Method and device for determining spare parts requirement of normal distribution mechanical series components

Abstract

The application relates to the field of mechanical equipment maintenance, and provides a spare part demand determination method and device for normal distribution mechanical series components, wherein the maintenance time consumption is set to obey a normal distribution, corresponding normal distribution parameters are set, the life normal distribution parameters of a plurality of mechanical units included in the mechanical series components and the total task time of the mechanical series components are combined, the spare part demand of the mechanical series components under the condition is actually calculated, the spare part demand is greatly reduced under the premise of meeting a spare part guarantee rate, technical defects of an existing spare part demand method are well solved, and an industry problem is solved.

Description

Technical Field

[0001] This invention belongs to the field of mechanical equipment maintenance, and more specifically, relates to a method and apparatus for determining the spare parts requirements of normally distributed mechanical series components. Background Technology

[0002] Mechanically connected components refer to assemblies composed of multiple similar mechanical units. When one unit fails, the entire component is considered to have failed, and repairs are completed by replacing the faulty unit. Patent document CN108470250A discloses a method for calculating spare parts requirements for normally distributed connected components, providing a method for calculating spare parts needs. However, this method has a prerequisite: that maintenance time is assumed to be zero. Therefore, strictly speaking, the existing method is only applicable to situations where maintenance time is minimal. When maintenance time is significant and cannot be ignored, how to address various issues in spare parts availability has always been a challenge for the entire industry. Summary of the Invention

[0003] In view of the shortcomings of the prior art, the purpose of this invention is to provide a method and apparatus for determining the spare parts requirements of normally distributed mechanical series components, aiming to solve the problem that the existing methods for determining the spare parts requirements of mechanical series components are only applicable to situations where maintenance time is short.

[0004] To achieve the above objectives, in a first aspect, the present invention provides a method for determining spare parts requirements for normally distributed mechanically connected components, comprising the following steps:

[0005] Step 1: Obtain the structural composition information of the normally distributed mechanical series component; the structural composition information is: the mechanical series component is composed of n mechanical units of the same type connected in series, and the lifespan of each mechanical unit follows the same normal distribution; set the parameters corresponding to the normal distribution of the mechanical unit lifespan as the first set of normal distribution parameters; n is a positive integer greater than 1;

[0006] Step 2: Set the maintenance time of the mechanical unit to be non-zero, and set the maintenance time to follow a normal distribution; set the parameters corresponding to the normal distribution of maintenance time to the second set of normal distribution parameters;

[0007] Step 3: Set the number of spare parts for the mechanically connected components to 0, and the spare parts availability probability to 0.

[0008] Step 4: Determine the probability that the mechanical series component will be repaired in a timely manner when the number of spare parts is 0 based on the first set of normal distribution parameters, and set the probability that the mechanical series component will not be repaired in a timely manner at this time to 0.

[0009] Step 5: Add the probability of timely repair and the probability of untimely repair when the number of spare parts is 0 to obtain the spare parts availability rate of the mechanically connected components.

[0010] Step 6: If the current spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and proceed to step 7; otherwise, proceed to step 10.

[0011] Step 7: Determine the current total number of spare parts. Based on the first set of normal distribution parameters and the second set of normal distribution parameters, determine the probability of timely completion of maintenance and the probability of untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 1 to the maximum value.

[0012] Step 8: Summing up the probability of timely repair and the probability of untimely repair when the number of spare parts consumed by the mechanical series components is increased from 0 to the maximum value, to obtain the spare parts availability rate of the mechanical series components.

[0013] Step 9: If the current spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and execute steps 7-8; otherwise, execute step 10.

[0014] Step 10: Output the final determined number of spare parts and spare parts availability rate.

[0015] It should be noted that the units in a component belong to the same type. For example, the power supply unit in a flashlight, when considered as a mechanically connected series component, consists of four AA batteries, which means it includes four identical mechanical units, each of which refers to a battery of the same type.

