10.5 Event Transition Method
This section describes a recently emerged approach for evaluating performance and reliability characteristics of heterogeneous standby systems. The method is based on presenting the mission execution as a trajectory of parameters of random events in a state‐space. It can be applied to standby systems with heterogeneous structure, random replacement time, single and multiple mission phases, and different rules of standby‐operation mode transitions. The method allows building recursive numerical algorithms.
10.5.1 State‐Space Representation of System Behavior
The state‐space describing the mission behavior should be defined as a space of parameters that completely describe events that may happen during a mission as well as transitions among the events.
For example, for a cold standby system with random replacement time that has to operate for a certain time, the only parameter needed to define the state space is the operation time...