CN108228382B - Data recovery method for single-disk fault of EVENODD code - Google Patents

Data recovery method for single-disk fault of EVENODD code Download PDF

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CN108228382B
CN108228382B CN201810027966.2A CN201810027966A CN108228382B CN 108228382 B CN108228382 B CN 108228382B CN 201810027966 A CN201810027966 A CN 201810027966A CN 108228382 B CN108228382 B CN 108228382B
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data
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redundant
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disks
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唐聃
萧枫
范迪
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Chengdu University of Information Technology
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    • GPHYSICS
    • G06COMPUTING; CALCULATING OR COUNTING
    • G06FELECTRIC DIGITAL DATA PROCESSING
    • G06F11/00Error detection; Error correction; Monitoring
    • G06F11/07Responding to the occurrence of a fault, e.g. fault tolerance
    • G06F11/08Error detection or correction by redundancy in data representation, e.g. by using checking codes
    • G06F11/10Adding special bits or symbols to the coded information, e.g. parity check, casting out 9's or 11's
    • G06F11/1076Parity data used in redundant arrays of independent storages, e.g. in RAID systems

Abstract

The invention discloses a data recovery method for single-disk faults of EVENODD codes, and belongs to the technical field of computer information storage and recovery. The method is based on the existing EVENODD coding, and the EVENODD comprising p data disks is selected as the former
Figure DDA0001545565690000011
Carrying out XOR calculation on the data disks, and storing the XOR result into a new redundant disk, wherein the redundant disk is defined as a local redundant disk; when the data disk fails, corresponding data recovery is carried out according to the position of the data disk; and when the redundant disk fails, performing corresponding data recovery according to the type of the redundant disk. The method utilizes the newly added local redundant disk to reduce the number of disks related to a single data disk. The number of disk reading is reduced during data recovery, the data reading overhead is low, the data recovery efficiency is high, and the single-disk failure recovery algorithm is superior to the traditional EVENODD code single-disk failure recovery algorithm.

