A shipboard missile system is composed of two warning radars, a launch and guidance system, and four missiles. The radars are arranged so that either can give warning if the other fails, in a standby configuration. Four missiles are available for

1
A shipboard missile system is composed of two
warning radars, a launch and guidance system, and
four missiles. The radars are arranged so that
either can give warning if the other fails, in a
standby configuration. Four missiles are
available for firing and the system is considered
to be successful if at least three out of four
missiles can be fired and guided.
2

• Assuming that
• The launch and guidance system is constantly
  activated,
• All elements are statistically independent
• The equipment failure rates are
• Primary Radar lp 0.001
• Standby Radar lS 0.001
• Launch and guidance lLG 0.0013
• The reliability of each missile is 0.90.
• Evaluate the reliability of the system over 24
  hours