[0016] Optionally, the probability of timely repair of mechanically connected components when the number of spare parts is 0 is determined based on the first set of normal distribution parameters, specifically as follows:

[0017] Let the parameters of the first group of normal distributions include: a is the mean, b is the root variance; let i represent the number of spare parts; let Ps be the probability of timely completion of maintenance when the number of spare parts is i. i The probability that repairs are not completed in a timely manner is Pf. i ;

[0018] Then when i = 0, Pf i =0.

[0019] Optionally, based on the first set of normal distribution parameters and the second set of normal distribution parameters, the probabilities of timely completion of maintenance and untimely completion of maintenance are determined as the number of spare parts consumed by the mechanically connected components increases from 1 to the maximum value, respectively. Specifically:

[0020] Let the parameters of the second set of normal distributions include: c is the mean of maintenance time, and d is the root variance of maintenance time;

[0021] Then when i>0,

[0022]

[0023] Where g(x) represents the probability of consuming i spare parts under the condition that the maintenance is completed in a timely manner, i>0; h(y) represents the probability of consuming i spare parts under the condition that the maintenance is not completed in a timely manner, i>0.

[0024] Alternatively, the steps for calculating g(x) are as follows:

[0025] (G.1) Let j = 1, calculate the probability array pd, where the probability array pd includes i+1 elements, and the value of each element is determined by the following formula:

[0026]

[0027] (G.2) If j = 1, then let pj = pd; otherwise, pj = pj * pd, where * is the convolution calculation symbol.

[0028] (G.3) Update j = j + 1. If j ≤ n, execute (G.2); otherwise execute (G.4).

[0029] (G.4) Let g(x) = pj 1+i Among them, pj 1+i It is the (1+i)th element in array pj;

[0030] The steps for calculating h(y) are as follows:

[0031] (H.1) Let s = 1, calculate the probability array pdd, where the probability array pdd includes i+1 elements, and the value of each element is determined by the following formula:

[0032]

[0033] Calculate the probability array pg, where pg contains i elements, and the value of each element is determined by the following formula: 1≤k≤i;

[0034] (H.2) If s = 1, then let pjj = pg; otherwise, pjj = pjj * pdd, where * is the convolution calculation symbol.

[0035] (H.3) Update s = s + 1. If s ≤ n, then execute (H.2); otherwise execute (H.4).

[0036] (H.4) Let h(y) = pjj i Among them, pjj i It is the i-th element in the array pjj.

[0037] Secondly, the present invention provides a spare parts demand determination device for normally distributed mechanical series components, comprising:

[0038] A component composition acquisition unit is used to acquire structural composition information of a normally distributed mechanical series component; the structural composition information is: the mechanical series component is composed of n mechanical units of the same type connected in series, and the lifespan of each mechanical unit follows the same normal distribution; the parameters corresponding to the normal distribution of the mechanical unit lifespan are set as the first set of normal distribution parameters; n is a positive integer greater than 1;

[0039] The maintenance time setting unit is used to set the maintenance time of the mechanical unit to be non-zero, and to set the maintenance time to follow a normal distribution; the parameters corresponding to the normal distribution of maintenance time are set to the second set of normal distribution parameters;

[0040] The spare parts requirement determination unit is used to set the spare parts quantity of the mechanically connected components to 0 and the spare parts availability probability to 0; it determines the probability of timely repair of the mechanically connected components when the spare parts quantity is 0 based on the first set of normal distribution parameters, and sets the probability of untimely repair of the mechanically connected components at this time to 0; it adds the probability of timely repair and the probability of untimely repair when the spare parts quantity is 0 to obtain the spare parts availability rate of the mechanically connected components; if the currently obtained spare parts availability rate is lower than the preset probability value, it increases the spare parts quantity by 1 and continues to the subsequent steps; otherwise, it outputs the finally determined spare parts quantity and spare parts availability; the subsequent... The steps are as follows: Determine the current total number of spare parts; based on the first set of normal distribution parameters and the second set of normal distribution parameters, determine the probability of timely completion of maintenance and the probability of untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 1 to the maximum value; sum the probabilities of timely completion of maintenance and untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 0 to the maximum value to obtain the spare parts availability rate of the mechanical series components; if the currently obtained spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and execute the subsequent steps; otherwise, output the final determined number of spare parts and spare parts availability rate.

