CN111144888A - Mobile crowd sensing task allocation method with differential privacy protection function - Google Patents

Mobile crowd sensing task allocation method with differential privacy protection function Download PDF

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CN111144888A
CN111144888A CN201911349664.8A CN201911349664A CN111144888A CN 111144888 A CN111144888 A CN 111144888A CN 201911349664 A CN201911349664 A CN 201911349664A CN 111144888 A CN111144888 A CN 111144888A
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陈志立
倪天娇
仲红
崔杰
柳世祥
吴伟
丁伯尧
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Anhui Guotong Yichuang Technology Co ltd
Anhui University
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Anhui University
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Abstract

The invention discloses a differential privacy protection mobile crowd sensing task allocation method, which comprises the steps of 1, establishing an auction model according to task information submitted by a requester, request information submitted by a worker and a cloud platform; 2. determining final settlement price groups of the requesters and the workers by combining a differential privacy technology under the framework of perception task distribution based on auction; 3. determining corresponding winning requestors and workers based on the settlement price group; 4. after receiving the data submitted by the winning workers, the cloud platform calculates an aggregate result and sends the aggregate result to the winning requester; 5. the winning requester pays the corresponding reward and the winning worker receives the corresponding reward. The invention can effectively solve the problem of leakage of bid information of the worker and the requester on the premise of fully considering the perception of the data of the worker, thereby protecting the bid privacy of the worker and the requester, realizing better task distribution and simultaneously improving the data quality of the task of the requester.

Description

Mobile crowd sensing task allocation method with differential privacy protection function
Technical Field
The invention relates to the technical field of mobile crowd sensing, in particular to a mobile crowd sensing task allocation method for realizing differential privacy protection.
Background
The mobile crowd sensing system utilizes various mobile devices equipped by the public crowd to complete large-scale sensing tasks, and flexible and extensible sensing coverage is realized at lower deployment cost. At present, the mobile crowd sensing systems are widely applied, including applications of environmental monitoring, traffic monitoring, road condition detection and the like.
For workers, performing a sensory task requires the consumption of certain resources, including computing power, batteries, etc., and to encourage more workers to participate, auctions are a reasonable way of motivating workers to participate and distribute the task. In the framework formed by the cloud platform, the requester and the worker, the cloud platform is used as an auctioneer, the requester is used as a buyer, and the worker is used as a seller to construct a model based on the two-way auction. In order to maximize the utility of the requester, the requester and the requester need to submit real price quote and ask, but the attacker can cause privacy information leakage by reasoning attack, namely deducing the real price quote and ask of the requester according to the result of auction, thereby reducing the enthusiasm of the worker and the requester to participate.
In order to solve the problem of inferring the bidding privacy of participants from the public result, the concept of differential privacy is introduced into the mobile crowd sensing application, but most privacy protection schemes only comprise two parties of a platform and a worker in the case of one-way auction, so that the bid information of the worker is protected. For a Mobile crowd-sourcing perception framework based on the two-way Auction, a differential privacy two-way Auction Scheme is proposed in the document DDPA (distributed privacy Private Double Auction) Scheme for Mobile crown sensing,2018, so as to protect the bidding privacy of two parties in Auction. However, this solution does not take into account the quality of the sensory data provided by the workers. In addition to designing a reasonable incentive mechanism capable of realizing privacy protection to attract more workers to participate in the mobile crowd sensing system, the mechanism also needs to consider the quality problem of the collected worker sensing data to ensure the benefit of a task requester.
Disclosure of Invention
In order to solve the defects of the prior art, the invention provides a differential privacy protection mobile crowd sensing task allocation method, so that the problem of leakage of bid information of workers and requesters can be effectively solved on the premise of fully considering the data sensed by the workers, the bid privacy of the workers and the requesters is protected, better task allocation is realized, and the data quality of the tasks of the requesters is improved.
