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 engine power. Other Relex modules invoke the powerful Markov engine as needed to compute results. For example, the Relex Markov solver is called upon to compute the metrics of dynamic fault trees built using Relex Fault Tree. When analyzing dynamic gates, Relex Fault Tree constructs equivalent Markov models and then invokes Relex Markov’s efficient engine to generate results.

Ultimate modeling. Coupling a flexible diagramming tool with a powerful calculation engine, Relex Markov allows you to model complex, real-world systems with ease. System states and transitions are easily diagrammed, and parameters can be assigned with simple point and click operations.

Read these White Papers to learn more about effective Markov techniques.

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 centralized 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 customization 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 customizable 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.

	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 Color Text display fields Connector Styles Thickness Style Color 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 Express Microsoft Jet Engine (Access compatible) Enterprise Modules Administrator Audit trail Available Services Software module training: instructor-led and online e-learning courses Theory training: instructor-led and online e-learning courses Professional consulting services Web-based RETAIN sessions Expert technical support Online customer support center