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Cấu trúc

  • I. Ӟ,7+,ӊ8Ĉӄ7ơ, (12)
  • II. amp;È&1*+,Ç1&Ӭ8/,Ç148$1 (14)
    • 1.2. ҬQGDQKGӳOLӋXGӵDWUrQQJүXQKLrQKyD (14)
    • 1.3. ҬQGDQKGӳOLӋXGӵDWUrQN-anonymity (15)
    • 3.3. k-DQRQ\PLW\[iFVXҩW (20)
  • III. amp;È&.+È,1,ӊ0&Ѫ%Ҧ1 (25)
  • IV. 3+ẩ7%,ӆ8%ơ,72ẩ1 (25)
  • V. Ҧ,3+È3Ĉӄ;8Ҩ7 (26)
  • VI. 7+Ӵ&1*+,ӊ09ơĈẩ1+*,ẩ (30)
    • 3. ĈiQKJLi (36)
  • VII. ӂ7/8Ұ1 (37)
  • VIII. 1+0Ө& &ẩ&7ơ,/,ӊ87+$0.+Ҧ2 (39)

Nội dung

Ӟ,7+,ӊ8Ĉӄ7ơ,

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Explicit identifiers 7KXӝFWtQKÿӏQKGDQK ID, NAME

Quasi attributes 7KXӝFWtQKNKҧÿӏQK danh

%ҧQJ1 k-DQRQ\PLW\FiFORҥLWKXӝFWtQKWURQJGӳOLӋX

ID AGE SEX ZIP PHONE SALARY

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ID AGE SEX ZIP PHONE SALARY

%ҧQJ3 9tGө 1 YӅEҧQJGӳOLӋXÿѭӧFҭQGDQK

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- l-GLYHUVLW\ /j Vӵ Pӣ UӝQJ FӫD N-DQRQ\PLW\ QJRjL ÿҧP EҧR WtQK FKҩW N-DQRQ\PLW\WұSGӳOLӋXFzQSKҧLÿҧPEҧRPӭFÿӝÿDGҥQJYӅJLiWUӏFӫDFiFWKXӝFWtQKQKҥ\FҧPWURQJÿyPӛLWKXӝFWtQKQKҥ\FҧPÿӅXFytWQKҩWOJLiWUӏNKiFQKDXÿӕLYӟLWӯQJOӟSPӝWOӟSJӗPNWKӵFWKӇNK{QJWKӇSKkQELӋWO-GLYHUVLW\ÿѭӧFVLQKUDOjÿӇNKҳFSKөFÿLӇP\ӃXFӫDN-DQRQ\PLW\OLrQTXDQÿӃQYLӋFEӏWҩQF{QJEӣL7ҩQF{QJGӵDWUrQVӵÿӗQJQKҩW+RPRJHQHLW\$WWDFNGRFiFWKӵFWKӇWURQJFQJPӝWOӟSFyWKӇFyJLiWUӏJLӕQJQKDX ӣPӝWWKXӝFWtQKQjRÿyÿһFELӋWOjWKXӝFWtQKQKҥ\FҧPYtGөFyFQJEӋQKWұWWӯÿyGӉGjQJFKRNҿWҩQF{QJELӃWÿѭӧFWK{QJWLQQKҥ\FҧPFӫDQJѭӡLGQJ/ѭXêUҵQJQӃX

