Backup Power for Nuclear Power Plants

In[1]:=

bexprEDG = (e110 && ((e107 && (e103 || e104 || e99 || e89 || e98 || 
           e91 || e101 || e105 || e4 || e111 || 
           e95)) || (e5 && (e103 || e104 || e99 || e89 || e98 || e91 ||
            e101 || e105 || e93) && (e100 || e90 || e97 || e102 || 
           e92 || e108 || e107)) || ((e7 || e12 || e9) && (e103 || 
           e104 || e99 || e89 || e98 || e91 || e101 || e105 || 
           e4 || ((e111 || e95) && 
             e121))))) || (e109 && ((e104 && (e106 || e107 || e100 || 
           e90 || e97 || e102 || e92 || e108 || e4 || e111 || 
           e96)) || ((e106 || e107 || e100 || e90 || e97 || e102 || 
           e92 || e108 || e94) && 
         e5 && (e99 || e89 || e98 || e91 || e101 || e105 || 
           e104)) || ((e6 || e11 || e8) && (e106 || e107 || e100 || 
           e90 || e97 || e102 || e92 || e108 || 
           e4 || ((e111 || e96) && e121))))) || ((e5 || e88) && (e85 ||
        e87 || e84 || e81 || e80 || e83)) || e82 || e86 || e16 || 
   e29 || e14 || e66 || e18 || 
   e26 || ((e120 || e113 || e112 || e116 || e118 || e115 || e114 || 
       e117 || e4) && e5) || e119 || e27 || e10 || e25 || e17 || e73 ||
    e78 || e74 || e79 || e76 || e72 || 
   e77 || ((e56 || e55 || e53 || e19) && (e58 || e57 || e54 || e20)) ||
    e70 || e71 || e28 || e15 || e64 || e65 || e67 || e46 || e45 || 
   e36 || e22 || e47 || e49 || e48 || e37 || e23 || e50 || e42 || 
   e40 || e41 || e43 || e21 || e61 || 
   e33 || ((e59 || e32) && (e63 || e35)) || e38 || e69 || e68 || e39 ||
    e13 || e62 || e34 || e31 || e24 || e60 || e30 || e51 || e75 || 
   e52;

In[2]:=

distsEDG = 
  Map[{#[[1]], ExponentialDistribution[#[[2]]]} &, {{e99, 2/
     10^4}, {e89, 3.38`/10^4}, {e98, 2/10^4}, {e91, 3.38`/
     10^4}, {e101, 4/10^3}, {e105, 2.4`/10^3}, {e103, 1.1`/
     10^2}, {e104, 3.2`/10^5}, {e111, 2/10^4}, {e95, 1.35`/
     10^4}, {e100, 2/10^4}, {e90, 3.38`/10^4}, {e97, 2/10^4}, {e102, 
     4/10^3}, {e92, 3.38`/10^4}, {e108, 2.4`/10^3}, {e106, 9/
     10^4}, {e107, 3.2`/10^5}, {e16, 1.52`/10^6}, {e29, 2/10^7}, {e26,
      2/10^7}, {e14, 1.52`/10^6}, {e66, 1.2`/10^6}, {e18, 1.52`/
     10^6}, {e72, 1.52`/10^6}, {e77, 2/10^7}, {e74, 1.52`/10^6}, {e79,
      5/10^4}, {e1, 7/10^6}, {e2, 1.52`/10^6}, {e3, 1.52`/10^6}, {e76,
      2/10^7}, {e4, 2/10^7}, {e93, 1.35`/10^4}, {e5, 1}, {e96, 1.35`/
     10^4}, {e94, 1.35`/10^4}, {e109, 1}, {e85, 2/10^3}, {e87, 4.84`/
     10^4}, {e84, 2/10^4}, {e81, 2/10^3}, {e80, 3.38`/10^4}, {e83, 
     4.84`/10^4}, {e88, 1}, {e82, 7.89`/10^6}, {e86, 7.89`/
     10^6}, {e121, 1}, {e7, 8.48`/10^8}, {e12, 3.2`/10^5}, {e9, 1.4`/
     10^7}, {e120, 2.4`/10^3}, {e113, 2/10^4}, {e112, 2/10^4}, {e116, 
     4/10^3}, {e118, 2.4`/10^3}, {e115, 2/10^4}, {e114, 2/
     10^4}, {e117, 4/10^3}, {e110, 1}, {e6, 8.48`/10^8}, {e8, 1.4`/
     10^7}, {e11, 8.48`/10^8}, {e10, 3.2`/10^5}, {e27, 2/10^7}, {e119,
      3.2`/10^5}, {e28, 2/10^7}, {e15, 1.52`/10^6}, {e58, 2/
     10^3}, {e57, 2.5`/10^5}, {e54, 1/10^5}, {e20, 3.38`/10^4}, {e56, 
     2/10^3}, {e55, 2.5`/10^5}, {e53, 1/10^5}, {e19, 3.38`/
     10^4}, {e46, 4.84`/10^4}, {e45, 7.89`/10^6}, {e36, 1.35`/
     10^4}, {e22, 3.38`/10^4}, {e64, 1/10^7}, {e65, 1/10^7}, {e70, 
     2.5`/10^5}, {e71, 2/10^3}, {e39, 1.64`/10^2}, {e13, 2/
     10^3}, {e62, 1/10^4}, {e34, 1.35`/10^4}, {e31, 1.35`/10^4}, {e24,
      3.38`/10^4}, {e60, 1/10^4}, {e50, 5.66`/10^4}, {e49, 4.84`/
     10^4}, {e48, 7.89`/10^6}, {e37, 1.35`/10^4}, {e23, 3.38`/
     10^4}, {e42, 4/10^3}, {e40, 4/10^3}, {e41, 4/10^3}, {e43, 4/
     10^3}, {e67, 2/10^4}, {e47, 5.66`/10^4}, {e69, 1.64`/10^2}, {e68,
      2/10^3}, {e59, 1/10^4}, {e32, 1.35`/10^4}, {e63, 1/10^4}, {e35, 
     1.35`/10^4}, {e21, 1.52`/10^6}, {e61, 1/10^4}, {e33, 1.35`/
     10^4}, {e75, 1.52`/10^6}, {e30, 2/10^7}, {e51, 5/10^7}, {e52, 2/
     10^5}, {e73, 1.52`/10^6}, {e78, 2/10^7}, {e25, 1.58`/10^4}, {e17,
      1.58`/10^4}, {e38, 1.1`/10^2}}];

Calculate basic reliability properties for a backup diesel generator.

In[3]:=

In[4]:=

Out[4]=

The mean time to failure in years.

In[5]:=

Out[5]=