Description

Data recovery method for single-disk fault of EVENODD code
Technical Field
The invention relates to the technical field of computer information storage and recovery, in particular to a data recovery algorithm for an EVENODD code single-disk fault.
Background
In recent years, with the rapid development of society and technology, the amount of data in databases is increasing at an explosive rate, and thus the scale of storage systems is also increasing. As the scale increases, the problems faced with the stability of storage systems also increase. The main expression is that as the number of disks increases, the probability of data loss caused by disk failure also increases. Data recovery is required to ensure that the data remains intact even after a disk failure. Therefore, the time for data recovery and the amount of data that needs to be read for the recovery process become critical to system stability.
EVENODD codes proposed in the document (EVENODD: an effective scheme for completing double disk failures in RAID architecture) are a type of array codes which are commonly used in storage systems and are tolerant to two errors. The principle is mainly to ensure the integrity of data by adding two extra redundant disks. The EVENODD code can correctly recover the original data after any two data disks fail. For EVENODD coding, the advantages are simple structure, and fast speed because the coding and decoding process is based on XOR operation. However, one of the main disadvantages is that the single-disk failure recovery requires too much data to be read, all the remaining original data needs to be read, the data reading time is long, and the data recovery efficiency is low.
Disclosure of Invention
Based on the above, the technical problem to be solved by the present invention is to provide a new data recovery method for single disc failure of an event odd code, aiming at the defects of long data recovery time and low recovery efficiency of the single disc failure of the existing event odd code, wherein the storage overhead of the algorithm is slightly larger than that of the traditional event odd code, but the reading overhead of the single disc failure recovery is only about 50% of that of the existing event odd code, the data recovery time is short, and the recovery efficiency is high.
The overall principle of the data recovery method provided by the invention is as follows: taking the front of the EVENODD code
Figure BDA0001545565670000021
And carrying out XOR calculation on the data disks, and storing the XOR result into a new redundant disk, wherein the new redundant disk is defined as a local redundant disk. When a single disk has data failure, corresponding data recovery is carried out according to the position or the type of the failed disk. If the data disk fails, corresponding data recovery is carried out according to the position of the data disk; and if the redundant disk fails, performing corresponding data recovery according to the type of the redundant disk.
The data recovery method comprises the following steps:
(1) firstly, encoding the EVENODD comprising p data disks and two redundant disks, and taking the encoded EVENODDFront side
Figure BDA0001545565670000022
Performing exclusive-or calculation on the data disks, wherein p is the number of the data disks, the value of p is a prime number, and the two redundant disks are a horizontal redundant disk and a diagonal redundant disk respectively;
(2) storing the result of the exclusive or into a new redundant disk, wherein the redundant disk is defined as a local redundant disk, and the calculation formula is as follows:
Figure BDA0001545565670000023
ai,jfor a data block in the disk array, i, j is the row-column coordinate of the data block;
(3) when a single data disk has data failure (data loss), performing failure recovery according to the position of the failed data disk;
(4) when a data failure (data loss) occurs in a single redundant disk, failure recovery is performed according to the type of the failed redundant disk.
Specifically, the step (3) includes the following steps:
firstly, judging the position of a data disk with data failure, and dividing the situation into the situation that the failure occurs before
Figure BDA0001545565670000031
A data disk and a back disk
Figure BDA0001545565670000032
Two cases of a data disk;
② if the data disk with data failure is positioned in front
Figure BDA0001545565670000033
In a data disk, before reading
Figure BDA0001545565670000034
Carrying out the difference on the data of the intact disk and the local redundant disk in each diskOr calculating to obtain data, namely the data of the disk with the data failure, setting the data disk with the data failure as e, and setting a data recovery formula as follows;
Figure BDA0001545565670000035
ai,jfor a data block in the disk array, i, j is the row-column coordinate of the data block;
third, if the data disk with data failure is behind
Figure BDA0001545565670000036
In one disk, then read later
Figure BDA0001545565670000037
Performing exclusive-or calculation on data of a complete disk, a horizontal redundant disk and a local redundant disk in each data disk to obtain data, namely the data disk of the disk with the data fault, setting the data disk with the data fault as e, wherein a data recovery formula is as follows:
Figure BDA0001545565670000038
ai,jfor a data block in the disk array, i, j is the row and column coordinates of the data block
Specifically, the step (4) includes the following steps:
firstly, judging the type of a failed redundant disk, and dividing the type into three conditions:
if the disk with data failure is horizontal redundant disk, then after reading
Figure BDA0001545565670000039
Performing exclusive-or calculation on the data of the data disks and the local redundant disk to obtain data, namely the horizontal redundant disk data with data failure, wherein the data recovery formula is as follows:
Figure BDA0001545565670000041
ai,jfor a data block in the disk array, i, j is the row-column coordinate of the data block;
if the data failure occurs in the diagonal redundant disk, the data in all the data disks needs to be read for exclusive-or calculation, and the calculation formula is as follows:
Figure BDA0001545565670000042
Figure BDA0001545565670000043
ai,jfor a data block in the disk array, i, j is the row-column coordinate of the data block;
if the data failure occurs to the local redundant disk, before reading
Figure BDA0001545565670000044
Performing exclusive-or calculation on the data disks to obtain data, namely the data of the local redundant disk with the data failure, wherein the calculation formula is the same as the formula in the step (2), and specifically is as follows:
Figure BDA0001545565670000045
ai,jfor a data block in the disk array, i, j is the row and column coordinates of the data block
The method utilizes the newly added local redundant disk to reduce the number of disks related to a single data disk. The recovery algorithm reduces the number of disk reads, and is superior to the traditional EVENODD single-disk failure recovery algorithm in time and space.
Generally, the data recovery method can comprehensively evaluate the storage overhead, the recovery reading overhead, the system stability and the correctness. The storage overhead can be reduced by comparing the size required for encodingCompared with the existing EVENODD, the algorithm adds one more redundant column (local redundant disk), but in practice, the value of p is often large, and the added storage overhead can be almost ignored; the recovery reading overhead index can be observed by the number of file blocks which need to be read for recovering the same type of errors, because the probability of the data disk failing is greater than that of the redundant disk, so to speak, the probability is far greater, and when p tends to be infinite, the single-disk failure overhead approaches to the infinite
Figure BDA0001545565670000051