The technical scheme adopted by the invention for solving the technical problem is as follows:
the invention discloses a differential privacy protection mobile crowd sensing task allocation method which is characterized in that the method is applied to a cloud platform, and m requesters m & ltm & gt ═ r & ltr & gt1,r2,...,rj,...,rmN worker Ν ═ u1,u2,...,ui,...,unIn a mobile crowd sensing environment, where rjDenotes the jth requestor, uiRepresenting the ith worker, j is 1,2, …, m, i is 1,2, …, n, and the mobile crowd sensing task allocation method is carried out according to the following steps:
step 1, establishing an auction model and initializing:
step 1.1, the cloud platform is used as an auctioneer to collect task information submitted by m requesters, wherein the jth requester rjIs recorded as Sj=<τj,sj>,τjDenotes the jth requester rjRequested aware task, sjIndicating completion of the perception task τ by the jth requesterjAnd s, andj∈Πs=[vmin,vmax],vminminimum value, v, representing all requesters' quotesmaxMaximum value, Π, of quotes representing all requesterssThe value space set representing the quotation, thereby obtaining m task information sets S ═ { S } provided by the requesters1,S2,...,Sj,...,SmAnd its corresponding perceptual task set T ═ τ12,...,τj,...,τm};
Step 1.2, the cloud platform issues the collected perception task set T to n workers, wherein the ith worker uiThe submitted request information is marked as Bi=<Γi,bi>,ΓiIndicates the ith worker uiA set of tasks of interest, an
Figure BDA0002334329290000021
biIndicates the ith worker uiExecuting task set ΓiAsking price of all tasks in, and bi∈Πb=[cmin,cmax],cminMinimum value representing the asking price of all workers, cmaxMaximum value, Π, representing the asking price for all workersbValue space set representing the price to be charged, thereby obtaining request information set BETA ═ { B) submitted by n workers1,B2,...,Bi,...,Bn};
Step 1.3, define settlement price group set of requester and worker
Figure BDA0002334329290000022
Wherein the content of the first and second substances,
Figure BDA0002334329290000023
represents the l-th settlement price group,
Figure BDA0002334329290000024
indicating the ultimate award to the winning worker,
Figure BDA0002334329290000025
denotes a reward finally paid by a winning requester, L denotes the number of settlement price groups, and L ═ Πb×ΠsAnd has: II typeb×Πs={(pb,ps)|pb∈Πb∧ps∈Πs};
Step 2, according to the task information set S and the request information set BETA submitted by the requester and the worker, the cloud platform determines the settlement price group rho of the winning requester and the winning worker by using an index mechanismwin
Step 2.1, initializing 1;
step 2.2, the l-th settlement price group rholPrice of (1)
Figure BDA0002334329290000026
Determining that the ask does not exceed the ask among the n workers
Figure BDA0002334329290000027
Set of workers ΝlAnd determine set of workers ΝlA candidate task set T formed by task sets requested by all workersl
Step 2.3, from set of workers ΝlSequentially selecting the workers providing the best technical level until the candidate task set TlAll tasks in (b) meet the quality of service requirements, resulting in a set of candidate workers WB_lAnd a set of candidate requestors WS_l
Step 2.4, the cloud platform from candidate worker set WB_lTo a candidate task set TlThe j (middle) thTask taujAnd constitutes the jth task τjWorker set C ofj_l,j={1,2,...,|Tl|},|TlI represents a candidate task set TlThe size of (d);
step 2.5, the l settlement price group rholPrice of (1)
Figure BDA0002334329290000031
Determining a set of candidate requestors WS_lWherein the requester's bid is not less than
Figure BDA0002334329290000032
Winning requester set of
Figure BDA0002334329290000033
And corresponding task set
Figure BDA0002334329290000034
By the task collection
Figure BDA0002334329290000035
The set of workers for all tasks in the set of winning workers constitutes a winning set of workers
Figure BDA0002334329290000036
Step 2.6, judge in winning worker set
Figure BDA0002334329290000037
And winning requester set
Figure BDA0002334329290000038
Platform revenue generated
Figure BDA0002334329290000039
If yes, directly executing the step 2.8; otherwise, the platform profit is negative, and step 2.7 is executed;
step 2.7, delete in turn the request that produces the greatest impact on the negative platform revenue valueThe player and the corresponding worker, thereby updating the winning set of workers
Figure BDA00023343292900000310
And winning requester set
Figure BDA00023343292900000311
Until the platform profit is not less than 0, so as to obtain the final updated winning worker set and winning requester set and respectively assign the values to
Figure BDA00023343292900000312
And
Figure BDA00023343292900000313
step 2.8, calculate the set of winning workers using equation (1)
Figure BDA00023343292900000314
And winning requester set
Figure BDA00023343292900000315
Social welfare Well(B,S,ρl):
Figure BDA00023343292900000316
Step 2.9, assigning L +1 to L, judging whether L is greater than L, and if so, indicating that social benefits corresponding to L settlement price groups are obtained; otherwise, returning to the step 2.2;
step 2.10, obtaining settlement price group set by using the formula (2)
Figure BDA00023343292900000317
Selecting the l-th settlement price group rholProbability of (p) Pr (p)l) Thereby obtaining a probability distribution { Pr (ρ) of the settlement price groupl) 1,2, …, L, and according to the probability distribution of the settlement price group { Pr (ρ |)l) 1,2, …, L, randomly selecting a settlement price group as the final winningSettlement price group rhowin
Figure BDA00023343292900000318
In the formula (2), ε represents a privacy budget, and ρ' represents a settlement price group set
Figure BDA0002334329290000041