[0041] Optionally, the spare parts demand determination unit determines the probability that the mechanically connected components will be repaired in a timely manner when the number of spare parts is 0, based on the first set of normal distribution parameters. Specifically:

[0042] Let the parameters of the first group of normal distributions include: a is the mean, b is the root variance; let i represent the number of spare parts; let Ps be the probability of timely completion of maintenance when the number of spare parts is i. i The probability that repairs are not completed in a timely manner is Pf. i ;

[0043] Then when i = 0, Pf i =0.

[0044] Optionally, the spare parts demand determination unit determines, based on the first set of normal distribution parameters and the second set of normal distribution parameters, the probability of timely completion of maintenance and the probability of untimely completion of maintenance corresponding to the sequential increase of the number of spare parts consumed by the mechanically connected components from 1 to the maximum value, respectively. Specifically:

[0045] Let the parameters of the second set of normal distributions include: c is the mean of maintenance time, and d is the root variance of maintenance time;

[0046] Then when i>0,

[0047]

[0048] Where g(x) represents the probability of consuming i spare parts under the condition that the maintenance is completed in a timely manner, i>0; h(y) represents the probability of consuming i spare parts under the condition that the maintenance is not completed in a timely manner, i>0.

[0049] Optionally, the calculation steps for parameter g(x) in the spare parts demand determination unit are as follows:

[0050] (G.1) Let j = 1, calculate the probability array pd, where the probability array pd includes i+1 elements, and the value of each element is determined by the following formula:

[0051]

[0052] (G.2) If j = 1, then let pj = pd; otherwise, pj = pj * pd, where * is the convolution calculation symbol.

[0053] (G.3) Update j = j + 1. If j ≤ n, execute (G.2); otherwise execute (G.4).

[0054] (G.4) Let g(x) = pj 1+i Among them, pj 1+i It is the (1+i)th element in array pj;

[0055] The steps for calculating h(y) are as follows:

[0056] (H.1) Let s = 1, calculate the probability array pdd, where the probability array pdd includes i+1 elements, and the value of each element is determined by the following formula:

[0057]

[0058] Calculate the probability array pg, where pg contains i elements, and the value of each element is determined by the following formula: 1≤k≤i;

[0059] (H.2) If s = 1, then let pjj = pg; otherwise, pjj = pjj * pdd, where * is the convolution calculation symbol.

[0060] (H.3) Update s = s + 1. If s ≤ n, then execute (H.2); otherwise execute (H.4).

[0061] (H.4) Let h(y) = pjj i Among them, pjj i It is the i-th element in the array pjj.

[0062] Thirdly, this application provides an electronic device, comprising: at least one memory for storing a program; and at least one processor for executing the program stored in the memory, wherein when the program stored in the memory is executed, the processor is configured to execute the method described in the first aspect or any optional mode of the first aspect.

[0063] Fourthly, this application provides a computer-readable storage medium storing a computer program that, when run on a processor, causes the processor to perform the method described in the first aspect or any alternative mode of the first aspect.

[0064] Fifthly, this application provides a computer program product that, when run on a processor, causes the processor to perform the method described in the first aspect or any of the alternative methods of the first aspect.

[0065] In summary, the technical solutions conceived by this invention have the following beneficial effects compared with the prior art:

[0066] This invention provides a method and apparatus for determining spare parts requirements for normally distributed mechanical series components. In this invention, the maintenance time is set to follow a normal distribution, and corresponding normal distribution parameters are set. Combining the life distribution parameters of the multiple mechanical units included in the mechanical series component and the total task time of the mechanical series component, the spare parts requirements of the mechanical series component under this condition are actually calculated. This greatly reduces the spare parts requirement while meeting the spare parts availability rate, and effectively solves the technical defects of existing spare parts requirement methods. Attached Figure Description

[0067] Figure 1 This is a comparison chart of the spare parts availability probability results of the three methods provided in the embodiments of the present invention. Detailed Implementation

[0068] To make the objectives, technical solutions, and advantages of this invention clearer, the invention will be further described in detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the invention.

