CN108334050A - Redundancy not exclusively can maintenance system availability computational methods and device - Google Patents

Redundancy not exclusively can maintenance system availability computational methods and device Download PDF

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Publication number
CN108334050A
CN108334050A CN201711462198.5A CN201711462198A CN108334050A CN 108334050 A CN108334050 A CN 108334050A CN 201711462198 A CN201711462198 A CN 201711462198A CN 108334050 A CN108334050 A CN 108334050A
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exclusively
redundancy
maintenance system
matrix
various states
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CN108334050B (en
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耿岳
王玥
刘江江
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BEIJING DRAGON RESOURCES TECHNOLOGY Co Ltd
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BEIJING DRAGON RESOURCES TECHNOLOGY Co Ltd
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B23/00Testing or monitoring of control systems or parts thereof
    • G05B23/02Electric testing or monitoring
    • G05B23/0205Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults
    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F17/00Digital computing or data processing equipment or methods, specially adapted for specific functions
    • G06F17/10Complex mathematical operations
    • G06F17/16Matrix or vector computation, e.g. matrix-matrix or matrix-vector multiplication, matrix factorization

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  • General Engineering & Computer Science (AREA)
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Abstract

The invention discloses a kind of redundancy not exclusively can maintenance system availability computational methods and device.Wherein, this method includes:Define the various states in automatic control system, wherein various states include:All normal, the normal and whole failure in part;The probability of the conversion in automatic control system between various states is calculated according to the crash rate obtained in advance and maintenance rate;The probability of the conversion between various states is calculated according to default design conditions, obtaining redundancy not exclusively can maintenance system availability.The present invention solve due to lack in the prior art redundancy not exclusively can maintenance system availability computational methods, the redundancy of caused system not exclusively can maintenance system availability dyscalculia the technical issues of.