Any one of the settlement price groups, Wel ' (B, S, ρ ') represents a value of social welfare calculated when the settlement price group is ρ ', Δ Wel represents sensitivity, and Δ Wel ═ m × v ″max-cmin
Step 3, the final winning settlement price group rhowinCorresponding set of winning workers
Figure BDA0002334329290000042
And winning requester set
Figure BDA0002334329290000043
As a final set of winners;
step 4, final winning worker set
Figure BDA0002334329290000044
Wherein the ith winning worker u submits the perception data to the cloud platformiThe submitted set of sensory data is noted as
Figure BDA0002334329290000045
di,jIndicating the ith winning worker uiPerforming the jth task τjThe perceptual data that is generated at the time of the generation,
Figure BDA0002334329290000046
Figure BDA0002334329290000047
represents the size of the final winning worker set, j 1,2i|,|ΓiI denotes the ith winning worker uiAny thing of interestA service set size;
the cloud platform calculates a final winning requester set using equation (3)
Figure BDA0002334329290000048
The j winning requester rjAggregated results of tasks of (1)
Figure BDA0002334329290000049
And sent to the corresponding j-th winning requester rj
Figure BDA00023343292900000410
In the formula (3), θi,jIndicating that the ith worker performed the jth task τjAnd thetai,j=Pr[di,j=Dj]∈[0,1],DjRepresenting tasks τjTrue perception data of (1), Pr [ d ]i,j=Dj]Indicating that the ith worker performed task τjData submitted at time di,jAnd task taujTrue perception data D of timejThe probability of being equal is determined,
Figure BDA00023343292900000411
Figure BDA00023343292900000412
represents a winning requester set size;
step 5, when the final winning requester set
Figure BDA00023343292900000413
After each winning requester receives the data, the cloud platform according to the final winning settlement price group rhowinCollecting consideration from all winning requestors
Figure BDA00023343292900000414
And will award
Figure BDA00023343292900000415
Paying to the set of final winning workers
Figure BDA00023343292900000416
All winning workers.
The mobile crowd sensing task allocation method with the differential privacy protection function is also characterized in that the step 2.3 is carried out according to the following process:
step 2.3.1, set of slaves ΝlSelecting workers with technical level satisfying formula (4) as workers capable of letting task taujCandidate workers meeting quality of service requirements;
Figure BDA0002334329290000051
in the formula (4), θi,jIth worker performs task τjβjE (0,1) represents the jth task taujAccuracy requirement of, WB_lRepresenting a set of candidate workers;
step 2.3.2, let qi,j=(2θi,j-1)2Indicates the ith worker uiFor jth task τjThe quality of service of (a) is,
Figure BDA0002334329290000052
denotes the jth task τjQ ═ q, theni,j]n×mQuality of service matrix representing n workers for m tasks, Q ═ Qj]m×1Representing the quality of service requirement matrix of m tasks, equation (4) is simplified to equation (5):
Figure BDA0002334329290000053
in the formula (5), xiIndicates the ith worker uiWhether winning, if winning, it is 1, otherwise it is 0, yjDenotes the jth requester rjWhether the card wins, if so, the card is 1, otherwise, the card is 0;
step 2.3.3, initialization
Figure BDA0002334329290000054
Step 2.3.4, set of slaves ΝlSelecting a worker u satisfying the formula (6)maxAs candidate workers, and from the set of workers ΝlMiddle delete worker umaxPost-joining to the set WB_lIn order to update the set of workers Νl
Figure BDA0002334329290000055
Step 2.3.5, assign value to set of updated workers to ΝlIs mixing Q withj-min{Qj,qmax,jAssign a value to Qj(ii) a Wherein q ismax,jRepresent worker umaxFor jth task τjQuality of service of (2);
step 2.3.6, judgment
Figure BDA0002334329290000056
If yes, returning to the step 2.3.4; otherwise, the representation gets a candidate worker set WB_lAnd a set of candidate workers TlCorresponding candidate requester set WS_l
The step 2.7 is carried out according to the following processes:
step 2.7.1, gather from winning requesters
Figure BDA0002334329290000057
In which the kth requester r is removedkGet the kth set of requesters
Figure BDA0002334329290000058
Thereby obtaining
Figure BDA0002334329290000059
A set of requesters
Figure BDA00023343292900000510
Figure BDA00023343292900000511
Representing a winning requester set
Figure BDA00023343292900000512
Size;
step 2.7.2, obtaining the kth requester set by using the formula (7)
Figure BDA00023343292900000513
Corresponding kth worker set
Figure BDA00023343292900000514
Thereby obtaining
Figure BDA0002334329290000061
A set of workers
Figure BDA0002334329290000062
Figure BDA0002334329290000063
Step 2.7.3, determine the requester r that has the greatest impact on the negative platform revenue value using equation (8)max
Figure BDA0002334329290000064
Step 2.7.4, gather from winning requestors
Figure BDA0002334329290000065
Deletion requester rmaxGet the set of requesters
Figure BDA0002334329290000066
And corresponding set of workers
Figure BDA0002334329290000067
And respectively assigned with
Figure BDA0002334329290000068
And
Figure BDA0002334329290000069
step 2.7.5, judging whether the platform income is less than 0, if so, returning to step 2.7.1, otherwise, indicating that a winning requester set is obtained
Figure BDA00023343292900000610
And winning worker set
Figure BDA00023343292900000611
Compared with the scheme in the prior art, the invention has the beneficial effects that:
1. the invention applies a differential privacy technology under a mobile crowd sensing framework based on bidirectional auction, realizes privacy protection by a mode of probabilistically selecting and settling price groups through an index mechanism, ensures the safety of bid information of workers and requesters, and attracts more requesters and workers to participate.
