Examples

### Reliability and Availability Modeling:

Example 1: A reliability block diagram

Example 2: Another reliability block diagram

Example 3: A relcomp-type system

Example 4: A fault tree for a series system

Example 5: A fault tree for an aircraft control system

Example 7: A reliability graph and equivalent non-series-parallel block diagram

Example 8: An acyclic Markov reliability model

Example 9: A non-acyclic Markov chain with an absorbing state

Example 10: Markov models for the three repair strtegies

Example 11: A system with Weibull failure distribution

### Ring Network:

Example 12: Fault tree model for ring network

Example 13: Markov model for ring network

Example 14: GSPN model of ring network

### Performance Modeling:

Example 15: A task graph model of a program with concurrency

Example 16: Precedence graph for the CPU-I/O overlap example

Example 17: Precedence graph for more detailed CPU-I/O overlap example

Example 18: An example parallel program

Example 19: A graph model for a program whose segments can fail

Example 20: Kung's example: a graph model for interprocess communication

Example 21: A central server queuing system

Example 22: A multi-chain queuing network

Example 23: A birth-death type Markov chain for the M/M/5/100 system

Example 24: Markov model for queue with server failure and repair

Example 25: GSPN model for queue with server failure and repair

Example 26: Markov model for a single server queue

Example 27: Markov model of an ISDN channel

Example 28: ISDN channel with Poisson and MMPP arrival processes

Example 29: Discrete time Markov model for shared memory multiprocessor example

Example 30: Markov model for system with hypo-exponential service times

Example 31: A semi-Markov chain

### Hierarchical Models:

Example 32: Reliability graph inside a reliability graph

Example 33: Reliability graph inside a block diagram

Example 34: Markov model (of a bridge system) inside a block diagram

Example 35: A non-series-parallel graph and an exact model decomposition

Example 36: A task graph with a cycle and its exact decomposition

Example 37: A queuing model with resource constraints

Example 38: Queuing network with simultaneousresource constraints

Example 39: A queuing model with job priorities

Example 40: Two-level model for task graph

Example 41: Markov chains for decomposition of a queue with failure and repair

Example 42: Markov chains withinh fault tree: repair per subsystem

Example 43: Fault/error-handling model

### Performability Models:

Example 44: A Markov model reward

Example 45: An irreducible Markov model reward

Example 46: A hierarchical Markov reward model

Example 47: A multiprocessor performability model