Description

Redundancy not exclusively can maintenance system availability computational methods and device
Technical field
The present invention relates to automatic control technology field, in particular to a kind of redundancy not exclusively can maintenance system it is available The computational methods and device of rate.
Background technology
Currently, automatic control system is widely used in many key areas such as oil, natural gas, chemical industry, fire-fighting.System The availability of system directly affects the difficulty of construction of engineering site, the economic interests of project progress and user.Therefore, in order to improve The availability of system, it will usually using the technical solution of system redundancy configuration.Failure may be implemented certainly under redundant configuration in system Dynamic switching, while can also realize the replacement or repair of malfunctioning module.The availability for just substantially increasing system in this way, extends Mean time before failure (Mean Time To Failure, abbreviation MTTF).High Availabitity rate system reduces for field engineering personnel Difficulty of construction, reduces unnecessary parking, ensure that project progress, it is ensured that the economic interests of user.
Although currently, there is the document of the computational methods of many relational system availabilitys, it can not exclusively be tieed up about redundancy Repairing the computational methods of the availability of system, there are no pertinent literatures.
For it is above-mentioned due to lack in the prior art redundancy not exclusively can maintenance system availability computational methods, cause System redundancy not exclusively can maintenance system availability dyscalculia the problem of, at present not yet propose effective solution side Case.
Invention content
An embodiment of the present invention provides a kind of redundancy not exclusively can maintenance system availability computational methods and device so that It is few solve due to lack in the prior art redundancy not exclusively can maintenance system availability computational methods, caused system it is superfluous It is remaining not exclusively can maintenance system availability dyscalculia the technical issues of.
One side according to the ... of the embodiment of the present invention, provide a kind of redundancy not exclusively can maintenance system availability calculating Method, including:Define the various states in automatic control system, wherein various states include:All normal, part it is normal and Whole failures;The general of the conversion in automatic control system between various states is calculated according to the crash rate obtained in advance and maintenance rate Rate;Calculate the probability of the conversion between various states according to design conditions are preset, obtain redundancy not exclusively can maintenance system it is available Rate.
Optionally, the various states in definition automatic control system include:By all normal and parts in various states Normally it is divided into available mode;Whole failures in various states are divided into down state.
Further, optionally, the probability that the conversion between various states is calculated according to default design conditions, obtains redundancy Not exclusively can maintenance system availability include:Remove whole failures pair in various states according to the corresponding state-transition matrix of probability The matrix row and column answered, obtains Level Matrix;Level Matrix is subtracted by unit matrix, obtains matrix N;The inverse matrix of calculating matrix N, Obtain inverse matrix N-1;The mean time before failure in automatic control system is calculated according to inverse matrix, and when according to before mean failure rate Between obtain redundancy not exclusively can maintenance system availability.
Optionally, according to inverse matrix calculate automatic control system in mean time before failure, and according to mean failure rate before Time obtain redundancy not exclusively can maintenance system availability include:The sum of the first row each element in inverse matrix N-1 is extracted, is obtained Mean time before failure;According to mean time before failure obtain redundancy not exclusively can maintenance system availability include:
Wherein, A be redundancy not exclusively can maintenance system availability, MTTR is mean time to restoration.
Other side according to the ... of the embodiment of the present invention, provide a kind of redundancy not exclusively can maintenance system availability meter Device is calculated, including:Definition module, for defining the various states in automatic control system, wherein various states include:All Normally, the normal and whole failure in part;First computing module, it is automatic for being calculated according to the crash rate and maintenance rate that obtain in advance The probability of conversion in control system between various states;Second computing module, for various according to design conditions calculating is preset The probability of conversion between state, obtaining redundancy not exclusively can maintenance system availability.
Optionally, definition module includes:First taxon, for will be in various states all normally and part is normal It is divided into available mode;Second taxon, for whole failures in various states to be divided into down state.
Further, optionally, which is characterized in that the second computing module includes:Second computing unit, for according to probability Corresponding state-transition matrix removes the corresponding matrix row and column of whole failure in various states, obtains Level Matrix;Third calculates Unit subtracts Level Matrix for passing through unit matrix, obtains matrix N;4th computing unit is used for the inverse matrix of calculating matrix N, Obtain inverse matrix N-1;5th computing unit, for calculating the mean time before failure in automatic control system according to inverse matrix, and Obtaining redundancy according to mean time before failure not exclusively can maintenance system availability.
Optionally, the 5th computing unit includes:Subelement is extracted, for extracting inverse matrix N-1In the first row each element it With obtain mean time before failure;Computation subunit is for obtaining redundancy according to mean time before failure and can not exclusively repair System availability include:
Wherein, A be redundancy not exclusively can maintenance system availability, MTTR is mean time to restoration.
Another aspect according to the ... of the embodiment of the present invention, additionally provides a kind of storage medium, and the storage medium includes storage Program, wherein equipment where controlling the storage medium when described program is run executes above-mentioned redundancy and can not exclusively repair The computational methods of system availability.
Another aspect according to the ... of the embodiment of the present invention additionally provides a kind of processor, and the processor is used to run program, Wherein, described program run when execute above-mentioned redundancy not exclusively can maintenance system availability computational methods.
In embodiments of the present invention, it by the way of being analyzed using Markov model, is automatically controlled by definition Various states in system, wherein various states include:All normal, the normal and whole failure in part;According to what is obtained in advance Crash rate and maintenance rate calculate the probability of the conversion in automatic control system between various states;It is calculated according to design conditions are preset The probability of conversion between various states, obtain redundancy not exclusively can maintenance system availability, it is simple to have reached computational methods, directly See, quick purpose, to realize the redundancy of computing system not exclusively can maintenance system availability technique effect, in turn Solve due to lack in the prior art redundancy not exclusively can maintenance system availability computational methods, caused system it is superfluous It is remaining not exclusively can maintenance system availability dyscalculia the technical issues of.
Description of the drawings
Attached drawing described herein is used to provide further understanding of the present invention, and is constituted part of this application, this hair Bright illustrative embodiments and their description are not constituted improper limitations of the present invention for explaining the present invention.In the accompanying drawings:
Fig. 1 be redundancy according to the ... of the embodiment of the present invention not exclusively can maintenance system availability computational methods flow signal Figure;
