3 papers
math.OC2026
Robust Patrol in a Dispersed Environment
Edward Mellor, Kevin Glazebrook, Kyle Lin +1
We consider a patrol problem in which a patroller moves among several geographically dispersed locations to detect attackers that arrive over time. Once the patroller arrives at a…
math.OC2026
Dynamic Repair and Maintenance of Heterogeneous Machines Dispersed on a Network: A Rollout Method for Online Reinforcement Learning
Dongnuan Tian, Rob Shone
We consider a problem in which a single repairer is responsible for the maintenance and repair of a collection of machines, positioned at different locations on a network of nodes…
math.OC2025
A Bi-Objective Markov Decision Process Design approach to redundancy allocation with dynamic maintenance for a parallel system
Luke Fairley, Rob Shone, Peter Jacko +1
The reliability of a system can be improved by the addition of redundant elements, giving rise to the well-known redundancy allocation problem (RAP). We propose a novel extension t…