2. According to the method, the privacy information of the requester and the worker is protected by using the differential privacy, and compared with the method for realizing the safety by using an encryption technology, the calculation and communication overhead of an encryption algorithm is reduced, and the task allocation efficiency is improved; in addition, the distribution method comprehensively considers the service quality of data submitted by workers and improves the total distribution utility.
3. In the task allocation process, the invention selects the workers with high reliability to execute the related tasks, and adopts the data aggregation method to calculate the data aggregation result, thereby improving the quality of the perception task, ensuring that the requirement of data accuracy provided by the platform can be met, ensuring the benefit of the requester, and improving the participation enthusiasm of the requester.
4. In the process of using the index mechanism, the social benefit is used as a utility function for determining the settlement price, so that the result of task allocation can generate better social benefit and has better practicability.
Drawings
FIG. 1 is a framework diagram of the present invention;
FIG. 2 is a flow chart of the main implementation steps of the present invention.
Detailed Description
In this embodiment, a mobile crowd sensing task allocation method with differential privacy protection, as shown in fig. 1, is applied to a cloud platform, where m requesters m ═ r1,r2,...,rj,...,rmN worker Ν ═ u1,u2,...,ui,...,unIn a mobile crowd sensing environment, where rjDenotes the jth requestor, uiRepresenting the ith worker, j is 1,2, …, m, i is 1,2, …, n, as shown in fig. 2, the mobile crowd sensing task allocation method is performed as follows:
step 1, establishing an auction model and initializing: according to information submitted by a requester and a worker, the credible cloud platform is regarded as an auctioneer, the requester is regarded as a buyer, the worker is regarded as a seller, and a two-way auction model is constructed;
step 1.1, the cloud platform is used as an auctioneer to collect task information submitted by m requesters, wherein the jth requester rjIs recorded as Sj=<τj,sj>,τjDenotes the jth requester rjRequested aware task, sjIndicating completion of the perception task τ by the jth requesterjAnd s, andj∈Πs=[vmin,vmax],vmin10 denotes the minimum of all requesters' quotes, vmax15 represents the maximum value of the quotes for all requesters, ΠsThe value space set representing the quotation, thereby obtaining m task information sets S ═ { S } provided by the requesters1,S2,...,Sj,...,SmAnd its corresponding perceptual task set T ═ τ12,...,τj,...,τm};
Step 1.2, the cloud platform will collectThe sensed task set T is issued to n workers, wherein the ith worker uiThe submitted request information is marked as Bi=<Γi,bi>,ΓiIndicates the ith worker uiA set of tasks of interest, an
Figure BDA0002334329290000071
biIndicates the ith worker uiExecuting task set ΓiAsking price of all tasks in, and bi∈Πb=[cmin,cmax],cmin5 represents the minimum value of the asking price of all workers, cmax10 represents the maximum value of the asking price for all workers, ΠbValue space set representing the price to be charged, thereby obtaining request information set BETA ═ { B) submitted by n workers1,B2,...,Bi,...,Bn};
Step 1.3, define settlement price group set of requester and worker
Figure BDA0002334329290000072
Wherein the content of the first and second substances,
Figure BDA0002334329290000073
represents the l-th settlement price group,
Figure BDA0002334329290000074
indicating the ultimate award to the winning worker,
Figure BDA0002334329290000075
denotes a reward finally paid by a winning requester, L denotes the number of settlement price groups, and L ═ Πb×ΠsAnd has: II typeb×Πs={(pb,ps)|pb∈Πb∧ps∈Πs};
Step 2, according to the task information set S and the request information set BETA submitted by the requester and the worker, the cloud platform determines the settlement price of the winning requester and the winning worker by using an index mechanismGroup rhowin
Step 2.1, initializing 1;
step 2.2, the price in the l-th settlement price group rho l
Figure BDA0002334329290000076
Determining that the ask does not exceed the ask among the n workers
Figure BDA0002334329290000077
Set of workers ΝlAnd determine set of workers ΝlA candidate task set T formed by task sets requested by all workersl
Step 2.3, from set of workers ΝlSequentially selecting the workers providing the best technical level until the candidate task set TlAll tasks in (b) meet the quality of service requirements, resulting in a set of candidate workers WB_lAnd a set of candidate requestors WS_l