Fig. 2 is that redundancy according to the ... of the embodiment of the present invention not exclusively can 2 redundancies in the computational methods of maintenance system availability The structural schematic diagram of system;
Fig. 3, which is redundancy according to the ... of the embodiment of the present invention, state can not exclusively shift in the computational methods of maintenance system availability Structural schematic diagram;
Fig. 4 be redundancy according to the ... of the embodiment of the present invention not exclusively can maintenance system availability computing device structural representation Figure.
Specific implementation mode
In order to enable those skilled in the art to better understand the solution of the present invention, below in conjunction in the embodiment of the present invention Attached drawing, technical scheme in the embodiment of the invention is clearly and completely described, it is clear that described embodiment is only The embodiment of a part of the invention, instead of all the embodiments.Based on the embodiments of the present invention, ordinary skill people The every other embodiment that member is obtained without making creative work should all belong to the model that the present invention protects It encloses.
It should be noted that term " first " in description and claims of this specification and above-mentioned attached drawing, " Two " etc. be for distinguishing similar object, without being used to describe specific sequence or precedence.It should be appreciated that using in this way Data can be interchanged in the appropriate case, so as to the embodiment of the present invention described herein can in addition to illustrating herein or Sequence other than those of description is implemented.In addition, term " comprising " and " having " and their any deformation, it is intended that cover It includes to be not necessarily limited to for example, containing the process of series of steps or unit, method, system, product or equipment to cover non-exclusive Those of clearly list step or unit, but may include not listing clearly or for these processes, method, product Or the other steps or unit that equipment is intrinsic.
This application involves technical term:
Mean time before failure:Mean Time To Failure, abbreviation MTTF;
Mean time to restoration:Mean time to restoration, abbreviation MTTR.
Embodiment one
According to embodiments of the present invention, provide a kind of redundancy not exclusively can the computational methods of maintenance system availability implement Example, it should be noted that step shown in the flowchart of the accompanying drawings can be in the calculating of such as a group of computer-executable instructions It is executed in machine system, although also, logical order is shown in flow charts, and it in some cases, can be to be different from Sequence herein executes shown or described step.
Fig. 1 be redundancy according to the ... of the embodiment of the present invention not exclusively can maintenance system availability computational methods flow signal Figure, as shown in Figure 1, this method comprises the following steps:
Step S102 defines the various states in automatic control system, wherein various states include:All normal, part Normal and whole failures;
Step S104 is calculated in automatic control system according to the crash rate obtained in advance and maintenance rate between various states The probability of conversion;
Step S106 calculates the probability of the conversion between various states according to default design conditions, it is incomplete to obtain redundancy It can maintenance system availability.
In embodiments of the present invention, it by the way of being analyzed using Markov model, is automatically controlled by definition Various states in system, wherein various states include:All normal, the normal and whole failure in part;According to what is obtained in advance Crash rate and maintenance rate calculate the probability of the conversion in automatic control system between various states;It is calculated according to design conditions are preset The probability of conversion between various states, obtain redundancy not exclusively can maintenance system availability, it is simple to have reached computational methods, directly See, quick purpose, to realize the redundancy of computing system not exclusively can maintenance system availability technique effect, in turn Solve due to lack in the prior art redundancy not exclusively can maintenance system availability computational methods, caused system it is superfluous It is remaining not exclusively can maintenance system availability dyscalculia the technical issues of.
Specifically, redundancy provided by the present application not exclusively can maintenance system availability computational methods to be suitable for 2 redundancies It is illustrated for system, it is specific as follows:
Optionally, the various states in definition automatic control system include:By all normal and parts in various states Normally it is divided into available mode;Whole failures in various states are divided into down state.
Optionally, it is calculated in automatic control system according to the crash rate obtained in advance and maintenance rate and is turned between various states The probability changed includes:The probability converted between corresponding states is calculated according to crash rate and maintenance rate.
Here include with various states:It is illustrated for all normal, the normal and whole failure in part, wherein superfluous 2 The probability of all conversions normally, between the normal and whole failure in part is calculated in remaining system according to crash rate and maintenance rate, In, probability includes:
P is probability, and probability is n rank state-transition matrixes;λ is crash rate;μ is maintenance rate, and P is for indicating from whole just Often, the probability of the conversion between the normal and whole failure in part.
Further, optionally, the probability that the conversion between various states is calculated according to default design conditions, obtains redundancy Not exclusively can maintenance system availability include:Remove whole failures pair in various states according to the corresponding state-transition matrix of probability The matrix row and column answered, obtains Level Matrix;Level Matrix is subtracted by unit matrix, obtains matrix N;The inverse matrix of calculating matrix N, Obtain inverse matrix N-1;The mean time before failure in automatic control system is calculated according to inverse matrix, and when according to before mean failure rate Between obtain redundancy not exclusively can maintenance system availability.
Optionally, Level Matrix includes:
Further, optionally, according to the mathematical relationship between unit matrix and Level Matrix, matrix N is obtained, wherein square Battle array N include:
Optionally, the inverse matrix of calculating matrix N obtains inverse matrix N-1;Wherein, inverse matrix N-1Including:
Further, optionally, the mean time before failure in automatic control system is calculated according to inverse matrix, and according to flat Equal time before failure obtain redundancy not exclusively can in maintenance system availability,
Mean time before failure includes:
Wherein, MTTF is mean time before failure, takes inverse matrix N-1In the first row each element it With obtain mean time before failure;
Redundancy not exclusively can maintenance system availability include:
Wherein, A be redundancy not exclusively can maintenance system availability, MTTR is mean time to restoration.
To sum up, redundancy provided by the embodiments of the present application not exclusively can maintenance system availability computational methods it is specific as follows:
First, the various states of automatic control system are defined, the shape of normal operation, partial fault and whole failures is included State.Here it is available mode which, which to be specified, which is down state.
For the system of 2 redundancies, can not exclusively it be repaired as shown in Fig. 2, Fig. 2 is redundancy according to the ... of the embodiment of the present invention The structural schematic diagram of the system of 2 redundancies in the computational methods of system availability, as long as there are one units to work normally, system is overall It can work normally.Therefore, three kinds of states be can define:
State 0:2 units are all normal;
State 1:1 cell failure, a unit are normal;
State 2:Two units all failures.
Wherein state 2 is down state, state 0 and 1 available mode.Since there are an absorbing state (states for system 2), so system is not exclusively can maintenance system.Specifically as shown in figure 3, Fig. 3 is that redundancy according to the ... of the embodiment of the present invention is incomplete It can state shifts in the computational methods of maintenance system availability structural schematic diagram.