7 FyQKLӅXKѫQPӝWWKXӝFWtQKQKҥ\FҧPYLӋFKLӋQWKӵFP{KuQKO-GLYHUVLW\WUӣ QrQNKyNKăQKѫQ [11]

- t-FORVHQHVV0{KuQKO-GLYHUVLW\NK{QJTXDQWkPÿӃQVӵSKkQEӕFӫDFiFJLi WUӏWӭFOjÿӕLYӟLEҩWNǤPӝWWKXӝFWtQKQjRWKuVӵSKkQEӕFӫDFiFJLiWUӏ NK{QJÿѭӧF[pWWӟL7X\QKLrQWURQJWKӵFWӃWұSGӳOLӋXFyWKӇGj\KRһFWKѭD WUrQPӝWYjLWKXӝFWtQKTXDVLLGHQWLILHUQjRÿyQKӡÿyNҿWҩQF{QJFyWKӇWҩQ F{QJGӵDWUrQNLӃQWKӭFQӅQEDFNJURXQGNQRZOHGJHDWWDFNQKҵPVX\UDÿѭӧF WK{QJWLQQKҥ\FҧPGӵDWUrQSKkQEӕ0һWNKiFPӭFÿӝQKҥ\FҧPFӫDWKXӝF WtQKFNJQJW\WKXӝFYjRJLiWUӏFӫDQyYtGөWKXӝFWtQKOLrQTXDQÿӃQEӋQKWұW QӃXOjGѭѫQJWtQKWKuQKҥ\FҧPKѫQVRYӟLQӃXJLiWUӏOjkPWtQK9uQKӳQJOê GRQj\P{KuQKW-FORVHQHVVÿѭӧFÿӅ[XҩWYӟLêWѭӣQJFKtQKOjWURQJPӝWOӟS WѭѫQJÿѭѫQJJӗPNWKӵFWKӇVӵSKkQEӕJLiWUӏFӫDFiFWKXӝF WtQKQKҥ\FҧP SKҧLWѭѫQJWӵVӵSKkQEӕWRjQFөFFӫDFK~QJ>12]

1.4 6ӱGөQJF{QJQJKӋEORFNFKDLQ± smart contract Ĉk\OjPӝWKѭӟQJWLӃSFұQPӟLPӝWP{KuQKÿӇFKLDVҿGӳOLӋXGӵDWUrQF{QJQJKӋ EORFNFKDLQÿѭӧFJLӟLWKLӋXӣ>4]

2 %ҧRYӋWtQKULrQJWѭÿӕLYӟLFiFGҥQJGӳOLӋXNKiFQKDX

&iFSKѭѫQJSKiSEҧRYӋWtQKULrQJWѭKLӋQWҥLKҫXKӃWWұSWUXQJYjRFiFGҥQJGӳ OLӋXVӕQXPHULFDOQKѭWXәLWiFKRһFSKkQORҥLFDWHJRULFDOGDWDQKѭJLӟLWtQK7X\QKLrQ FiFGҥQJGӳOLӋXNKiFQKѭFKXӛLYăQEҧQôFNJQJ[XҩWKLӋQQKLӅXWURQJWKӵFWӃÿzLKӓL FiFJLҧLSKiSEҧRYӋWtQKULrQJWѭSKҧLÿiSӭQJÿѭӧF

- 'ӳOLӋXYăQEҧQWH[WĈѭӧF[HPOjGӳOLӋXQKLӅXFKLӅX

- 'ӳOLӋXFKXӛLVWULQJĈһFÿLӇPOjFyFKLӅXGjLNK{QJFӕÿӏQK

&iFJLҧLSKiSEҧRYӋWtQKULrQJWѭKLӋQWҥLQәLEұWOjҬQGDQKGӳOLӋXFKӍPӟLWұS WUXQJYjRFiFGӳOLӋXtWFKLӅXYjFy ÿӝGjLtWNKiFQKDXVӕORҥL

3 &iFNӻWKXұWҬQGDQKGӳOLӋXGӵDWUrQN-anonymity

- /ѭӧFEӓ6XSSUHVVLRQ/RҥLEӓKRjQWRjQJLiWUӏFӫDWKXӝFWtQK7URQJYtGө 1 FyWKӇWKҩ\ӣWKXӝFWtQK,'ÿѭӧFWKD\WKӃEҵQJGҩX

- 7әQJTXiWKyD*HQHUDOL]DWLRQĈӕLYӟLPӛLWKXӝFWtQK[k\GӵQJPӝWFk\SKkQFҩSWәQJTXiWWKXӝFWtQKGҥQJSKkQORҥLcategorical attribute KRһFÿӏQKQJKƭD

