太阳能电池板的寿命和保修
一块太阳能电池板由多排光伏电池组成. 每排有10个电池. 若5排电池中的3排电池和一个转换器(inverter)能工作,则此太阳能电池板就能工作. 现模拟太阳能电池板的寿命,并计算将保修从10年延长至20年的价格.
dists = Table[{Subscript[x, i], WeibullDistribution[5.87, 50]}, {i, 10}];
bexpr = And@@Table[Subscript[x, i], {i, 10}];
𝒟 = ReliabilityDistribution[bexpr, dists];ℛSolarGrid = ReliabilityDistribution[BooleanCountingFunction[{3, 5}, {x, y, z, v, w}]∧inverter, {{x, 𝒟}, {y, 𝒟}, {z, 𝒟}, {v, 𝒟}, {w, 𝒟}, {inverter, ExponentialDistribution[1 / 170]}}];ListPlot[{RandomVariate[ℛSolarGrid, 100], {{0, NExpectation[t, tℛSolarGrid]}, {100, NExpectation[t, tℛSolarGrid]}}}, Joined -> {False, True}, Filling -> Axis, AxesOrigin -> {0, 0}, ImageSize -> Medium, PlotLabel -> "MTTF and Individual Lifetimes"]Probability[10 < t ≤ 20, tℛSolarGrid] * meanCostOfRepair + profit