Then, the probability converted between each state of system is calculated according to crash rate and maintenance rate, is obtained n scalariform states and is turned Move matrix P.
The row and column for removing absorbing state (state 2) obtains Level Matrix Q:
Level Matrix Q, which is subtracted, with unit matrix I obtains matrix N:
At this point, seeking the inverse matrix N of N-1
N-11st row of matrix represents total incremental time since state 0 ing, the 2nd row represent since state 1 always Incremental time.Under normal conditions, system initial state is state 0, i.e. two units are normal.So the MTTF of system is the 1st The sum of each element of row.And then it is as follows to obtain MTTF:
Wherein, availability A is indicated as follows:
Redundancy provided by the embodiments of the present application not exclusively can the computational methods of maintenance system availability through the above steps may be used With obtain redundancy not exclusively can maintenance system availability, the computational methods are simple, intuitively, fast.
It should be noted that redundancy provided by the present application not exclusively can maintenance system availability computational methods only with above-mentioned It is illustrated for preferable example in 2 redundant systems, to realize that redundancy provided by the present application not exclusively can maintenance system availability Subject to computational methods, do not limit specifically.
Embodiment two
Another aspect according to the ... of the embodiment of the present invention, additionally provide a kind of redundancy not exclusively can maintenance system availability meter Calculate device, Fig. 4 be redundancy according to the ... of the embodiment of the present invention not exclusively can maintenance system availability computing device structural representation Figure, as shown in figure 4, the computing device includes:
Definition module 42, for defining the various states in automatic control system, wherein various states include:All just Often, the normal and whole failure in part;First computing module 44, it is automatic for being calculated according to the crash rate and maintenance rate that obtain in advance The probability of conversion in control system between various states;Second computing module 46, for each according to design conditions calculating is preset The probability of conversion between kind state, obtaining redundancy not exclusively can maintenance system availability.
In embodiments of the present invention, it by the way of being analyzed using Markov model, is automatically controlled by definition Various states in system, wherein various states include:All normal, the normal and whole failure in part;According to what is obtained in advance Crash rate and maintenance rate calculate the probability of the conversion in automatic control system between various states;It is calculated according to design conditions are preset The probability of conversion between various states, obtain redundancy not exclusively can maintenance system availability, it is simple to have reached computational methods, directly See, quick purpose, to realize the redundancy of computing system not exclusively can maintenance system availability technique effect, in turn Solve due to lack in the prior art redundancy not exclusively can maintenance system availability computational methods, caused system it is superfluous It is remaining not exclusively can maintenance system availability dyscalculia the technical issues of.
Optionally, definition module 42 includes:First taxon is used for all normal and part in various states just Often it is divided into available mode;Second taxon, for whole failures in various states to be divided into down state.
Further, optionally, which is characterized in that the second computing module 46 includes:Second computing unit, for according to general The corresponding state-transition matrix of rate removes the corresponding matrix row and column of whole failure in various states, obtains Level Matrix;Third meter Unit is calculated, Level Matrix is subtracted for passing through unit matrix, obtains matrix N;4th computing unit is used for the inverse square of calculating matrix N Battle array, obtains inverse matrix N-1;5th computing unit, when for according to before the mean failure rate in inverse matrix calculating automatic control system Between, and obtaining redundancy according to mean time before failure not exclusively can maintenance system availability.
Optionally, the 5th computing unit includes:Subelement is extracted, for extracting inverse matrix N-1In the first row each element it With obtain mean time before failure;Computation subunit is for obtaining redundancy according to mean time before failure and can not exclusively repair System availability include:
Wherein, A be redundancy not exclusively can maintenance system availability, MTTR is mean time to restoration.
Embodiment three
Another aspect according to the ... of the embodiment of the present invention, additionally provides a kind of storage medium, and the storage medium includes storage Program, wherein equipment where controlling the storage medium when described program is run executes the redundancy in above-described embodiment one Not exclusively can maintenance system availability computational methods.
Example IV
Another aspect according to the ... of the embodiment of the present invention additionally provides a kind of processor, and the processor is used to run program, Wherein, executed when described program is run redundancy in above-described embodiment one not exclusively can maintenance system availability computational methods.
The embodiments of the present invention are for illustration only, can not represent the quality of embodiment.
In the above embodiment of the present invention, all emphasizes particularly on different fields to the description of each embodiment, do not have in some embodiment The part of detailed description may refer to the associated description of other embodiment.
In several embodiments provided herein, it should be understood that disclosed technology contents can pass through others Mode is realized.Wherein, the apparatus embodiments described above are merely exemplary, for example, the unit division, Ke Yiwei A kind of division of logic function, formula that in actual implementation, there may be another division manner, such as multiple units or component can combine or Person is desirably integrated into another system, or some features can be ignored or not executed.Another point, shown or discussed is mutual Between coupling, direct-coupling or communication connection can be INDIRECT COUPLING or communication link by some interfaces, unit or module It connects, can be electrical or other forms.
The unit illustrated as separating component may or may not be physically separated, aobvious as unit The component shown may or may not be physical unit, you can be located at a place, or may be distributed over multiple On unit.Some or all of unit therein can be selected according to the actual needs to achieve the purpose of the solution of this embodiment.
In addition, each functional unit in each embodiment of the present invention can be integrated in a processing unit, it can also It is that each unit physically exists alone, it can also be during two or more units be integrated in one unit.Above-mentioned integrated list The form that hardware had both may be used in member is realized, can also be realized in the form of SFU software functional unit.
If the integrated unit is realized in the form of SFU software functional unit and sells or use as independent product When, it can be stored in a computer read/write memory medium.Based on this understanding, technical scheme of the present invention is substantially The all or part of the part that contributes to existing technology or the technical solution can be in the form of software products in other words It embodies, which is stored in a storage medium, including some instructions are used so that a computer Equipment (can be personal computer, server or network equipment etc.) execute each embodiment the method for the present invention whole or Part steps.And storage medium above-mentioned includes:USB flash disk, read-only memory (ROM, Read-Only Memory), arbitrary access are deposited Reservoir (RAM, Random Access Memory), mobile hard disk, magnetic disc or CD etc. are various can to store program code Medium.
The above is only a preferred embodiment of the present invention, it is noted that for the ordinary skill people of the art For member, various improvements and modifications may be made without departing from the principle of the present invention, these improvements and modifications are also answered It is considered as protection scope of the present invention.