8 UDFiFPLӅQJLiWUӏÿӕLYӟLFiFWKXӝFWtQKVӕnumerical attribute 6DXÿyWKD\WKӃ JLiWUӏFӫDWKXӝFWtQKEҵQJJLiWUӏWәQJTXiWWUrQFk\SKkQFҩSKRһFPӝWPLӅQJLi WUӏWәQJTXiWKѫQ7KXӝFWtQKSEX YjAGE WURQJYtGө o 7әQJTXiWKyDWRjQFөF*OREDOJHQHUDOL]DWLRQ7әQJTXiWKyDGӵDWUrQJLi WUӏFӫDWRjQEӝWұSGӳOLӋXWӭFOjÿӕLYӟLPӛLWKXӝFWtQK FKӍFyPӝWJLiWUӏ WәQJTXiWWѭѫQJӭQJѬXÿLӇPFӫDFiFKQj\OjÿѫQJLҧQQKѭQJEOҥLPӭF ÿӝPҩWPiWGӳOLӋXFDR7LrXELӇXFyJLҧLWKXұW,QFRJQLWR>7] o 7әQJTXiWKyDFөFEӝ/RFDOJHQHUDOL]DWLRQ7әQJTXiWKyDGӵDWUrQJLiWUӏ FӫDFiFEҧQJKLWURQJQKyPOӟSWӭFOjPӝWWKXӝFWtQK FyWKӇÿѭӧFWәQJ TXiWWKjQKFiFJLiWUӏNKiFQKDXW\YjRQKyPOӟS&iFKQj\ÿҧPEҧR PӭFÿӝPҩWPiWGӳOLӋXtWKѫQ7әQJTXiWKyDWRjQFөFQKѭQJÿӝSKӭFWҥS YӅKLӋQWKӵFFDRKѫQ0ӝWQKѭӧFÿLӇPNKiFFӫDQyOjWҥRUDVӵNK{QJÿӗQJ QKҩWYӅJLiWUӏFӫDWKXӝFWtQKGRJLiWUӏFӫDQyFyWKӇOjJLiWUӏFөWKӇӣQKyP OӟSQj\QKѭQJOҥLOjPӝWJLiWUӏWәQJTXiWӣQKyPOӟSNKiF2.$>5] vj KACA [6] OjFiF ÿҥLGLӋQWLrXELӇX

- &iFJLҧLWKXұW/ѭӧFEӓYj7әQJTXiWKyDJL~SFKHJLҩXÿLFiFWK{QJWLQULrQJWѭ QKѭQJÿӗQJWKӡLÿmOjPJLҧP ÿLJLiWUӏFӫDGӳOLӋX%rQFҥQKÿyYLӋFNӃWKӧS FiFJLҧLWKXұW/ѭӧFEӓYj7әQJTXiWKyDQj\VDRFKRÿҥWKLӋXTXҧFNJQJOjPӝW YҩQÿӅFҫQJLҧLTX\ӃW%jLWRiQN-DQRQ\PLW\GӵDWUrQ/ѭӧFEӓYj7әQJTXiW KyDÿѭӧFFKӭQJPLQKOj13-NKy

- Microaggregation&KLDWұSGӳOLӋXUDWKjQKFiFOӟSYӟLtWQKҩWNWKӵFWKӇEҧQ

JKLVDRFKRFiFWKӵFWKӇEҧQJKLWURQJWӯQJOӟSOjWѭѫQJWӵQKDX VDXÿy7әQJ TXiWKyDquasi attribute FiFEҧQJKLWURQJPӛLQKyPGӵDYjRclass centroid [10]

- Anatomy ӻ WKXұW Qj\ [HP [pW ULrQJ ELӋW Gӳ OLӋX FӫD FiF WKXӝF WtQK TXDVL attribute YjFiFWKXӝFWtQKQKҥ\FҧP1yFKLDWұSGӳOLӋXUDOjPKDLEҧQJPӝW EҧQJÿӇOѭXFiFTXDVLattribute YjPӝWEҧQJÿӇOѭXFiFWKXӝFWtQKQKҥ\FҧPKDL EҧQJQj\ÿѭӧFOLrQNӃWWK{QJTXDgroup LGWURQJÿyPӛLgroup FyNWKӵFWKӇ

k-DQRQ\PLW\[iFVXҩW

7URQJFiFKWLӃSFұQQj\PӝWWұSGӳOLӋXÿѭӧF[HP OjÿҥWWtQKFKҩWN-anonymity QӃXQKѭÿӕLYӟLPӝWWұSTXDVLLGHQWLILHU[iFVXҩWÿӇWuPUDÿӏQKGDQKÿӕLYӟLPӝWEҧQ JKLQKLӅXQKҩWOjN

.ӻWKXұWJRPFөPFOXVWHULQJOjPӝWWURQJQKӳQJFiFKWLӃSFұQSKәELӃQÿӕLYӟL k-DQRQ\PLW\WURQJÿy[HPEjLWRiQN-DQRQ\PLW\QKѭOjEjLWRiQJRPFөPWURQJÿyPӛL FөPFytWQKҩWNWKӵFWKӇEҧQJKLWѭѫQJWӵQKDX0ӝWKѭӟQJWLӃSFұQSKәELӃQOjJRP WұSGӳ OLӋXWKjQKFiFFөPYjVDXÿyiSGөQJ7әQJTXiWKyD*HQHUDOL]DWLRQ9LӋFFiF FөPFyFiFWKӵFWKӇJҫQJLӕQJQKDXJL~SJLҧPEӟWPҩWPiWGӳOLӋXNKLWKӵFKLӋQWәQJ TXiWKyD