Step 2.3.1, set of slaves ΝlSelecting workers with technical level satisfying formula (1) as workers capable of letting task taujCandidate workers meeting quality of service requirements;
Figure BDA0002334329290000081
in the formula (1), θi,jIth worker performs task τjβjE (0,1) represents the jth task taujI.e. the jth requester rjThe probability that the obtained task data is not equal to the real data of the task is not more than βj,WB_lRepresenting a set of candidate workers;
step 2.3.2, let qi,j=(2θi,j-1)2Indicates the ith worker uiFor jth task τjThe quality of service of (a) is,
Figure BDA0002334329290000082
denotes the jth task τjQuality of service ofWhen the amount is required, q is ═ qi,j]n×mQuality of service matrix representing n workers for m tasks, Q ═ Qj]m×1Representing the quality of service requirement matrix of m tasks, equation (1) is simplified to equation (2):
Figure BDA0002334329290000083
in the formula (2), xiIndicates the ith worker uiWhether winning, if winning, it is 1, otherwise it is 0, yjDenotes the jth requester rjWhether the card wins, if so, the card is 1, otherwise, the card is 0;
step 2.3.3, initialization
Figure BDA0002334329290000084
Step 2.3.4, set of slaves ΝlSelecting a worker u satisfying the formula (3)maxAs candidate workers, and from the set of workers ΝlMiddle delete worker umaxPost-joining to the set WB_lIn order to update the set of workers Νl
Figure BDA0002334329290000085
Step 2.3.5, assign value to set of updated workers to ΝlIs mixing Q withj-min{Qj,qmax,jAssign a value to Qj(ii) a Wherein q ismax,jRepresent worker umaxFor jth task τjQuality of service of (2);
step 2.3.6, judgment
Figure BDA0002334329290000086
If yes, returning to the step 2.3.4; otherwise, the representation gets a candidate worker set WB_lAnd a set of candidate workers TlCorresponding candidate requester set WS_l
Step 2.4, cloud platform from candidate worker set WB_lTo a candidate task set TlTask j (j) in (1)jAnd constitutes the jth task τjWorker set C ofj_l,j={1,2,...,|Tl|},|TlI represents a candidate task set TlSize;
step 2.5, the l-th settlement price group rholPrice of (1)
Figure BDA0002334329290000091
Determining a set of candidate requestors WS_lWherein the requester's bid is not less than
Figure BDA0002334329290000092
Winning requester set of
Figure BDA0002334329290000093
And corresponding task set
Figure BDA0002334329290000094
By task aggregation
Figure BDA0002334329290000095
The set of workers for all tasks in the set of winning workers constitutes a winning set of workers
Figure BDA0002334329290000096
Step 2.6, judge in winning worker set
Figure BDA0002334329290000097
And winning requester set
Figure BDA0002334329290000098
Platform revenue generated
Figure BDA0002334329290000099
If yes, directly executing the step 2.8; otherwise, the platform profit is negative, and step 2.7 is executed; in order to guarantee budget balance in task allocation, platform profit is ensured to be not less than0;
Step 2.7, sequentially deleting the requesters and corresponding workers having the greatest impact on negative platform revenue values, thereby updating the winning set of workers
Figure BDA00023343292900000910
And winning requester set
Figure BDA00023343292900000911
Until the platform profit is not less than 0, so as to obtain the final updated winning worker set and winning requester set and respectively assign the values to
Figure BDA00023343292900000912
And
Figure BDA00023343292900000913
step 2.7.1, gather from winning requesters
Figure BDA00023343292900000914
In which the kth requester r is removedkGet the kth set of requesters
Figure BDA00023343292900000915
Thereby obtaining
Figure BDA00023343292900000916
A set of requesters
Figure BDA00023343292900000917
Figure BDA00023343292900000918
Representing a winning requester set
Figure BDA00023343292900000919
Size;
step 2.7.2, obtaining the kth requester set by using the formula (4)
Figure BDA00023343292900000920
Corresponding kth worker set
Figure BDA00023343292900000921
Thereby obtaining
Figure BDA00023343292900000922
A set of workers
Figure BDA00023343292900000923
Figure BDA00023343292900000924
In equation (4), to guarantee the set of requesters
Figure BDA00023343292900000925
The task of the requester in (1) meets the quality of service requirement, so the set of workers
Figure BDA00023343292900000926
Is made up of a collection of workers for each task;
step 2.7.3, determine the requester r that has the greatest impact on the negative platform revenue value using equation (5)max