Claims (8)

1. a kind of redundancy not exclusively can maintenance system availability computational methods, which is characterized in that including:
Define the various states in automatic control system, wherein the various states include:It is all normal, partly normal and complete Portion's failure;
The conversion between various states described in the automatic control system is calculated according to the crash rate and maintenance rate that obtain in advance Probability;
The probability of the conversion between the various states is calculated according to default design conditions, obtaining redundancy not exclusively can maintenance system Availability.
2. redundancy according to claim 1 not exclusively can maintenance system availability computational methods, which is characterized in that it is described Define automatic control system in various states include:
All normally and partly it will normally be divided into available mode in the various states;
Whole failures in the various states are divided into down state.
3. redundancy according to claim 1 not exclusively can maintenance system availability computational methods, which is characterized in that it is described Calculate the probability of the conversion between the various states according to design conditions are preset, obtain redundancy not exclusively can maintenance system it is available Rate includes:
Remove the corresponding matrix row and column of whole failure in the various states according to the corresponding state-transition matrix of the probability, Obtain Level Matrix;
The Level Matrix is subtracted by unit matrix, obtains matrix N;
The inverse matrix for calculating the matrix N obtains the inverse matrix N-1
Calculate the mean time before failure in the automatic control system according to the inverse matrix, and according to the mean failure rate before Time obtains the redundancy not exclusively can maintenance system availability.
4. redundancy according to claim 3 not exclusively can maintenance system availability computational methods, which is characterized in that it is described The mean time before failure in the automatic control system is calculated according to the inverse matrix, and according to the mean time before failure Obtain the redundancy not exclusively can maintenance system availability include:
Extract the inverse matrix N-1In the sum of the first row each element, obtain the mean time before failure;
According to the mean time before failure obtain the redundancy not exclusively can maintenance system availability include:
Wherein, A be the redundancy not exclusively can maintenance system availability, MTTR is mean time to restoration.
5. a kind of redundancy not exclusively can maintenance system availability computing device, which is characterized in that including:
Definition module, for defining the various states in automatic control system, wherein the various states include:All normal, The normal and whole failures in part;
First computing module, it is each described in the automatic control system for being calculated according to the crash rate and maintenance rate that obtain in advance The probability of conversion between kind state;
Second computing module, the probability for calculating the conversion between the various states according to default design conditions, obtains superfluous It is remaining not exclusively can maintenance system availability.
6. redundancy according to claim 5 not exclusively can maintenance system availability computing device, which is characterized in that it is described Definition module includes:
First taxon, for all normally and partly will normally be divided into available mode in the various states;
Second taxon, for whole failures in the various states to be divided into down state.
7. redundancy according to claim 5 not exclusively can maintenance system availability computing device, which is characterized in that it is described Second computing module includes:
Second computing unit, for removing whole failures in the various states according to the corresponding state-transition matrix of the probability Corresponding matrix row and column, obtains Level Matrix;
Third computing unit subtracts the Level Matrix for passing through unit matrix, obtains matrix N;
4th computing unit, the inverse matrix for calculating the matrix N obtain the inverse matrix N-1
5th computing unit, for calculating the mean time before failure in the automatic control system according to the inverse matrix, and Obtaining the redundancy according to the mean time before failure not exclusively can maintenance system availability.
8. redundancy according to claim 7 not exclusively can maintenance system availability computing device, which is characterized in that it is described 5th computing unit includes:
Subelement is extracted, for extracting the inverse matrix N-1In the sum of the first row each element, when obtaining before the mean failure rate Between;
Computation subunit, not exclusively can maintenance system availability packet for obtaining the redundancy according to the mean time before failure It includes:
Wherein, A be the redundancy not exclusively can maintenance system availability, MTTR is mean time to restoration.
CN201711462198.5A 2017-12-28 2017-12-28 Method and device for calculating availability of redundant incomplete maintainable system Active CN108334050B (en)

