CN110727902B - Weibull general spare part demand quantity calculating method and device - Google Patents
Weibull general spare part demand quantity calculating method and device Download PDFInfo
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- CN110727902B CN110727902B CN201910944872.6A CN201910944872A CN110727902B CN 110727902 B CN110727902 B CN 110727902B CN 201910944872 A CN201910944872 A CN 201910944872A CN 110727902 B CN110727902 B CN 110727902B
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- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
- G06F17/10—Complex mathematical operations
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- G06—COMPUTING; CALCULATING OR COUNTING
- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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- G06Q10/06315—Needs-based resource requirements planning or analysis
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- G—PHYSICS
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- G06Q—INFORMATION AND COMMUNICATION TECHNOLOGY [ICT] SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES; SYSTEMS OR METHODS SPECIALLY ADAPTED FOR ADMINISTRATIVE, COMMERCIAL, FINANCIAL, MANAGERIAL OR SUPERVISORY PURPOSES, NOT OTHERWISE PROVIDED FOR
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- G06Q10/087—Inventory or stock management, e.g. order filling, procurement or balancing against orders
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- Y02P—CLIMATE CHANGE MITIGATION TECHNOLOGIES IN THE PRODUCTION OR PROCESSING OF GOODS
- Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
- Y02P90/30—Computing systems specially adapted for manufacturing
Abstract
The invention relates to a method and a device for calculating the demand of a Wibber type general spare part. According to the invention, the spare part demand is comprehensively considered from the overall demand of all equipment, and the interchangeability characteristic of the universal parts is fully considered, so that the final spare part demand obtained through calculation can be fitted with the actual demand to a great extent, and the excessive purchasing of the universal parts is avoided, so that the waste is formed.
Description
Technical Field
The invention relates to the technical field of equipment maintenance and guarantee, in particular to a method and a device for calculating the demand quantity of a Weibull universal spare part.
Background
The weibull distribution is a common life distribution, which is commonly used to describe failure conditions due to aging, and is mainly applicable to electromechanical units, such as: ball bearings, relays, batteries, hydraulic pumps, gears, material fatigue pieces, and the like. And the universal parts are part units with interchangeability in different types or different specifications of the same type of products. The Weibull type universal part refers to a universal part with unit life obeying Weibull distribution, the life X obeys Weibull distribution and is marked as X-W (A, B), and the density function of X is
The universal parts have higher universality, so that the universal parts can be used in a wider range of products. The calculation of spare part demand is generally aimed at meeting the spare part demand of a piece of equipment. For general-purpose parts, the method adopted in the past is as follows: firstly, the spare part demand of each equipment is calculated, and then the sum of all spare part quantities is used as the final spare part demand. The method does not actually consider the interchangeability characteristic of the universal parts, but does not comprehensively consider the spare part demand from the overall demand of all equipment, and excessive purchasing of the universal parts and spare parts can be caused to form waste.
Disclosure of Invention
Aiming at the technical problems in the prior art, the invention provides a method and a device for calculating the demand of the spare parts of a Wibber type universal part, which fully consider the interchangeability characteristic of the universal part and comprehensively consider the demand of the spare parts from the overall demand of all equipment.
The technical scheme for solving the technical problems is as follows:
in a first aspect, the present invention provides a method for calculating the demand of a weibull universal spare part, comprising the steps of:
s1, initializing the number S of spare parts, enabling S to be 0, approximating Weibull distribution W (A, B) to be gamma distribution Ga (a, B), enablingWhere Γ () is a gamma function,
S2，i＝1；
s3, calculating an array p1, wherein the array comprises S+1 elements, so that
Wherein T is i Representing the annual planned working time of the universal piece in the ith equipment, wherein i is more than or equal to 1 and less than or equal to N, and N is the total number of the equipment using the universal piece;
s4, if i is equal to 1, let p2=p1; otherwise, let p2=p1×p2, where×is the convolution symbol;
s5, let i=i+1, if i is less than or equal to N, jump to step S3, otherwise letThen jumping to step S6;
s6, judging P S Whether the spare part guarantee requirement is met, namely judging P S Whether or not it is smaller than the minimum spare part satisfaction rate P1, if P S Let s=s+1 and jump to step S2, otherwise terminate the calculation and output the current value of S as the final spare part demand.
