Production Operating Systems (PPOS)

Production Operating Systems (PPOS) by Adam Bishop, XOps360 LLC. A formal specification replacing informal production workflows with mathematically verified finite-state automata. PPOS defines a 13-state lifecycle automaton governing every production work order from Pending through Complete, with two special states: OnHold (temporary suspension) and Cancelled (absorbing terminal). The specification proves acyclicity, bounded-time completion, and livelock freedom. Key design decisions include forward-only progression (no backward transitions), cancellation cutoff after personalization (irreversible material commitment), and the atomic decomposition theorem establishing bijective mapping between personalized line items and work orders. Includes NP-hard batch optimization, margin entropy governance, and supervisory control via cyber-physical systems integration. Published as an 8-part blog series on xops360.com. Author ORCID: 0009-0000-4569-3726.