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Publication number Priority date Publication date Assignee Title
CN102819259A (en) * 2011-06-09 2012-12-12 清华大学 Functional security verification method for safety instrument based on Markov process
CN104361169A (en) * 2014-11-12 2015-02-18 武汉科技大学 Method for monitoring reliability of modeling based on decomposition method
CN106056273A (en) * 2016-05-19 2016-10-26 哈尔滨工程大学 Redundant electric pump body failure reliability monitoring method based on fault tree
CN106452939A (en) * 2016-08-03 2017-02-22 哈尔滨工程大学 Method for assessing availability of computing resource of cloud computing system in consideration of redundant fault-tolerant recovery
CN106777745A (en) * 2016-12-28 2017-05-31 中国航空工业集团公司西安飞机设计研究所 A kind of security assessment method based on markov

Patent Citations (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN102819259A (en) * 2011-06-09 2012-12-12 清华大学 Functional security verification method for safety instrument based on Markov process
CN104361169A (en) * 2014-11-12 2015-02-18 武汉科技大学 Method for monitoring reliability of modeling based on decomposition method
CN106056273A (en) * 2016-05-19 2016-10-26 哈尔滨工程大学 Redundant electric pump body failure reliability monitoring method based on fault tree
CN106452939A (en) * 2016-08-03 2017-02-22 哈尔滨工程大学 Method for assessing availability of computing resource of cloud computing system in consideration of redundant fault-tolerant recovery
CN106777745A (en) * 2016-12-28 2017-05-31 中国航空工业集团公司西安飞机设计研究所 A kind of security assessment method based on markov

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