The beneficial effects of the invention are as follows: the spare part demand is comprehensively considered from the overall demand of all equipment, and the interchangeability characteristic of the general parts is fully considered, so that the calculated final spare part demand can be fitted with the actual demand to a great extent, and excessive purchasing of the general spare parts is avoided, and waste is formed.
In a second aspect, the present invention provides a weibull universal spare part demand calculation apparatus, comprising:
an input module for setting the number of equipment N, the minimum spare part satisfaction rate P1 and the annual planned working time T of the general parts in each equipment i ，1≤i≤N；
The calculation module is used for calculating the demand of the spare parts of the general-purpose parts; the specific calculation method is as follows:
s1, initializing the number S of spare parts, enabling S to be 0, approximating Weibull distribution W (A, B) to be gamma distribution Ga (a, B), enablingWhere Γ () is a gamma function,
S2，i＝1；
s3, calculating an array p1, wherein the array comprises S+1 elements, so that
Wherein T is i Representing the annual planned operating time of the generic part in the ith equipment,i is more than or equal to 1 and less than or equal to N, wherein N is the total number of equipment using the universal piece;
s4, if i is equal to 1, let p2=p1; otherwise, let p2=p1×p2, where×is the convolution symbol;
s5, let i=i+1, if i is less than or equal to N, jump to step S3, otherwise letThen jumping to step S6;
s6, judging P S Whether the spare part guarantee requirement is met, namely judging P S Whether or not it is smaller than the minimum spare part satisfaction rate P1, if P S Let s=s+1 and jump to step S2, otherwise terminate the calculation and take the current value of S as the final spare part demand;
and the output display module is used for outputting and displaying the final spare part demand calculated by the calculation module.
In a third aspect, the present invention provides a weibull universal spare part demand calculation apparatus, comprising:
a memory for storing a computer software program;
and the processor is used for reading and executing the computer software program stored in the memory to realize the Weibull universal spare part demand quantity calculating method according to the first aspect of the invention.
In a fourth aspect, the present invention provides a non-transitory computer readable storage medium having stored therein a computer software program for implementing a weibull universal spare part demand calculation method according to the first aspect of the present invention.
Drawings
FIG. 1 is a flow chart of a method for calculating the demand of a Wibber type universal spare part according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of an example simulation result provided in a first embodiment of the present invention;
fig. 3 is a diagram of a weibull general purpose spare part demand calculating device according to a second embodiment of the present invention.
Detailed Description
The principles and features of the present invention are described below with reference to the drawings, the examples are illustrated for the purpose of illustrating the invention and are not to be construed as limiting the scope of the invention.
The convention is made herein: a generic part is used in N pieces of equipment (number of columns 1), which may be of different types or different specifications, respectively, and the working time T planned each year in each piece of equipment is known i When the general part fails, the fault is removed by adopting a part replacement maintenance mode (the part replacement repair time is ignored). The spare parts warehouse needs to purchase the spare parts of the general part for one year, the number of the spare parts is recorded as S, and the spare parts meeting rate is required to be not lower than P1.