[0069] In this invention, the term "and / or" describes the relationship between related objects, indicating that three relationships can exist. For example, A and / or B can represent: A existing alone, A and B existing simultaneously, or B existing alone. In this invention, the symbol " / " indicates that the related objects are in an "or" relationship; for example, A / B means A or B.

[0070] In the embodiments of this application, the terms "exemplary" or "for example" are used to indicate that something is an example, illustration, or description. Any embodiment or design that is described as "exemplary" or "for example" in the embodiments of this application should not be construed as being more preferred or advantageous than other embodiments or design. Specifically, the use of the terms "exemplary" or "for example" is intended to present the relevant concepts in a specific manner.

[0071] In the description of the embodiments of this application, unless otherwise stated, "multiple" means two or more, for example, multiple processing units means two or more processing units, multiple elements means two or more elements, etc.

[0072] This invention provides a method for determining spare parts requirements for normally distributed mechanical series components, comprising the following steps:

[0073] Step 1: Obtain the structural composition information of the normally distributed mechanical series component; the structural composition information is: the mechanical series component is composed of n mechanical units of the same type connected in series, and the lifespan of each mechanical unit follows the same normal distribution; set the parameters corresponding to the normal distribution of the mechanical unit lifespan as the first set of normal distribution parameters; n is a positive integer greater than 1;

[0074] Step 2: Set the maintenance time of the mechanical unit to be non-zero, and set the maintenance time to follow a normal distribution; set the parameters corresponding to the normal distribution of maintenance time to the second set of normal distribution parameters;

[0075] Step 3: Set the number of spare parts for the mechanically connected components to 0, and the spare parts availability probability to 0.

[0076] Step 4: Determine the probability that the mechanical series component will be repaired in a timely manner when the number of spare parts is 0 based on the first set of normal distribution parameters, and set the probability that the mechanical series component will not be repaired in a timely manner at this time to 0.

[0077] Step 5: Add the probability of timely repair and the probability of untimely repair when the number of spare parts is 0 to obtain the spare parts availability rate of the mechanically connected components.

[0078] Step 6: If the current spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and proceed to step 7; otherwise, proceed to step 10.

[0079] Step 7: Determine the current total number of spare parts. Based on the first set of normal distribution parameters and the second set of normal distribution parameters, determine the probability of timely completion of maintenance and the probability of untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 1 to the maximum value.

[0080] Step 8: Summing up the probability of timely repair and the probability of untimely repair when the number of spare parts consumed by the mechanical series components is increased from 0 to the maximum value, to obtain the spare parts availability rate of the mechanical series components.

[0081] Step 9: If the current spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and execute steps 7-8; otherwise, execute step 10.

[0082] Step 10: Output the final determined number of spare parts and spare parts availability rate.

[0083] It should be noted that the mechanical components of this invention refer to assemblies composed of multiple similar mechanical units. When one unit fails, the entire component is considered to have failed, and repair of the component is accomplished by replacing the faulty unit. The lifespan of mechanical components generally follows a normal distribution, such as bus rings, gearboxes, and reducers. If a random variable follows a normal distribution N(μ,σ), where μ is the mean and σ is the root variance, its probability density function is...

[0084] In this invention, the task time T and the spare parts availability probability index P are known. A certain mechanical component consists of n mechanical units. The lifespan of these units follows a normal distribution N(a,b), and the maintenance time follows a normal distribution N(c,d), where c is the mean of the maintenance time and d is the root variance of the maintenance time.

