A Survey of POMDP Applications
Anthony Cassandra present the Partially Observable Markov Decision Process and summarizes several applications. This is largely a literature survey. Types of applications:
Machine Maintenance
Structural Inspection
Elevator Control Policies
Fishery Industry
Autonomous Robots
Behavioral Ecology
Machine Vision
Network Troubleshooting
Distributed Database Queries
Marketing
etc
Looking at the references for applications similar to yours could provide useful information about applying POMDPs or HMMs to your situation.
Reference
Anthony Cassandra. A Survey of Partially-Observable Markov Decision Process Applications. Presented at the AAAI Fall Symposium, 1998
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