Trong [14@6DQJ1L0HQJER;LHYj4XDQ4LDQÿmÿѭDUDPӝWJLҧLWKXұWKLӋQWKӵF k-DQRQ\PLW\GӵDWUrQJRPFөPYjVRViQKNӃWTXҧWKӡLJLDQFKҥ\FNJQJQKѭÿӝPҩWPiW GӳOLӋX YӟLFiFJLҧLWKXұW.$&$>6], Incognito [7@7ұSGӳOLӋXÿѭӧFVӱGөQJOjWұS$GXOW [8@ĈӝÿRPҩWPiWLQIRUPDWLRQORVVÿѭӧFÿӏQKQJKƭDQKѭVDX

*LҧVӱJLiWUӏWKXӝFWtQK[WKXӝFNLӇXVӕQXPHULFDODWWULEXWHJLiWUӏJӕFFӫD[ÿѭӧF WәQJTXiWKyDWKjQK>[min,xmax@0D[Yj0LQOҫQOѭӧWOjJLiWUӏOӟQQKҩWYjQKӓQKҩWWURQJ PLӅQJLiWUӏFӫD[WUrQWRjQEӝWұSGӳOLӋX.KLÿyÿӝÿRPҩWPiWOj

IL = (xmax-xmin) / (Max-Min) ĈӕLYӟLWKXӝFWtQKNLӇXQKmQFDWHJRULFDODWWULEXWHÿӇWtQKÿѭӧFÿӝPҩWPiWÿҫX WLrQFҫQ[k\GӵQJPӝWFk\SKkQORҥLQKѭ+uQKӢÿk\TX\ÿӏQKJLiWUӏVL]H\EҵQJVӕ QӕWOiFRQFKiXFӫDQӕW\Yj6L]HOjWәQJVӕQӕWOi

+uQK19tGөYӅPӝWFk\SKkQORҥLWKXӝFWtQK 9tGөJLiWUӏFӫDWKXӝFWtQKÿѭӧFWәQJTXiWKyDWӯHWKjQKFNKLÿyÿӝPҩWPiW ÿѭӧFWtQKOjWKHRF{QJWKӭF

10 ĈӝÿRPҩWPiWWUrQPӝWEҧQJKLÿѭӧc ttnh EҵQJFiFKFӝQJJӝSÿӝPҩWPiWWUrQ WӯQJWKXӝFWtQKYjWUrQFҧWұSGӳOLӋXEҵQJWәQJPҩWPiWFӫDPӑLEҧQJKL'ӵDWUrQKjP ÿRÿӝPҩWPiWQKѭYұ\JLҧLWKXұWҭQGDQKGӳOLӋXÿѭӧFÿѭDUDtrong [14] WUҧLTXDEӕQ JLDL ÿRҥQGrading, Centering, Clustering YjGeneralization (GCCG) JLҧL WKXұW Qj\ ÿӗQJWKӡLFNJQJÿѭӧFVRQJVRQJKyDPӝWVӕEѭӟFQKҵPFҧLWKLӋQKLӋXQăQJ

4 %ҧRYӋWtQKULrQJWѭWURQJ.KDLSKiGӳOLӋX/XұWNӃWKӧS

1KѭÿmJLӟLWKLӋXӣSKҫQI 1KLӋQQD\OѭӧQJGӳOLӋXQJj\FjQJ OӟQbig dataGүQ ÿӃQEQJQәQKXFҫXFKLDVҿGӳOLӋXGӳOLӋXPӣÿӇQKLӅXQJѭӡLFyWKӇVӱGөQJNKDL WKiF1KӳQJSKѭѫQJSKiSNKDLWKiFJLiWUӏFӫDGӳOLӋXWURQJQJӳFҧQKFӫDPi\WtQKFy WKӇJӑLFKXQJOjNKDLSKiGӳOLӋXGDWDPLQLQJ.KDLSKiGӳOLӋXQKҳPWӟLYLӋFWuPUD WURQJWұSGӳOLӋXQKӳQJPүXSDWWHUQKD\WUtFK[XҩWUDQKӳQJWK{QJWLQFytFK.KDLSKi GӳOLӋXEDRJӗPQKLӅXNӻWKXұWWURQJÿySKәELӃQOj