[0085] As an example, the present invention provides a method for calculating the demand for spare parts considering maintenance time, the specific steps of which are as follows:

[0086] (1) Initialize, let the number of spare parts i = 0, and the spare parts availability probability Pb ​​= 0;

[0087] (2) Calculate the probability Ps of timely completion of maintenance. i The probability Pf that repairs are not completed in a timely manner i

[0088] When i = 0 Pf i =0;

[0089] When i > 0

[0090]

[0091] The calculation steps of g(x) are:

[0092] (G.1) Let j=1, calculate the probability array pd,

[0093]

[0094] (G.2) If j=1, then let pj=pd; otherwise, pj=pj*pd, where * is a convolution calculation symbol; (G.3) Update j=j+1, if j≤n then execute (G.2), otherwise execute (G.4); (G.4) Let g(x)=pj 1+i .

[0095] The calculation steps of h(y) are:

[0096] (H.1) Let j=1, calculate the probability array pd,

[0097]

[0098] Calculate the probability array pg, 1≤k≤i,;

[0099] (H.2) If j=1, then let pj=pg; otherwise, pj=pj*pd, where * is a convolution calculation symbol;

[0100] (H.3) Update j=j+1, if j≤n then execute (H.2), otherwise execute (H.4);

[0101] (H.4) Let h(y)=pj i .

[0102] (3) Update the spare parts support probability

[0103] (4) If Pb<P, update i=i+1 and execute (2), otherwise execute (4);

[0104] (5) Let the spare parts demand s=i, Pb is its spare parts support probability, and output s and Pb.

[0105] A specific embodiment is provided below: a mechanical component consists of 4 mechanical units of the same type, the service life of the mechanical unit obeys normal distribution N(80,28), the task time is 150h, the troubleshooting time obeys normal distribution N(10,3), the required spare parts support probability is not less than 0.9, and the spare parts demand at this time is calculated.

[0106] Solution: (1) Initialize, let the number of spare parts i=0, the spare parts support probability Pb=0;

[0107] Execute (2)~(4) multiple times, and the relevant results are shown in Table 1.

[0108] Table 1

[0109]

[0110]

[0111] (5) The spare parts demand is 5, and the corresponding spare parts guarantee probability is 0.9791, which meets the requirement of not less than 0.9.

[0112] The key to this invention's method lies in calculating the spare parts availability probability corresponding to the number of spare parts. This is achieved by employing conventional methods under ideal conditions that ignore maintenance time, the invention's evaluation method considering maintenance time, and a simulation method considering maintenance time. Figure 1 The results show the spare parts availability probabilities for three different spare parts quantities (0-9) in the above example. Figure 1 This indicates that the evaluation results of the method of this invention are in excellent agreement with the simulation results, reflecting the actual situation that "due to the time spent on maintenance during the task, the demand for spare parts will decrease, and the probability of spare parts availability should be higher for the same number of spare parts." Faced with the same requirement of "spare parts availability probability not less than 0.9," the spare parts demand is 7 when maintenance time is ignored and 5 when maintenance time is considered. When faced with situations where maintenance time is significant, the method of this invention can more rationally determine the spare parts demand, effectively solving the problem of excessive spare parts preparation caused by previous industry methods.

[0113] In addition, embodiments of the present invention provide a spare parts requirement determination device for normally distributed mechanical series components, comprising:

[0114] A component composition acquisition unit is used to acquire structural composition information of a normally distributed mechanical series component; the structural composition information is: the mechanical series component is composed of n mechanical units of the same type connected in series, and the lifespan of each mechanical unit follows the same normal distribution; the parameters corresponding to the normal distribution of the mechanical unit lifespan are set as the first set of normal distribution parameters; n is a positive integer greater than 1;

[0115] The maintenance time setting unit is used to set the maintenance time of the mechanical unit to be non-zero, and to set the maintenance time to follow a normal distribution; the parameters corresponding to the normal distribution of maintenance time are set to the second set of normal distribution parameters;

