Constrained optimal impulse control and inventory model
Abstract
In this article, we consider the deterministic impulsively controlled system with infinite horizon and several discounted objective functionals. The constructed optimal control problem with functional constraints is reformulated as a Markov decision process, leading to (primal) convex and linear programs in the space of so-called occupation measures. We construct the dual programs and investigate the solvability of all the programs. Example of an inventory model illustrates the developed theory.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Optimization and Variational Analysis
Supply Chain and Inventory Management
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 February 2026
- Language
- EN
- Document type
- Preprint