Model Standby Systems

Compare mean time to failure (MTTF) between different kinds of standby systems.

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\[ScriptCapitalD] = ExponentialDistribution[1/2];
Subscript[\[ScriptCapitalD], warm] = ExponentialDistribution[1/10];
Subscript[\[ScriptCapitalD], switch] = ExponentialDistribution[1/20];
Subscript[\[ScriptCapitalD], cp] = 
  StandbyDistribution[\[ScriptCapitalD], {\[ScriptCapitalD], \
\[ScriptCapitalD]}];
Subscript[\[ScriptCapitalD], ci] = 
  StandbyDistribution[\[ScriptCapitalD], {\[ScriptCapitalD], \
\[ScriptCapitalD]}, 0.9];
Subscript[\[ScriptCapitalD], cil] = 
  StandbyDistribution[\[ScriptCapitalD], {\[ScriptCapitalD], \
\[ScriptCapitalD]}, Subscript[\[ScriptCapitalD], switch]];
Subscript[\[ScriptCapitalD], wp] = 
  StandbyDistribution[\[ScriptCapitalD], \
{{Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}, {Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}}];
Subscript[\[ScriptCapitalD], wi] = 
  StandbyDistribution[\[ScriptCapitalD], \
{{Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}, {Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}}, 0.9];
Subscript[\[ScriptCapitalD], wil] = 
  StandbyDistribution[\[ScriptCapitalD], \
{{Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}, {Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}}, Subscript[\[ScriptCapitalD], switch]];
Subscript[\[ScriptCapitalD], wcp] = 
  StandbyDistribution[\[ScriptCapitalD], \
{{Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}, \[ScriptCapitalD]}];
Subscript[\[ScriptCapitalD], wci] = 
  StandbyDistribution[\[ScriptCapitalD], \
{{Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}, \[ScriptCapitalD]}, 0.9];
Subscript[\[ScriptCapitalD], wcil] = 
  StandbyDistribution[\[ScriptCapitalD], \
{{Subscript[\[ScriptCapitalD], 
     warm], \[ScriptCapitalD]}, \[ScriptCapitalD]}, 
   Subscript[\[ScriptCapitalD], switch]];

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