- 3KkQORҥL&ODVVLILFDWLRQ3KkQFKLDGӳOLӋXUDWKjQKQKLӅXOӟSYjJiQQKmQ FKRFK~QJ

- Gom FөP&OXVWHULQJ*RPGӳOLӋXWKjQKFiFFөPJӗPFiFEҧQJKLFy

- +ӗLTX\5HJUHVVLRQ7uPUDKjPELӇXGLӉQPӕLTXDQKӋJLӳDFiFELӃQGӳ OLӋX

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- 7yPWҳW6XPPDUL]DWLRQ7ҥRUDPӝWFiFKELӇXGLӉQWyPOѭӧFFKRWұSGӳ OLӋXWURQJÿyEDRJӗPFҧYLӋFWUӵFTXDQKyDYjWҥRFiFEiRFiR

- /XұWNӃWKӧS$VVRFLDWLRQUXOH7uPUDTX\OXұWNӃWKӧSJLӳDKDLKD\QKLӅX item.ӻWKXұWQj\FQJYӟL3KkQORҥLOjFiFNӻWKXұWSKәELӃQQKҩWWURQJ

4.2 .KDLSKiGӳOLӋX/XұWNӃWKӧSYjYҩQÿӅEҧRYӋWtQKULrQJWѭ

/XұWNӃWKӧSOjPӝWWURQJQKӳQJNӻWKXұWNKDLSKiGӳOLӋXSKәELӃQQKҩW.KDLSKi GӳOLӋX/XұWNӃWKӧSKѭӟQJWӟLYLӋFWuPUDPӕLOLrQKӋOXұWJLӳDFiFitemset WURQJPӝW WұSJLDRGӏFKWUDQVDFWLRQ&KRFѫVӣGӳOLӋX7OjWұSFiFJLDRGӏFKW1, t2ôWn T = {t1, t2ôWn`7JӑLOjFѫVӣGӳOLӋXJLDRGӏFKWUDQVDFWLRQGDWDEDVH0ӛLJLDRGӏFKWi bao JӗPWұSFiFÿӕLWѭӧQJ,JӑLOjLWHPVHWI = {i1, i2ôLm`0ӝWitemset JӗPNitem JӑL Ojk-itemset /XұW;-!@ YӟLFiFFҧLWLӃQÿӇ JL~SFҧLWKLӋQKLӋXQăQJFӫDJLҧLWKXұW, QKӡÿy FyWKӇFKҥ\ WӕWKѫQWUrQFiFWұSGӳOLӋX OӟQ+ӑFYLrQJӑLJLҧLWKXұWQj\Oj U-M3AR

- *7ұSFiFQKyPgroupWҥRÿѭӧFWӯWұSGӳOLӋX'

- _J_.tFKWKѭӟFKD\VӕWKjQKYLrQWURQJQKyPEҧQJKLWXSOHJ

- k-safe group1KyPEҧQJKLWXSOHYӟLVӕWKjQKYLrQNK{QJQKӓKѫQN_J_! N

- k-unsafe group1KyPEҧQJKLWXSOHYӟLVӕWKjQKYLrQQKӓKѫQN_J_N

- UG_SMALL: 7ұSFiFN-unsafe group YӟLNtFKWKѭӟFQKӓKѫQKRһFEҵQJN

- 8*B%,*7ұSFiFN-unsafe group YӟLNtFKWKѭӟFOӟQKѫQN

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- IRUHLJQJ7ұSEҧQJKLWXSOHPjQKyPJQKұQWӯQKyPNKiF

- 5BLQLWLDO7ұSOXұW NKDLSKiEDQÿҫXWUrQ'WҥLFiFQJѭӥQJPLQBVXSYjPLQBFRQI

- R_care: /jWұSFRQFӫD5BLQLWLDOFKӭD FiFOXұWFyWKӇEӏҧQKKѭӣQJEӣLFiFSKpS GLFKX\ӇQ CiFOXұWWURQJWұSQj\FyFKӭDtWQKҩWPӝWJLiWUӏFӫDTXDVLDWWULEXWH

- R_affected(gi, gj7ұSFiFOXұWEӏҧQKKѭӣQJEӣLSKpSGLFKX\ӇQtuple Wӯgroup gi sang group gj