Figure BDA00023343292900000927
Step 2.7.4, gather from winning requestors
Figure BDA0002334329290000101
Deletion requester rmaxGet the set of requesters
Figure BDA0002334329290000102
And corresponding set of workers
Figure BDA0002334329290000103
And respectively assigned with
Figure BDA0002334329290000104
And
Figure BDA0002334329290000105
step 2.7.5, judging whether the platform income is less than 0, if so, returning to step 2.7.1, otherwise, indicating that a winning requester set is obtained
Figure BDA0002334329290000106
And winning worker set
Figure BDA0002334329290000107
Step 2.8, calculate the set of winning workers using equation (6)
Figure BDA0002334329290000108
And winning requester set
Figure BDA0002334329290000109
Social welfare Well(B,S,ρl):
Figure BDA00023343292900001010
Step 2.9, assigning L +1 to L, judging whether L is greater than L, and if so, indicating that social benefits corresponding to L settlement price groups are obtained; otherwise, returning to the step 2.2;
step 2.10, obtaining settlement price group set by using formula (7)
Figure BDA00023343292900001011
Selecting the l-th settlement price group rholProbability of (p) Pr (p)l) Thereby obtaining a probability distribution { Pr (ρ) of the settlement price groupl) 1,2, …, L, and according to the probability distribution of the settlement price group { Pr (ρ |)l) 1,2, …, L, randomly selecting a settlement price group as the final winning settlement price group ρwin
Figure BDA00023343292900001012
In the formula (7), ε represents a privacy budget, and ρ' represents a settlement price group set
Figure BDA00023343292900001013
Any one of the settlement price groups, Wel ' (B, S, ρ ') represents a value of social welfare calculated when the settlement price group is ρ ', Δ Wel represents sensitivity, and Δ Wel ═ m × v ″max-cmin(ii) a Privacy protection can be realized by randomly selecting the settlement price group by using an index mechanism, and the higher the social welfare generated at the same time, the higher the probability that the corresponding settlement price group is selected is;
step 3, the final winning settlement price group rhowinCorresponding set of winning workers
Figure BDA00023343292900001014
And winning requester set
Figure BDA00023343292900001015
As a final winner set, determining workers corresponding to each task;
step 4, final winning worker set
Figure BDA00023343292900001016
Wherein the ith winning worker u submits the perception data to the cloud platformiThe submitted set of sensory data is noted as
Figure BDA00023343292900001017
di,jIndicating the ith winning worker uiPerforming the jth task τjThe perceptual data that is generated at the time of the generation,
Figure BDA00023343292900001018
Figure BDA00023343292900001019
represents the size of the final winning worker set, j 1,2i|,|ΓiI denotes the ith winning worker uiThe size of the set of tasks of interest; (ii) a
Cloud platform computing final winning requester set using equation (8)
Figure BDA0002334329290000111
The j winning requester rjAggregated results of tasks of (1)
Figure BDA0002334329290000112
And sent to the corresponding j-th winning requester rj
Figure BDA0002334329290000113
In the formula (8), θi,jIndicating that the ith worker performed the jth task τjAnd thetai,j=Pr[di,j=Dj]∈[0,1],DjRepresenting tasks τjTrue perception data of (1), Pr [ d ]i,j=Dj]Indicating that the ith worker performed task τjTime-committed data and task τjTrue perception data D of timejThe probability of being equal is determined,
Figure BDA0002334329290000114
Figure BDA0002334329290000115
represents a winning requester set size; thetai,jThe higher the data quality provided, the greater the weight taken up in the polymerization process;
step 5, when the final winning requester set
Figure BDA0002334329290000116
After each winning requester receives the data, the cloud platform according to the final winning settlement price group rhowinCollecting consideration from all winning requestors
Figure BDA0002334329290000117
And will award
Figure BDA0002334329290000118
Paying to the set of final winning workers
Figure BDA0002334329290000119
All winning workers.
In summary, the method for mobile crowd sensing task allocation provided by the invention protects the bid information of the requester and the worker by combining an exponential mechanism in differential privacy, and simultaneously selects the data of the worker with high reliability in the task allocation process to calculate the aggregation result by adopting a data aggregation method in consideration of the data quality of the worker, so as to ensure the accuracy of the data.

