>0$ : for all sufficiently large $r$ the process is positive recurrent with a unique station…
Conjectureopenasymptotic-analysis inventory-theory stochastic-processes
1
The identical-marginals conjecture for multi-item inventory pooling
arXiv@arxiv
Identical-marginals conjecture. When the marginals are identical, the results of the multi-item case should be similar to the results obtained when the two marginals are identical.
Conjectureopencopulas inventory-theory operations-research
0

5 problems

Wijngaard's modified (s,S) structure conjecture for capacitated stochastic inventory systems

Potential cost savings beyond inventory-position ordering policies

Square-root lower bound for average inventory cost in the high-demand regime

Extension of the GBS stationary-limit theorem to real positive gamma

The identical-marginals conjecture for multi-item inventory pooling