1 citations · 1 across the 5 of their papers we have counts for
6 papers
Long-Term Average Impulse Control with Mean Field Interactions
K. L. Helmes, R. H. Stockbridge, C. Zhu
This paper analyzes and explicitly solves a class of long-term average impulse control problems with a specific mean-field interaction. The underlying process is a general one-dime…
Single-Item Continuous-Review Inventory Models with Random Supplies
K. L. Helmes, R. H. Stockbridge, C. Zhu
This paper analyzes single-item continuous-review inventory models with random supplies in which the inventory dynamic between orders is described by a diffusion process, and a lon…
On the Modelling of Impulse Control with Random Effects for Continuous Markov Processes
K. L. Helmes, R. H. Stockbridge, C. Zhu
The use of coordinate processes for the modelling of impulse control for general Markov processes typically involves the construction of a probability measure on a countable produc…
A Counterintuitive Example in Inventory Management
Kurt L. Helmes, Richard H. Stockbridge, Chao Zhu
The paper \cite{helm:17} studies an inventory management problem under a long-term average cost criterion using weak convergence methods applied to average expected occupation and…
A Weak Convergence Approach to Inventory Control Using a Long-term Average Criterion
Kurt L. Helmes, Richard H. Stockbridge, Chao Zhu
This paper continues the examination of inventory control in which the inventory is modelled by a diffusion process and a long-term average cost criterion is used to make decisions…
Continuous Inventory Models of Diffusion Type: Long-term Average Cost Criterion
K. L. Helmes, R. H. Stockbridge, C. Zhu
This paper establishes conditions for optimality of an ordering policy for the minimization of the long-term average cost of one-dimensional diffusion inventory models. The…