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Relex Markov, Visual State and Network Diagram Analysis

Markov analysis techniques can be applied to a wide variety of engineering applications where system states need to be taken into account. Markov analyses study dependent random events-events whose likelihood depends on what happened last, or where the sequence of occurrence must be considered for analysis. When applied in the reliability field, Markov analyses significantly enhance analysis tools such as reliability block diagrams and fault trees by factoring sequential probabilities into reliability calculations. Relex ® Markov provides you with the powerful capabilities of Markov analysis in an easy-to-use, fully featured package. Relex Markov provides fast, accurate reliability analyses for complex systems with common cause failures, degradation, induced or dependent failures, multi-operational state components, and other sequence-dependent events.

 

Modeling complex systems with ease. Relex Markov analyses make use of state transition diagrams- graphical representations of a system's operational, degraded, and failed states and the transitions between them. Relex Markov provides a complete set of intuitive editing tools to streamline the diagramming process, freeing you to devote more time interpreting the analyses instead of diagram construction.

 

High performance calculation engine. Once your state transition diagram has been completed, the sophisticated Relex Markov calculation engine takes over. The Markov engine supports both transient and steady-state analysis results. Calculations include MTBF (mean time between failures), MTTF (mean time to failure, sometimes referred to as mean time before failure), and MTTR (mean time to repair). Relex Markov computes an extensive array of additional reliability metrics including capacity values, reliability and availability, failure frequency, cost, and frequency of visits of a state.

 

The Relex Architect platform. Relex Markov includes all the advanced features of Relex Architect's robust, proven framework. A rich user interface is coupled with innovative features such as the invaluable Project Navigator for centralised Project control, the Relex Bar for customized one-click operations, the Task List for quick access to commonly used tasks, and data filtering for ultimate user control of data views.

 

Comprehensive reporting capabilities include easy-to-use Report and Graph Wizards for complete user customisation of output reports and graphs. Relex's Import/Export Wizard enables you to transfer your Project data to and from Relex in a variety of popular formats, including Microsoft Excel ® and Access ® . Additionally, Relex Architect modules are built on a common database, for optimal product integration and data sharing capabilities.

 

Built for the enterprise. Relex's Enterprise Edition supports the high performance, scalable needs of large user bases. Features such as support for Microsoft SQL Server ® and Oracle ® databases, permission based security, user and group roles, front end web interfaces, Relex Dashboard for a high-level overview of system metrics, audit trails for tracking data modifications, and customisable data connectors insure that Relex meets the needs of full scale, enterprise-wide teams.

 

The Markov advantage. Markov modeling capabilities allow you to significantly expand your system modeling possibilities. The benefits of the all-purpose Relex Markov modeling tool are power and flexibility. Systems whose complexities are beyond those which can be handled in other more task-specific modeling tools, such as reliability block diagrams (RBD) and fault tree analysis (FTA), can be modeled using Markov techniques. Markov modeling enables you to account for combinations of system complexities such as standby failures, non-standard common cause failures, induced failure and shared load systems, imperfect fault coverage and switch-over mechanisms, repair priorities, limited repair resources, and failure sequence dependent consequences. By offering the ability to compute system metrics for any type of complex scenario, Relex Markov enables you to gain insight into system performance metrics unavailable with any other analysis tool.

 

 

 

FEATURES & BENEFITS

 


State transition diagrams
Powerful Markov engine
Sequence dependent events
Operational, degraded, and failed states
Steady state and transient results
Common cause failures
Induced failures
System degradation
Multi-operational state components
Cost analysis

 

 

Markov Result

Click to Enlarge

 

TECHNICAL HIGHLIGHTS

 

Supported Calculations
Availability
Capacity
Conditional failure intensity
Conditional repair intensity
Cost per unit time
Failure density
Failure frequency
Failure rate
Frequency of departures
Frequency of transitions
Frequency of visits
Mean availability
Mean capacity
Mean cost
Mean state probability
Mean unavailability
MTBF (Mean time between failures)
MTTF/MTTFF (Mean time to first failure)
MTTFSS (Mean time to failure, steady state)
MTTR (Mean time to repair)
Number of departures
Number of failures
Number of repairs
Number of transitions
Number of visits
Reliability
Repair frequency
State probability
Time spent in state
Total capacity
Total cost
Total downtime
Total uptime
Unavailability
Unreliability

States
Operational
Degraded
Failed


Calculation Parameters
Start time
End time
Number of data points
Time point results
Required capacity
Precision
Detection of non-absorbing states


Figure Styles
Graphic
Font style
Size
Colour
Text display fields


Connector Styles
Thickness
Style
Colour
Font style
Description

 

 

 

 

 

 

 

 

 

 

 

Modeling Capabilities
Standby failures
Non-standard common cause failures
Induced failure and shared load systems
Imperfect fault coverage and switch-over mechanisms
Repair priorities
Limited repair resources
Failure sequence dependent consequences


Analysis Outputs
Graphical diagram
Reliability vs. time
Availability vs. time
Frequency of visits per state
Time spent per state
Failures vs. time
Total downtime over time
Total uptime over time


Data Linkages
Fault Tree


Import/Export Formats
Microsoft Excel
Microsoft Access
Text

 

 

 

 

 

 

 

 

Report Formats
Microsoft Word
Microsoft Excel
Adobe PDF
RTF
HTML


Databases Supported
Microsoft SQL Server
Oracle
Microsoft SQL Server Desktop Engine (MSDE)
Microsoft Jet Engine (Access compatible)


Enterprise Modules
Administrator
Audit trail
Dashboard


Available Services
Software module training
Theory training
Professional consulting services
Web-based RETAIN (online training) sessions
Expert technical support
Online customer support centre