Weibull unit spare part demand quantity calculation method under storage failure risk
A Weibull-type, demand-based technology, applied in calculation, design optimization/simulation, special data processing applications, etc., can solve the problems of unsatisfactory spare parts storage environment, failure of guarantee tasks, and failure of spare parts, etc., to achieve fast and convenient calculation, The error is small and the effect of meeting the requirements of engineering applications
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Embodiment 1
[0024] The storage life of a Weibull unit obeys the Weibull distribution W(4000,1.4), the working life obeys the Weibull distribution W(3000,1.6), and the guarantee task time T w =5000h, guarantee probability index P 0 is 0.85, try to calculate the demand for spare parts as follows:
[0025] S1, initialization step
[0026] S1.1, let the spare parts guarantee probability be
[0027] Because P ok 0 , so set the number of spare parts S = 1, go to step 1.2.
[0028] S1.2, let i=1, S now = S;
[0029] S2, calculate the guarantee probability P ok
[0030] S2.1, Calculate the failure probability gP 1 ,
[0031] make
[0032]
[0033] S2.2, calculate the fault time gT 1 ,make
[0034] S2.3, calculate storage effect Pzs
[0035] Since at this time S 1 = 1, so
[0036] S2.4, let P ok =P ok +gP 1 ×Pzs=0.3407, let S now =(S now -1)×(1-P z0 )=0;
[0037] S2.5, set i=i+1=2, since i>S, go to step 3.
[0038] S3, judgment step
[0039] Because at this time P ...
Embodiment 2
[0042] The storage life of a Weibull unit obeys the Weibull distribution W(4000,1.4), the working life obeys the Weibull distribution W(3000,1.6), and the guarantee task time T w =5000h, guarantee probability index P 0 is 0.85, try to calculate the demand for spare parts as follows:
[0043] 1) The working time simTw=0 of the initialization unit;
[0044] 2) Generate a random number t 0 , used to simulate the working life of the unit in the equipment, t 0 Obey the gamma distribution Ga(α 2 ,b 2 ); let simTw=t 0 ;
[0045] 3) Generate k random numbers t1 m (1≤m≤k), used to simulate the storage life of spare parts, t1 m Obey the gamma distribution Ga(α 1 ,b 1 );
[0046] 4) Generate k random numbers t2 m (1≤m≤k), used to simulate the working life of spare parts, t2 m Obey the gamma distribution Ga(α 2 ,b 2 );
[0047] 5) Compare the size of simTw and Tw.
[0048] If simTw>Tw, the task guarantee is successful, record simFlag=1;
[0049] If simTwm For spare parts...
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