[0116] The spare parts requirement determination unit is used to set the spare parts quantity of the mechanically connected components to 0 and the spare parts availability probability to 0; it determines the probability of timely repair of the mechanically connected components when the spare parts quantity is 0 based on the first set of normal distribution parameters, and sets the probability of untimely repair of the mechanically connected components at this time to 0; it adds the probability of timely repair and the probability of untimely repair when the spare parts quantity is 0 to obtain the spare parts availability rate of the mechanically connected components; if the currently obtained spare parts availability rate is lower than the preset probability value, it increases the spare parts quantity by 1 and continues to the subsequent steps; otherwise, it outputs the finally determined spare parts quantity and spare parts availability; the subsequent... The steps are as follows: Determine the current total number of spare parts; based on the first set of normal distribution parameters and the second set of normal distribution parameters, determine the probability of timely completion of maintenance and the probability of untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 1 to the maximum value; sum the probabilities of timely completion of maintenance and untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 0 to the maximum value to obtain the spare parts availability rate of the mechanical series components; if the currently obtained spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and execute the subsequent steps; otherwise, output the final determined number of spare parts and spare parts availability rate.

[0117] It should be understood that the above-described device is used to execute the methods in the above embodiments. The implementation principle and technical effect of the corresponding program modules in the device are similar to those described in the above methods. The working process of the device can be referred to the corresponding process in the above methods, and will not be repeated here.

[0118] Based on the methods described in the above embodiments, this application provides an electronic device. The device may include at least one memory for storing a program and at least one processor for executing the program stored in the memory. When the program stored in the memory is executed, the processor performs the methods described in the above embodiments.

[0119] Based on the methods in the above embodiments, this application provides a computer-readable storage medium storing a computer program that, when run on a processor, causes the processor to execute the methods in the above embodiments.

[0120] Based on the methods in the above embodiments, this application provides a computer program product that, when run on a processor, causes the processor to execute the methods in the above embodiments.

[0121] It is understood that the processor in the embodiments of this application may be a central processing unit (CPU), or other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, transistor logic devices, hardware components, or any combination thereof. A general-purpose processor may be a microprocessor or any conventional processor.

[0122] The method steps in the embodiments of this application can be implemented in hardware or by a processor executing software instructions. The software instructions can consist of corresponding software modules, which can be stored in random access memory (RAM), flash memory, read-only memory (ROM), programmable read-only memory (PROM), erasable programmable read-only memory (EPROM), electrically erasable programmable read-only memory (EEPROM), registers, hard disks, portable hard disks, CD-ROMs, or any other form of storage medium known in the art. An exemplary storage medium is coupled to the processor, enabling the processor to read information from and write information to the storage medium. Of course, the storage medium can also be a component of the processor. The processor and the storage medium can reside in an ASIC.

[0123] In the above embodiments, implementation can be achieved entirely or partially through software, hardware, firmware, or any combination thereof. When implemented using software, it can be implemented entirely or partially in the form of a computer program product. The computer program product includes one or more computer instructions. When the computer program instructions are loaded and executed on a computer, all or part of the processes or functions described in the embodiments of this application are generated. The computer can be a general-purpose computer, a special-purpose computer, a computer network, or other programmable device. The computer instructions can be stored in a computer-readable storage medium or transmitted through the computer-readable storage medium. The computer instructions can be transmitted from one website, computer, server, or data center to another website, computer, server, or data center via wired (e.g., coaxial cable, fiber optic, digital subscriber line (DSL)) or wireless (e.g., infrared, wireless, microwave, etc.) means. The computer-readable storage medium can be any available medium that a computer can access or a data storage device such as a server or data center that integrates one or more available media. The available medium can be a magnetic medium (e.g., floppy disk, hard disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium (e.g., solid-state disk (SSD)).

[0124] It is understood that the various numerical designations used in the embodiments of this application are merely for descriptive convenience and are not intended to limit the scope of the embodiments of this application.

[0125] Those skilled in the art will readily understand that the above description is merely a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, and improvements made within the spirit and principles of the present invention should be included within the scope of protection of the present invention.

