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Generate fault trees, bow-ties, event trees, reliability block diagrams, GSN arguments and Markov models from Power BI data with the Ataytis Assurance visual.

Ataytis Assurance · Markov State Diagram

Markov State Diagram

What the Markov state diagram type draws for Markov chains and state transition models, what it does not calculate, the standards behind it, and its defaults.

What it draws

A Markov State Diagram draws a Markov chain as a state transition diagram: the states a system or process can be in, and the transitions between them, each labelled with its rate or probability. It reads left to right from working order to failure. Loops are expected: a repair takes the system back to a state it has already been in, so a failure out and a repair back between the same two states is the ordinary case.

A Markov state diagram in Ataytis Assurance with circular states numbered inside, descriptions and state probabilities beneath each state, and labelled transitions in both directions.
States drawn under the IEC 61165:2006 profile: an identifier inside each circle, the description and state probability beneath it, and transitions in both directions. The page title and tabs belong to the sample report.

What it calculates

Nothing. The model is not solved. Transition rates and state probabilities are drawn as your data supplies them, and state probabilities are not checked against any range or required to add up to 1. Supply the probabilities your analysis produced.

Standards

The default profile is designed with reference to IEC 61165:2006, Application of Markov techniques. Markov analysis also appears in IEC 31010:2019, IEC 60300-3-1:2003, IEC 61508-6:2010 and SAE ARP4761A:2023. Notation standards lists what each one covers.

Defaults

SettingDefault
Notation profileIEC 61165:2006. Custom is also available.
OrientationLeft to right. Every orientation is available.
Connected node is read asThe state this transition reaches
Required mappingsNode ID
Node type when the cell is blankState
Relationship type when the cell is blankTransition
States drawn asCircle
Connector showsIts label, or the rate if it has none
State probabilityShow on state
Summary stripOff. When turned on, it counts states by Status.

In this section

Preparing Markov dataOne row per transition, the columns, and a complete example.States and transitionsState types, transition types, and the flag columns a register keeps.Reading a Markov diagramLayout, notation profiles, rates and probabilities on the diagram, and the Node Inspector.Markov validationRules, messages and fixes.
Markov State Diagram — Ataytis Assurance | AtaytisTech