Example 1
As shown in fig. 1, the embodiment of the invention provides a weibull general spare part demand amount calculating method, which comprises the following steps:
s1, initializing the number S of spare parts, enabling S to be 0, approximating Weibull distribution W (A, B) to be gamma distribution Ga (a, B), enablingWhere Γ () is a gamma function,
S2，i＝1；
s3, calculating an array p1, wherein the array comprises S+1 elements, so that
Wherein T is i Representing the annual planned working time of the universal piece in the ith equipment, wherein i is more than or equal to 1 and less than or equal to N, and N is the total number of the equipment using the universal piece;
s4, if i is equal to 1, let p2=p1; otherwise, let p2=p1×p2, where×is the convolution symbol;
s5, let i=i+1, if i is less than or equal to N, jump to step S3, otherwise letThen jumping to step S6;
s6, judging P S Whether the spare part guarantee requirement is met, namely judging P S Whether or not it is smaller than the minimum spare part satisfaction rate P1, if P S Let s=s+1 and jump to step S2, otherwise terminate the calculation and output the current value of S as the final spare part demand, i.e.: the general spare part purchasing quantity in the year is S.
Calculation example
There is a generic part in each of the 4 different types of equipment, the lifetime of which obeys the weibull distribution W (260,3.3), and the working time of the generic part per year in the 4 pieces of equipment is predicted to be 400, 600, 800, 1000 hours. The warehouse storage capacity of the general spare parts for one year is calculated by adopting the method, so that the spare part satisfaction rate is not lower than 0.85.
Solution: 1) Initializing the number of spare parts, and enabling S=0; let a=8.9828, b= 339.16.
2) Calculating the spare part satisfaction rate P S 。
Table 1 lists the corresponding spare part satisfaction rates when the number of spare parts takes various values.
TABLE 1
3) When s=12, the spare part satisfaction rate P S And the spare part meeting rate is 0.963, and the spare part guarantee requirement that the spare part meeting rate is not lower than 0.85 is met.
4) The calculation was terminated and the warehouse storage capacity of the spare part for one year was 12.
In this example, if the conventional method is adopted (the own spare part demand of each equipment is calculated, and then the sum of all spare part numbers is taken as the final spare part demand), the total spare part demand of 4 pieces of equipment is 2, 3, 4 and 5, and 14 spare parts are required.
FIG. 2 shows the spare parts satisfaction rate of the method and the simulation method according to the present invention when the number of spare parts in the calculation example is from 0 to 15. A large number of simulation results show that: the error of the two is within the engineering application range.
Example two
As shown in fig. 3, the present invention provides a weibull universal spare part demand calculating apparatus, comprising:
an input module for setting the number of equipment N, the minimum spare part satisfaction rate P1 and the annual planned working time T of the general parts in each equipment i ，1≤i≤N；
The calculation module is used for calculating the demand of the spare parts of the general-purpose parts; the specific calculation method is as follows:
s1, initializing the number S of spare parts, enabling S to be 0, approximating Weibull distribution W (A, B) to be gamma distribution Ga (a, B), enablingWhere Γ () is a gamma function,
S2，i＝1；
s3, calculating an array p1, wherein the array comprises S+1 elements, so that
Wherein T is i Representing the annual planned working time of the universal piece in the ith equipment, wherein i is more than or equal to 1 and less than or equal to N, and N is the total number of the equipment using the universal piece;
s4, if i is equal to 1, let p2=p1; otherwise, let p2=p1×p2, where×is the convolution symbol;
s5, let i=i+1, if i is less than or equal to N, jump to step S3, otherwise letThen jumping to step S6;
s6, judging P S Whether the spare part guarantee requirement is met, namely judging P S Whether or not it is smaller than the minimum spare part satisfaction rate P1, if P S < P1, let S=S+1, and jump to stepS2, if not, stopping calculation and taking the current value of S as the final spare part demand;
and the output display module is used for outputting and displaying the final spare part demand calculated by the calculation module.
Example III
The embodiment of the invention provides a device for calculating the demand of a Wibber type general spare part, which is shown in fig. 3 and comprises the following components:
a memory for storing a computer software program;
and the processor is used for reading and executing the computer software program stored in the memory to realize the Weibull universal spare part demand quantity calculating method according to the first embodiment of the invention.
Example IV
The embodiment of the invention provides a non-transitory computer readable storage medium, wherein the storage medium stores a computer software program for realizing the weibull universal spare part demand quantity calculating method according to the embodiment of the invention.