Claims

1. A method for determining spare parts requirements for normally distributed mechanical series components, characterized in that, Includes the following steps: Step 1, obtain the structural composition information of the normally distributed mechanical series components; the structural composition information is: the mechanical series components are composed of n The system consists of several identical mechanical units connected in series, with each unit's lifespan following the same normal distribution. The parameters corresponding to the normal distribution of the mechanical unit's lifespan are set as the first set of normal distribution parameters. n It is a positive integer greater than 1; Step 2: Set the maintenance time of the mechanical unit to be non-zero, and set the maintenance time to follow a normal distribution; set the parameters corresponding to the normal distribution of maintenance time to the second set of normal distribution parameters; Step 3: Set the number of spare parts for the mechanically connected components to 0, and the spare parts availability probability to 0. Step 4: Determine the probability that the mechanical series component will be repaired in a timely manner when the number of spare parts is 0 based on the first set of normal distribution parameters, and set the probability that the mechanical series component will not be repaired in a timely manner at this time to 0. Step 5: Add the probability of timely repair and the probability of untimely repair when the number of spare parts is 0 to obtain the spare parts availability rate of the mechanically connected components. Step 6: If the current spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and proceed to step 7; otherwise, proceed to step 10. Step 7: Determine the current total number of spare parts. Based on the first set of normal distribution parameters and the second set of normal distribution parameters, determine the probability of timely completion of maintenance and the probability of untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 1 to the maximum value. Step 8: Summing up the probability of timely repair and the probability of untimely repair when the number of spare parts consumed by the mechanical series components is increased from 0 to the maximum value, to obtain the spare parts availability rate of the mechanical series components. Step 9: If the current spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and execute steps 7-8; otherwise, execute step 10. Step 10: Output the final determined number of spare parts and spare parts availability rate; The probability of timely repair of mechanically connected components when the number of spare parts is 0, determined based on the first set of normal distribution parameters, is as follows: Let the parameters of the first group of normal distributions include: a The mean, b Let be the root variance; let i represent the number of spare parts; the probability of timely completion of maintenance when the number of spare parts is i is . The probability of repairs not being completed in a timely manner is ; Then when hour, , ; The probability of timely completion of maintenance and the probability of untimely completion of maintenance, respectively, are determined by the first set of normal distribution parameters and the second set of normal distribution parameters when the number of spare parts consumed by the mechanically connected components increases from 1 to the maximum value. Specifically: Let the parameters of the second set of normal distributions include: This is the average repair time. It is the root variance of repair time; Then when hour, , ； in, g ( x () represents the probability of consuming i spare parts under the condition that the maintenance is completed in a timely manner, where i>0; h ( y ) represents the probability of consuming i spare parts if the maintenance is not completed in time, where i>0.

2. The method according to claim 1, characterized in that, The calculation steps are as follows: (G.1) Order Calculate the probability array The probability array pd consists of i+1 elements, and the value of each element is determined by the following formula: (G.2) If Then let ,otherwise , It is the symbol for convolution calculation; (G.3) Update ,like Then execute (G.2), otherwise execute (G.4); (G.4) Order ,in, It is the (1+i)th element in array pj; The calculation steps are as follows: (H.1) Let Calculate the probability array The probability array pdd contains i+1 elements, and the value of each element is determined by the following formula: Calculate the probability array The probability array pg contains i elements, and the value of each element is determined by the following formula: ; (H.2) If Then let ,otherwise , It is the symbol for convolution calculation; (H.3) Update ,like Then execute (H.2), otherwise execute (H.4); (H.4) Let ,in, It is the i-th element in the array pjj.