Therefore, the reading overhead can be reduced by 50% theoretically, and the recovery efficiency is high. The stability of a system in a disk array is often determined by the failure recovery time of a single disk, and the shorter the data recovery time is, the lower the probability of generating multiple errors is; because the number of the read data blocks is reduced, the recovery time of the algorithm is also reduced, and the system stability is improved; finally, because the first p +2 columns of the algorithm reserve the EVENODD codes, any two errors can be recovered, and the decoding correctness is ensured. Therefore, the data failure recovery method provided by the invention is excellent.
According to the method, the beneficial effects of the invention are as follows:
1. the problem that the reading overhead of the single-disk fault recovery of the existing EVENODD code is too high is solved; the invention is based on the improvement of the EVENODD single disk fault recovery, and the EVENODD coding method is a coding mode with simple algorithm and high efficiency based on XOR operation. However, the EVENODD has a significant disadvantage that, when a single disk fails, all data is needed to be used in recovery, and the reading overhead is very large. According to the data recovery method provided by the invention, as the local redundant disk is added, the number of disks related to a single data disk is reduced to half, and the reading overhead is effectively reduced.
2. The overall stability of the system is improved; most disk failures in array storage systems are single disk failures, and system stability depends on recovery time and read overhead of the single disk failure. The data recovery method provided by the invention reduces the number of the disks participating in the operation, thereby not only reducing the reading overhead, but also saving the operation time, further improving the recovery efficiency and further indirectly improving the overall stability of the system.
Drawings
FIG. 1 is a schematic diagram of a prior art EVENODD (5, 7) encoded disk array model;
FIG. 2 is a schematic diagram of the data algorithm for the horizontal redundant disk and the diagonal redundant disk in FIG. 1:
FIG. 3 is a schematic diagram of an EVENODD (5, 7) encoded disk array model after modification in accordance with the present invention;
FIG. 4 is a schematic structural diagram of the EVENODD (5, 7) encoded disk array model when a data failure occurs in the first data disk;
FIG. 5 is a schematic structural diagram of the EVENODD (5, 7) encoded disk array model when a data failure occurs in the third data disk;
FIG. 6 is a schematic structural diagram of a horizontal redundant disk in an EVENODD (5, 7) encoded disk array model when a failure occurs;
Detailed Description
Embodiments of the present invention will be described in detail below with reference to the accompanying drawings.
The described embodiments of the invention are only some embodiments of the invention, and not all embodiments. For the purpose of illustration, only some, but not all, aspects relevant to the present invention are shown in the drawings.
The data failure described in the following embodiments may also be referred to as data loss, and all data failures and data losses occurring in this specification are interpreted as the same; similarly, the same explanations apply to failure and loss.
The invention is explained by taking the existing EVENODD (5, 7) structure as a reference, wherein the EVENODD (5, 7) structure comprises 5 data disks, namely p is 5; and 2 redundant disks are respectively a horizontal redundant disk and a diagonal redundant disk.
In general, the value of p is large, often greater than 100, and for convenience of describing the operation mode of the present invention, in this embodiment, only the example where p is 5 is taken as an example, and when p is another value, the operation mode may refer to the example where p is 5.
Referring to fig. 1-2, fig. 1 is a schematic diagram of a conventional EVENODD (5, 7) disk array structure, and fig. 2 is a schematic diagram of a corresponding algorithm; disk 0-Disk 4 are 5 data disks grouped together in an array, Disk 5-Disk 6 are 2 redundant disks grouped together, wherein Disk5 is a horizontal redundant Disk, and Disk6 is a diagonal redundant Disk.
The data algorithm of the horizontal redundant disk is
Figure BDA0001545565670000071
The data algorithm of the diagonal redundant disk is
Figure BDA0001545565670000072
Wherein the content of the first and second substances,
Figure BDA0001545565670000073
i=0,1...3;
ai,jfor a data block in the disk array, i, j is the row and column coordinates of the data block.
Fig. 3 is a schematic diagram of a modified EVENODD (5, 7) Disk array structure of the present invention, and compared with fig. 1, it can be known that a redundant Disk is added to the modified EVENODD (5, 7) Disk array, that is, a local redundant Disk, that is, a Disk7 shown in fig. 3, is added on the basis of the existing horizontal redundant Disk and diagonal redundant Disk.
The data of the local redundant Disk is obtained by performing exclusive-or calculation on the data in the first 2 data disks, namely performing exclusive-or by using the data in Disk0 and Disk 1;
the calculation formula is as follows:
Figure BDA0001545565670000074
i=0,1...3。
referring to fig. 4, in the drawing, x represents occurrence of data failure, and o represents data integrity. When the Disk0 fails to be found in the first data Disk of the first 2 data disks in the Disk array, reading the data of the second data Disk and the local redundant Disk, namely reading the data in Disk1 and Disk7 for exclusive or, thereby recovering the lost data in Disk 0;
the data recovery formula is:
Figure BDA0001545565670000083
referring to fig. 5, in the drawing, x represents occurrence of data failure, and o represents data integrity. When the data failure occurs in the third data Disk, i.e. Disk2, of the last 3 data disks in the Disk array, the data in Disk3 and Disk4 are read first, then the data in the horizontal redundant Disk and the local redundant Disk, i.e. the data in Disk5 and Disk7, are read, and the read data are subjected to exclusive-or calculation, so that the lost data in Disk2 is recovered;
the data recovery formula is:
Figure BDA0001545565670000081
referring to fig. 6, in the drawing, x represents occurrence of a data failure, o represents perfect data, and when a data failure occurs in a redundant disk, the type of the redundant disk with the data failure is determined first;
if the data failure occurs in the horizontal redundant Disk, namely the data failure occurs in Disk5, the data in the next 3 data disks, namely Disk2, Disk3 and Disk4, are read first, then the data in the local redundant Disk, namely the data in Disk7, are read, and the read data are subjected to exclusive-or calculation. Thereby recovering the lost data in Disk 5;
the data recovery formula is:
Figure BDA0001545565670000082
if the data failure occurs in the diagonal redundant Disk, namely the data failure occurs in Disk6, the exclusive-or calculation is performed according to the existing EVENODD (5, 7) array structure model, and the calculation is not different from the existing calculation. The formula is omitted here. Generally, the probability of data failure of the diagonal redundant disk is very low due to the large p value, so that the data recovery situation is rarely applied, and once the data recovery situation occurs, the exclusive or calculation is performed according to the existing EVENODD (5, 7) model.
If the data failure occurs in the local redundant Disk, namely the data failure occurs in Disk7, reading the data in the first 2 data disks, namely the data in Disk0 and Disk1, and performing exclusive-or calculation;
the data recovery formula is:
Figure BDA0001545565670000091
i=0,1...3
the above embodiments only show the case where p is 5, and since the value of p is usually large, a plurality of typical embodiments cannot be listed, and it can be considered that the above embodiments are preferred embodiments of the present invention rather than all embodiments, and any technical solutions that can be realized on the basis of the above embodiments without creative work should be considered to fall within the scope of protection of the patent of the present invention.