From the above description of the embodiments, it will be apparent to those skilled in the art that the embodiments may be implemented by means of software plus necessary general hardware platforms, or of course may be implemented by means of hardware. Based on this understanding, the foregoing technical solution may be embodied essentially or in a part contributing to the prior art in the form of a software product, which may be stored in a computer readable storage medium, such as ROM/RAM, a magnetic disk, an optical disk, etc., including several instructions for causing a computer device (which may be a personal computer, a server, or a network device, etc.) to execute the method described in the respective embodiments or some parts of the embodiments.
The foregoing description of the preferred embodiments of the invention is not intended to limit the invention to the precise form disclosed, and any such modifications, equivalents, and alternatives falling within the spirit and scope of the invention are intended to be included within the scope of the invention.
Claims (4)
1. The Weibull general spare part demand quantity calculating method is characterized by comprising the following steps of:
s1, initializing the number S of spare parts, enabling S to be 0, approximating Weibull distribution W (A, B) to be gamma distribution Ga (a, B), enablingWhere Γ () is a gamma function,
S2，i＝1；
s3, calculating an array p1, wherein the array comprises S+1 elements, so that
Wherein T is i Representing the annual planned working time of the universal piece in the ith equipment, wherein i is more than or equal to 1 and less than or equal to N, and N is the total number of the equipment using the universal piece;
s4, if i is equal to 1, let p2=p1; otherwise, let p2=p1×p2, where×is the convolution symbol;
s5, let i=i+1, if i is less than or equal to N, jump to step S3, otherwise letThen jumping to step S6;
s6, judging P S Whether the spare part guarantee requirement is met, namely judging P S Whether or not it is smaller than the minimum spare part satisfaction rate P1, if P S Let s=s+1 and jump to step S2, otherwise terminate the calculation and output the current value of S as the final spare part demand.
2. A weibull general purpose spare part demand calculation apparatus, comprising:
an input module for setting the number of equipment N, the minimum spare part satisfaction rate P1 and the annual planned working time T of the general parts in each equipment i ，1≤i≤N；
The calculation module is used for calculating the demand of the spare parts of the general-purpose parts; the specific calculation method is as follows:
s1, initializing the number S of spare parts, enabling S to be 0, approximating Weibull distribution W (A, B) to be gamma distribution Ga (a, B), enablingWhere Γ () is a gamma function,
S2，i＝1；
s3, calculating an array p1, wherein the array comprises S+1 elements, so that
Wherein T is i Representing the annual planned working time of the universal piece in the ith equipment, wherein i is more than or equal to 1 and less than or equal to N, and N is the total number of the equipment using the universal piece;
s4, if i is equal to 1, let p2=p1; otherwise, let p2=p1×p2, where×is the convolution symbol;
s5, let i=i+1, if i is less than or equal to N, jump to step S3, otherwise letThen jumping to step S6;
s6, judging P S Whether the spare part guarantee requirement is met, namely judging P S Whether or not it is smaller than the minimum spare part satisfaction rate P1, if P S Let s=s+1 and jump to step S2, otherwise terminate the calculation and take the current value of S as the final spare part demand;
and the output display module is used for outputting and displaying the final spare part demand calculated by the calculation module.
3. A weibull general purpose spare part demand calculation apparatus, comprising:
a memory for storing a computer software program;
a processor for reading and executing the computer software program stored in the memory, to implement a weibull universal spare part demand calculating method according to claim 1.
4. A non-transitory computer readable storage medium, wherein the storage medium has stored therein a computer software program for implementing a weibull universal spare part demand calculation method as claimed in claim 1.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| US7318008B2 (en) * | 2006-02-28 | 2008-01-08 | Ford Motor Company | Method and system for estimating spare parts costs |
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| CN108509389A (en) * | 2018-03-25 | 2018-09-07 | 中国人民解放军海军工程大学 | A kind of spare parts demand amount computational methods of Weibull type series components |
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