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- %XGJHWU4XӻPjPӝWOXұWUXOHUFzQÿӇFyWKӇWӗQWҥLWK{QJVӕQj\ NKLYӅJLi WUӏkPWKuFyQJX\FѫPҩWOXұWU *ӑLVYjFOҫQOѭӧWOjVXSSRUWYjFRQILGHQFHFӫD rule r: o 1ӃXrKVYӃSKҧLFӫDUFyFKӭDquasi attribute ܤݑ݀݃݁ݐሺݎሻ ൌ ܯܫܰ ൬ݏ െ ̴ǡ ඌݏ כܿ െ ̴ܿ݋݂݊ ܿ ඐ൰ o 1ӃXUKVYӃSKҧLFӫDUNK{QJFKӭDquasi atribute ܤݑ݀݃݁ݐሺݎሻ ൌ ܯܫܰ ൬ݏ െ ̴ǡ ඌݏ כ ሺܿ െ ̴ܿ݋݂݊ሻ ܿ כ ሺͳ െ ̴ܿ݋݂݊ሻඐ൰

- ĈӝUӫLURFӫDgroup Risk(g)QӃXJOjPӝW safe group ÿӝUӫLURFӫDQyEҵQJFzQ QӃXJOjPӝW unsafe group ÿӝUӫLURFӫDQyÿѭӧF WtQKEҵQJN-m ܴ݅ݏ݇ሺ݃ሻ ൌ ൜ Ͳǡ ȁ݃ȁ ൒ ݇ ʹ݇ െ ݉ǡ Ͳ ൏ ȁ݃ȁ ൏ ݇

16 0ӝWSKpSGLFKX\ӇQWXSOHJLӳDgroup gi YjJj FyêQJKƭDNKLPjVDXSKpSGL FKX\ӇQÿyWәQJRisk(g i ) + Risk(g j ) JLҧPÿLNKLÿytWQKҩWPӝWWURQJgroup Fy ÿӝUӫLURYӅ WUӣWKjQKsafe group KRһFJLҧLWiQKRjQWRjQ'RÿyWURQJFiF EѭӟFOһS ÿӇWuPNLӃm group JÿӇGLFKX\ӇQYӟLgroup 6HO*WӕLWKLӇXKjP5LVNOj PӝWWURQJQKӳQJÿLӅXNLӋQTXDQWUӑQJQKҩW

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3KҫQWLӃSWKHR WUuQKEj\PmJLҧFӫDJLҧLWKXұWU-M3AR

1 G = set of groups obtained from D (grouping tuples similar on quasi attributes)

2 Divide G into k-safe groups set SG, k-unsafe group set UG, k-unsafe small group set UG_SMALL (unsafe groups having length k/2)

3 Construct R_care from R_initial (rules may be affected in migration operations, each rule in R_care contains at least 1 quasi attribute)

4 Calculate budget Budget(r) for all the rule r in R_care

5 Sort groups in UG by length ascendingly

3 SelG = UG.pop(0) // Pop the first unsafe group

4 UG_BIG.remove(SelG); UG_SMALL.remove(SelG)

6 remaining_groups = UG_BIG + UG_SMALL + SG

8 remaining_groups = UG_SMALL + UG_BIG + SG

9 Find group g to migrate with SelG in remaining_groups g = find_group_to_migrate(SelG, remaining_groups)

10 if g is None: // No result, continue next iteration

11 UM.add(SelG); SelG = None // SelG will be dispersed

12 else: // There is a result, consider the pair (SelG, g)

13 If migrating n tuples from SelG to g:

14 Update budget of every rule r in

15 If migrating n tuples from g to SelG:

16 Update budget of every rule r in

SG.add(SelG); UG.remove(SelG);

UG_BIG.remove(SelG); UG_SMALL.remove(SelG)

UG_BIG.remove(g); UG_SMALL.remove(g)

19 if SelG is safe and g is safe: SelG = None

20 else: SelG = unsafe group in pair {SelG, g} endwhile

21 if |UM| > 0 for each um in UM: Pop um from UM; Disperse(um)

1 For each tuple t of other groups that has migrated into SelG:

2 Return t to its initial group; |g| += 1

3 Update budget of every rule r in R_affected(g, SelG):

5 For each remaining origin member t of SelG

6 g = find_group_to_move_dispersing(SG)

7 Update budget of every rule r in R_affected(SelG, g):

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