Claims (2)

1. A data recovery method for single disk failure of EVENODD code is characterized by comprising the following steps:
the method comprises the steps of encoding EVENODD comprising p data disks and two redundant disks, and taking the first one of the data disks
Figure FDA0002911667590000011
Performing exclusive-or calculation on the data disks, wherein p is a prime number, and the two redundant disks are a horizontal redundant disk and a diagonal redundant disk respectively;
secondly, storing the results of the XOR in the steps into a new redundant disk, wherein the redundant disk is defined as a local redundant disk;
thirdly, when a single data disk has data failure, performing data failure recovery according to the position of the failed data disk;
fourthly, when a single redundant disk has a data fault, performing data fault recovery according to the type of the fault redundant disk;
wherein the step three comprises the following substeps:
firstly, judging the position of a data disk with data failure, and dividing the situation into the situation that the data failure occurs before
Figure FDA0002911667590000012
A data disk and a back disk
Figure FDA0002911667590000013
Two cases of a data disk;
② if the data disk with data failure is positioned in front
Figure FDA0002911667590000014
In a data disk, before reading
Figure FDA0002911667590000015
Carrying out exclusive-or calculation on data of an intact data disk and a local redundant disk in each data disk to obtain data which is data of a disk with data failure;
third, if the data disk with data failure is located at the back
Figure FDA0002911667590000016
In a data disk, then read
Figure FDA0002911667590000017
Carrying out exclusive or calculation on the data of the intact data disk, the horizontal redundant disk and the local redundant disk in each data disk to obtain data, namely the data of the disk with data failure;
the step four includes the following substeps:
firstly, judging the type of a failed redundant disk, and dividing the type into three conditions;
if the disk with data failure is horizontal redundant disk, then after reading
Figure FDA0002911667590000018
Performing exclusive-or calculation on data in the data disks and the local redundant disk to obtain data which is the horizontal redundant disk data with data failure;
if the disk with the data failure is the diagonal redundant disk, reading the data in all the data disks to perform exclusive-or calculation, and obtaining the data which is the diagonal redundant disk data with the data failure;
if the data failure occurs to the local redundant disk, before reading
Figure FDA0002911667590000019
And carrying out XOR calculation on the data disks to obtain data which is the data of the local redundant disk with the fault.
2. The method for data recovery against an EVENODD code single-disk failure of claim 1, wherein the probability of the data disk failing is greater than the probability of the redundant disk failing.
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