73 citations · 77 across the 9 of their papers we have counts for
11 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…
Dynamic Pricing with Variable Order Sizes for a Model with Constant Demand Elasticity
Nyles Breecher, Richard Stockbridge
In this paper we investigate a dynamic pricing model for constant demand elasticity where customers have a probability distribution on the number of items they order. This is a gen…
Convergence of Finite Element Methods for Singular Stochastic Control
Martin G. Vieten, Richard H. Stockbridge
A numerical method is proposed for a class of stochastic control problems including singular behavior. This method solves an infinite-dimensional linear program equivalent to the s…
Linear Programming Formulations of Singular Stochastic Control Problems: Time-Homogeneous Problems
Thomas G. Kurtz, Richard H. Stockbridge
Conditions are established under which the optimal control of processes having both absolutely continuous and singular (with respect to time) controls are equivalent to linear prog…
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…
On Optimal Harvesting in Stochastic Environments: Optimal Policies in a Relaxed Model
Richard H. Stockbridge, Chao Zhu
This paper examines the objective of optimally harvesting a single species in a stochastic environment. This problem has previously been analyzed in Alvarez (2000) using dynamic pr…
On Optimal Harvesting Problems in Random Environments
Qingshuo Song, Richard Stockbridge, Chao Zhu
This paper investigates the optimal harvesting strategy for a single species living in random environments whose growth is given by a regime-switching diffusion. Harvesting acts as…