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Calculation method and device for spare parts support probability of log-normal general-purpose parts
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A logarithmic normal and probability calculation technology, applied in complex mathematical operations, design optimization/simulation, etc.
Active Publication Date: 2022-06-14
NAVAL UNIV OF ENG PLA
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Problems solved by technology
If the conventional method is adopted in the spare parts guarantee of common parts, the interchangeability of common parts will not be considered, resulting in excessive purchase and storage of spare parts, resulting in waste
In the process of overall planning of spare parts for common parts, from the standpoint of equipment users, a key question needs to be answered: "How to evaluate the guarantee effect of spare parts for each equipment when unified supply guarantee?" At present, there is no good solution method to answer the question
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Embodiment 1
[0041] S1. Establish a probability matrix dyPs by using the failure probabilities of the common parts of each equipment. The element dyPs(i, j) in the matrix represents the probability of j-1 failures of the common parts of the i-th equipment, 1≤i≤N, 1≤j ≤S+2, N is the number of equipment equipped with log-normal general-purpose parts, S is the number of spare parts of log-normal general-purpose parts in the spare parts warehouse; the value of matrix element dyPs(i,j) is as follows:
[0042]
[0043] In the formula, Γ() is the gamma function, T i The planned working time for the i-th equipment of the lognormal general-purpose part within a guarantee period;
[0044] S2, make the current equipment number i=1;
[0045] S3, the other equipment numbers are stored in the array i23, initialize i23 m =m+1, 1≤m≤N-1; if i>1, correct i23 i-1 = 1;
[0046] S4. Calculate the spare parts support probability dyP of the current equipment i ;
[0047] S41, let j=1;
[0048] S42,...
Embodiment 2
[0072] The probability matrix establishment module is used to establish and calculate the probability matrix dyPs, the element dyPs(i, j) in the matrix represents the probability of j-1 failures of the general parts of the i-th equipment, 1≤i≤N, 1≤j≤ S+2, N is the number of equipment equipped with log-normal general-purpose parts, S is the number of spare parts of log-normal general-purpose parts in the spare parts warehouse; the value of matrix element dyPs(i,j) is as follows:
[0073]
[0074] In the formula, Γ() is the gamma function, T i The planned working time for the i-th equipment of the lognormal general-purpose part within a guarantee period;
[0075] The spare parts support probability calculation module is used to sequentially calculate the probability distribution of the sum of common parts failures in other equipment other than the current equipment by using convolution operation, and calculate according to the probability distribution of the sum of comm...
[0079] The processor is configured to read and execute the computer software program stored in the memory, so as to realize a method for calculating the spare parts guarantee probability of lognormal general-purpose parts as described in Embodiment 1 of the present invention.
[0080] Embodiment Four
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Abstract
The invention relates to a method and a device for calculating the spare parts support probability of log-normal general parts, belonging to the technical field of equipment spare parts support. The present invention first uses the failure probabilities of common parts of each equipment to establish a probability matrix, then sequentially selects the equipment equipped with common parts as the current equipment, uses convolution operations to calculate the probability distribution of the sum of common parts failures in other equipment, and finally according to the Calculate the spare parts support probability of the current equipment based on the probability distribution of the sum of failures of common parts in other equipment mentioned above. The present invention fully considers the failure probability of common parts in different equipments, uses the failure probabilities of other equipment to calculate the guarantee probability of the current equipment, coordinates and plans the overall demand of common parts, and reduces the waste of resources while satisfying the adequacy of spare parts resources .
Description
technical field [0001] The invention relates to the technical field of equipment spare parts support, in particular to a method and device for calculating the probability of spare parts support for log-normal general-purpose parts. Background technique [0002] The logarithmic normal general-purpose part is a component unit whose life distribution obeys the logarithmic normal distribution, which is interchangeable in different types or the same type of equipment with different specifications, such as: helicopter rotary blades, aircraft structures, metal fatigue, motors Winding insulation, semiconductor devices, silicon transistors, germanium transistors, etc. The lifespan X of lognormal general-purpose parts obeys lognormal distribution and is denoted as X~Ln(μ,σ 2 ), where μ>0 is the logarithmic mean parameter, σ>0 is the logarithmic root variance parameter, and the density function of X is [0003] Due to the high versatility of common parts, after comprehensiv...
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