3. A device for determining spare parts requirements for normally distributed mechanical series components, characterized in that, include: A component composition acquisition unit is used to acquire structural composition information of normally distributed mechanically connected components; the structural composition information is: the mechanically connected components are composed of... n The system consists of several identical mechanical units connected in series, with each unit's lifespan following the same normal distribution. The parameters corresponding to the normal distribution of the mechanical unit's lifespan are set as the first set of normal distribution parameters. n It is a positive integer greater than 1; The maintenance time setting unit is used to set the maintenance time of the mechanical unit to be non-zero, and to set the maintenance time to follow a normal distribution; the parameters corresponding to the normal distribution of maintenance time are set to the second set of normal distribution parameters; The spare parts requirement determination unit is used to set the spare parts quantity of the mechanically connected components to 0 and the spare parts availability probability to 0; it determines the probability of timely repair of the mechanically connected components when the spare parts quantity is 0 based on the first set of normal distribution parameters, and sets the probability of untimely repair of the mechanically connected components at this time to 0; it adds the probability of timely repair and the probability of untimely repair when the spare parts quantity is 0 to obtain the spare parts availability rate of the mechanically connected components; if the currently obtained spare parts availability rate is lower than the preset probability value, it increases the spare parts quantity by 1 and continues to the subsequent steps; otherwise, it outputs the finally determined spare parts quantity and spare parts availability; the subsequent... The steps are as follows: Determine the current total number of spare parts; based on the first set of normal distribution parameters and the second set of normal distribution parameters, determine the probability of timely completion of maintenance and the probability of untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 1 to the maximum value; sum the probabilities of timely completion of maintenance and untimely completion of maintenance when the number of spare parts consumed by the mechanical series components increases from 0 to the maximum value to obtain the spare parts availability rate of the mechanical series components; if the currently obtained spare parts availability rate is lower than the preset probability value, increase the number of spare parts by 1 and execute the subsequent steps; otherwise, output the final determined number of spare parts and spare parts availability rate. The spare parts demand determination unit is also used to determine the probability that the mechanically connected components will be repaired in a timely manner when the number of spare parts is 0, based on the first set of normal distribution parameters. Specifically: Let the parameters of the first group of normal distributions include: a The mean, b Let be the root variance; let i represent the number of spare parts; the probability of timely completion of maintenance when the number of spare parts is i is . The probability of repairs not being completed in a timely manner is ; Then when hour, , ; The spare parts demand determination unit is further configured to determine, based on the first set of normal distribution parameters and the second set of normal distribution parameters, the probability of timely completion of maintenance and the probability of untimely completion of maintenance corresponding to the sequential increase of the number of spare parts consumed by the mechanically connected components from 1 to the maximum value, respectively. Specifically: Let the parameters of the second set of normal distributions include: This is the average repair time. It is the root variance of repair time; Then when hour, , ; in, g ( x () represents the probability of consuming i spare parts under the condition that the maintenance is completed in a timely manner, where i>0; h ( y ) represents the probability of consuming i spare parts if the maintenance is not completed in time, where i>0.

4. The apparatus according to claim 3, characterized in that, The parameters in the spare parts demand determination unit The calculation steps are as follows: (G.1) Order Calculate the probability array The probability array pd consists of i+1 elements, and the value of each element is determined by the following formula: (G.2) If Then let ,otherwise , It is the symbol for convolution calculation; (G.3) Update ,like Then execute (G.2), otherwise execute (G.4); (G.4) Order ,in, It is the (1+i)th element in array pj; The calculation steps are as follows: (H.1) Let Calculate the probability array The probability array pdd contains i+1 elements, and the value of each element is determined by the following formula: Calculate the probability array The probability array pg contains i elements, and the value of each element is determined by the following formula: ; (H.2) If Then let ,otherwise , It is the symbol for convolution calculation; (H.3) Update ,like Then execute (H.2), otherwise execute (H.4); (H.4) Let ,in, It is the i-th element in the array pjj.

5. An electronic device, characterized in that, include: At least one memory for storing programs; At least one processor is configured to execute a program stored in the memory, wherein when the program stored in the memory is executed, the processor is configured to perform the method as described in any one of claims 1 or 2.

6. A computer-readable storage medium, characterized in that, The computer-readable storage medium stores a computer program that, when run on a processor, causes the processor to perform the method as described in any one of claims 1 or 2.

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