Claims (3)

1. A mobile crowd sensing task allocation method with differential privacy protection is characterized by being applied to a cloud platform, and m requesters m ═ r1,r2,...,rj,...,rmN worker Ν ═ u1,u2,...,ui,...,unIn a mobile crowd sensing environment, where rjDenotes the jth requestor, uiRepresenting the ith worker, j is 1,2, …, m, i is 1,2, …, n, and the mobile crowd sensing task allocation method is carried out according to the following steps:
step 1, establishing an auction model and initializing:
step 1.1, the cloud platform is used as an auctioneer to collect task information submitted by m requesters, wherein the jth requester rjIs recorded as Sj=<τj,sj>,τjDenotes the jth requester rjRequested aware task, sjIndicating completion of the perception task τ by the jth requesterjAnd s, andj∈Πs=[vmin,vmax],vminminimum value, v, representing all requesters' quotesmaxIndicating all requestersMaximum value of quoted price of |, nsThe value space set representing the quotation, thereby obtaining m task information sets S ═ { S } provided by the requesters1,S2,...,Sj,...,SmAnd its corresponding perceptual task set T ═ τ12,...,τj,...,τm};
Step 1.2, the cloud platform issues the collected perception task set T to n workers, wherein the ith worker uiThe submitted request information is marked as Bi=<Γi,bi>,ΓiIndicates the ith worker uiA set of tasks of interest, an
Figure FDA0002334329280000011
biIndicates the ith worker uiExecuting task set ΓiAsking price of all tasks in, and bi∈Πb=[cmin,cmax],cminMinimum value representing the asking price of all workers, cmaxMaximum value, Π, representing the asking price for all workersbValue space set representing the price to be charged, thereby obtaining request information set BETA ═ { B) submitted by n workers1,B2,...,Bi,...,Bn};
Step 1.3, define settlement price group set of requester and worker
Figure FDA0002334329280000012
Wherein the content of the first and second substances,
Figure FDA0002334329280000013
represents the l-th settlement price group,
Figure FDA0002334329280000014
indicating the ultimate award to the winning worker,
Figure FDA0002334329280000015
indicating the final compensation paid by the winning requester, L TableShowing the number of price groups for settlement, and L ═ Πb×ΠsAnd has: II typeb×Πs={(pb,ps)|pb∈Πb∧ps∈Πs};
Step 2, according to the task information set S and the request information set BETA submitted by the requester and the worker, the cloud platform determines the settlement price group rho of the winning requester and the winning worker by using an index mechanismwin
Step 2.1, initializing 1;
step 2.2, the l-th settlement price group rholPrice of (1)
Figure FDA0002334329280000016
Determining that the ask does not exceed the ask among the n workers
Figure FDA0002334329280000017
Set of workers ΝlAnd determine set of workers ΝlA candidate task set T formed by task sets requested by all workersl
Step 2.3, from set of workers ΝlSequentially selecting the workers providing the best technical level until the candidate task set TlAll tasks in (b) meet the quality of service requirements, resulting in a set of candidate workers WB_lAnd a set of candidate requestors WS_l
Step 2.4, the cloud platform from candidate worker set WB_lTo a candidate task set TlTask j (j) in (1)jAnd constitutes the jth task τjWorker set C ofj_l,j={1,2,...,|Tl|},|TlI represents a candidate task set TlThe size of (d);
step 2.5, the l settlement price group rholPrice of (1)
Figure FDA0002334329280000021
Determining a set of candidate requestors WS_lWherein the requester's bid is not less than
Figure FDA0002334329280000022
Winning requester set of
Figure FDA0002334329280000023
And corresponding task set
Figure FDA0002334329280000024
By the task collection
Figure FDA0002334329280000025
The set of workers for all tasks in the set of winning workers constitutes a winning set of workers
Figure FDA0002334329280000026
Step 2.6, judge in winning worker set
Figure FDA0002334329280000027
And winning requester set
Figure FDA0002334329280000028
Platform revenue generated
Figure FDA0002334329280000029
If yes, directly executing the step 2.8; otherwise, the platform profit is negative, and step 2.7 is executed;
step 2.7, sequentially deleting the requesters and corresponding workers having the greatest impact on negative platform revenue values, thereby updating the winning set of workers
Figure FDA00023343292800000210
And winning requester set
Figure FDA00023343292800000211
Up toThe platform profit is not less than 0, so as to obtain the final updated winning worker set and winning requester set and respectively assign the winning worker set and the winning requester set to
Figure FDA00023343292800000212
And
Figure FDA00023343292800000213
step 2.8, calculate the set of winning workers using equation (1)
Figure FDA00023343292800000214
And winning requester set
Figure FDA00023343292800000215
Social welfare Well(B,S,ρl):
Figure FDA00023343292800000216
Step 2.9, assigning L +1 to L, judging whether L is greater than L, and if so, indicating that social benefits corresponding to L settlement price groups are obtained; otherwise, returning to the step 2.2;
step 2.10, obtaining settlement price group set by using the formula (2)
Figure FDA00023343292800000217
Selecting the l-th settlement price group rholProbability of (p) Pr (p)l) Thereby, a probability distribution { Pr (ρ L) | L ═ 1,2, …, L } of the settlement price group is obtained, and the probability distribution { Pr (ρ L) | L of the settlement price group is obtained from the settlement price groupl) 1,2, …, L, randomly selecting a settlement price group as the final winning settlement price group ρwin
Figure FDA00023343292800000218
In the formula (2), ε represents a privacy budget, and ρ' representsSettlement price group aggregation
Figure FDA0002334329280000031
Any one of the settlement price groups, Wel ' (B, S, ρ ') represents a value of social welfare calculated when the settlement price group is ρ ', Δ Wel represents sensitivity, and Δ Wel ═ m × v ″max-cmin
Step 3, the final winning settlement price group rhowinCorresponding set of winning workers
Figure FDA0002334329280000032
And winning requester set
Figure FDA0002334329280000033
As a final set of winners;
step 4, final winning worker set
Figure FDA0002334329280000034
Wherein the ith winning worker u submits the perception data to the cloud platformiThe submitted set of sensory data is noted as
Figure FDA0002334329280000035
di,jIndicating the ith winning worker uiPerforming the jth task τjThe perceptual data that is generated at the time of the generation,
Figure FDA0002334329280000036
Figure FDA0002334329280000037
represents the size of the final winning worker set, j 1,2i|,|ΓiI denotes the ith winning worker uiThe size of the set of tasks of interest;
the cloud platform calculates a final winning requester set using equation (3)
Figure FDA0002334329280000038
The j winning requester rjAggregated results of tasks of (1)
Figure FDA0002334329280000039
And sent to the corresponding j-th winning requester rj
Figure FDA00023343292800000310
In the formula (3), θi,jIndicating that the ith worker performed the jth task τjAnd thetai,j=Pr[di,j=Dj]∈[0,1],DjRepresenting tasks τjTrue perception data of (1), Pr [ d ]i,j=Dj]Indicating that the ith worker performed task τjData submitted at time di,jAnd task taujTrue perception data D of timejThe probability of being equal is determined,
Figure FDA00023343292800000311
Figure FDA00023343292800000312
represents a winning requester set size;
step 5, when the final winning requester set
Figure FDA00023343292800000313
After each winning requester receives the data, the cloud platform according to the final winning settlement price group rhowinCollecting consideration from all winning requestors
Figure FDA00023343292800000314
And will award
Figure FDA00023343292800000315
Paying to the set of final winning workers
Figure FDA00023343292800000316
All winning workers.
