A Calculation Method of Gamma Unit Spare Parts Requirement under the Risk of Storage Failure
A gamma-type, demand-based technology, applied in the direction of calculation, data processing applications, instruments, 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, small error, and satisfactory The effect of engineering application requirements
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Embodiment 1
[0024] Assuming that the storage life of a gamma-type unit obeys the gamma distribution Ga(2.6,1500), the working life obeys the gamma distribution Ga(1.6,700), and the guaranteed 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] S2.2, calculate the fault time gT 1 ,make
[0033] S2.3, calculate storage effect Pzs
[0034] Since at this time S 1 = 1, so
[0035] 2.4, let P ok =P ok +gP 1 ×Pzs=0.0313, let S now =(S now -1)×(1-P z0 )=0;
[0036] 2.5, let i=i+1=2, because i>S, so turn to step 3;
[0037] S3, judgment step
[0038] Because at th...
Embodiment 2
[0041] Assuming that the storage life of a gamma-type unit obeys the gamma distribution Ga(2.6,1500), the working life obeys the gamma distribution Ga(1.6,700), and the guaranteed task time T w =5000h, guarantee probability index P 0 is 0.85, when the number of spare parts is k, the simulation process steps for the implementation of a guarantee task are as follows:
[0042] 1) The working time simTw=0 of the initialization unit;
[0043] 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 ;
[0044] 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 );
[0045] 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 );
[0046] 5) Compare the size of simTw and Tw.
[0047] If simTw>Tw, the...
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