2. The differential privacy protection mobile crowd sensing task distribution method according to claim 1, wherein the step 2.3 is performed as follows:
step 2.3.1, set of slaves ΝlSelecting workers with technical level satisfying formula (4) as workers capable of letting task taujCandidate workers meeting quality of service requirements;
Figure FDA00023343292800000317
in the formula (4), θi,jIth worker performs task τjβjE (0,1) represents the jth task taujAccuracy requirement of, WB_lRepresenting a set of candidate workers;
step 2.3.2, let qi,j=(2θi,j-1)2Indicates the ith worker uiFor jth task τjThe quality of service of (a) is,
Figure FDA0002334329280000041
denotes the jth task τjQ ═ q, theni,j]n×mQuality of service matrix representing n workers for m tasks, Q ═ Qj]m×1Representing the quality of service requirement matrix of m tasks, equation (4) is simplified to equation (5):
Figure FDA0002334329280000042
in the formula (5), xiIndicates the ith worker uiWhether winning, if winning, it is 1, otherwise it is 0, yjDenotes the jth requester rjWhether the card wins, if so, the card is 1, otherwise, the card is 0;
step 2.3.3, initialization
Figure FDA0002334329280000043
Step 2.3.4, set of slaves ΝlSelecting a worker u satisfying the formula (6)maxAs candidate workers, and from the set of workers ΝlMiddle delete worker umaxPost-joining to the set WB_lIn order to update the set of workers Νl
Figure FDA0002334329280000044
Step 2.3.5, assign value to set of updated workers to ΝlIs mixing Q withj-min{Qj,qmax,jAssign a value to Qj(ii) a Wherein q ismax,jRepresent worker umaxFor jth task τjQuality of service of (2);
step 2.3.6, judgment
Figure FDA0002334329280000045
If yes, returning to the step 2.3.4; otherwise, the representation gets a candidate worker set WB_lAnd a set of candidate workers TlCorresponding candidate requester set WS_l
3. The differential privacy protection mobile crowd sensing task distribution method according to claim 1, wherein the step 2.7 is performed as follows:
step 2.7.1, gather from winning requesters
Figure FDA0002334329280000046
In which the kth requester r is removedkGet the kth set of requesters
Figure FDA0002334329280000047
Thereby obtaining
Figure FDA0002334329280000048
A set of requesters
Figure FDA0002334329280000049
Figure FDA00023343292800000410
Representing a winning requester set
Figure FDA00023343292800000411
Size;
step 2.7.2, obtaining the kth requester set by using the formula (7)
Figure FDA00023343292800000412
Corresponding kth worker set
Figure FDA00023343292800000413
Thereby obtaining
Figure FDA00023343292800000414
A set of workers
Figure FDA00023343292800000415
Figure FDA0002334329280000051
Step 2.7.3, determine the requester r that has the greatest impact on the negative platform revenue value using equation (8)max
Figure FDA0002334329280000052
Step 2.7.4, gather from winning requestors
Figure FDA0002334329280000053
Request for deletionPerson r is soughtmaxGet the set of requesters
Figure FDA0002334329280000054
And corresponding set of workers
Figure FDA0002334329280000055
And respectively assigned with
Figure FDA0002334329280000056
And
Figure FDA0002334329280000057
step 2.7.5, judging whether the platform income is less than 0, if so, returning to step 2.7.1, otherwise, indicating that a winning requester set is obtained
Figure FDA0002334329280000058
And winning worker set
Figure FDA0002334329280000059
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