Fix-and-relax approaches for controlled tabular adjustment

Controlled tabular adjustment (CTA) is a relatively new protection technique for tabular data protection. CTA formulates a mixed integer linear programming problem, which is challenging for tables of moderate size. Even finding a feasible initial solution may be a challenging task for large instance...

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Published in:	Computers & operations research Vol. 58; pp. 41 - 52
Main Authors:	Baena, Daniel, Castro, Jordi, González, José A.
Format:	Journal Article Publication
Language:	English
Published:	New York Elsevier Ltd 01.06.2015 Pergamon Press Inc
Subjects:	90 Operations research, mathematical programming 90C Mathematical programming Adjustment Approximation Block coordinate descent Classificació AMS Clusters Controlled tabular adjustment CTA Data integrity DATA PROTECTION End users Feasibility pump Fix-and-relax Heuristic Integer programming Investigació operativa Linear programming Matemàtiques i estadística Mathematical models Mathematical problems Mixed integer Mixed-integer linear programming Operations research Partitioning Primal heuristics Programació (Matemàtica) Programming (Mathematics) SOFTWARE Statistical disclosure control Studies TABLES Àrees temàtiques de la UPC Controlled tabular adjustment Statistical disclosure control Block coordinate descent Feasibility pump Fix-and-relax Primal heuristics Mixed-integer linear programming
ISSN:	0305-0548, 1873-765X, 0305-0548
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Abstract	Controlled tabular adjustment (CTA) is a relatively new protection technique for tabular data protection. CTA formulates a mixed integer linear programming problem, which is challenging for tables of moderate size. Even finding a feasible initial solution may be a challenging task for large instances. On the other hand, end users of tabular data protection techniques give priority to fast executions and are thus satisfied in practice with suboptimal solutions. This work has two goals. First, the fix-and-relax (FR) strategy is applied to obtain good feasible initial solutions to large CTA instances. FR is based on partitioning the set of binary variables into clusters to selectively explore a smaller branch-and-cut tree. Secondly, the FR solution is used as a warm start for a block coordinate descent (BCD) heuristic (approach named FR+BCD); BCD was confirmed to be a good option for large CTA instances in an earlier paper by the second and third co-authors (Comput Oper Res 2011;38:1826–35 [23]). We report extensive computational results on a set of real-world and synthetic CTA instances. FR is shown to be competitive compared to CPLEX branch-and-cut in terms of quickly finding either a feasible solution or a good upper bound. FR+BCD improved the quality of FR solutions for approximately 25% and 50% of the synthetic and real-world instances, respectively. FR or FR+BCD provided similar or better solutions in less CPU time than CPLEX for 73% of the difficult real-world instances.
AbstractList	Controlled tabular adjustment (CTA) is a relatively new protection technique for tabular data protection. CTA formulates a mixed integer linear programming problem, which is challenging for tables of moderate size. Even finding a feasible initial solution may be a challenging task for large instances. On the other hand, end users of tabular data protection techniques give priority to fast executions and are thus satisfied in practice with suboptimal solutions. This work has two goals. First, the fix-and-relax (FR) strategy is applied to obtain good feasible initial solutions to large CTA instances. FR is based on partitioning the set of binary variables into clusters to selectively explore a smaller branch-and-cut tree. Secondly, the FR solution is used as a warm start for a block coordinate descent (BCD) heuristic (approach named FR+BCD); BCD was confirmed to be a good option for large CTA instances in an earlier paper by the second and third co-authors (Comput Oper Res 2011;38:1826–35 [23]). We report extensive computational results on a set of real-world and synthetic CTA instances. FR is shown to be competitive compared to CPLEX branch-and-cut in terms of quickly finding either a feasible solution or a good upper bound. FR+BCD improved the quality of FR solutions for approximately 25% and 50% of the synthetic and real-world instances, respectively. FR or FR+BCD provided similar or better solutions in less CPU time than CPLEX for 73% of the difficult real-world instances. Controlled tabular adjustment (CIA) is a relatively new protection technique for tabular data protection. CTA formulates a mixed integer linear programming problem, which is challenging for tables of moderate size. Even finding a feasible initial solution may be a challenging task for large instances. On the other hand, end users of tabular data protection techniques give priority to fast executions and are thus satisfied in practice with suboptimal solutions. This work has two goals. First, the fix-and-relax (FR) strategy is applied to obtain good feasible initial solutions to large CTA instances. FR is based on partitioning the set of binary variables into clusters to selectively explore a smaller branch-and-cut tree. Secondly, the FR solution is used as a warm start for a block coordinate descent (BCD) heuristic (approach named FR+BCD); BCD was confirmed to be a good option for large CTA instances in an earlier paper by the second and third co-authors (Comput Oper Res 2011;38:1826-35 [23]). We report extensive computational results on a set of real-world and synthetic CTA instances. FR is shown to be competitive compared to CPLEX branch-and-cut in terms of quickly finding either a feasible solution or a good upper bound. FR+BCD improved the quality of FR solutions for approximately 25% and 50% of the synthetic and real-world instances, respectively. FR or FR+BCD provided similar or better solutions in less CPU time than CPLEX for 73% of the difficult real-world instances. (C) 2015 Elsevier Ltd. All rights reserved. Peer Reviewed Controlled tabular adjustment (CTA) is a relatively new protection technique for tabular data protection. CTA formulates a mixed integer linear programming problem, which is challenging for tables of moderate size. Even finding a feasible initial solution may be a challenging task for large instances. On the other hand, end users of tabular data protection techniques give priority to fast executions and are thus satisfied in practice with suboptimal solutions. This work has two goals. First, the fix-and-relax (FR) strategy is applied to obtain good feasible initial solutions to large CTA instances. FR is based on partitioning the set of binary variables into clusters to selectively explore a smaller branch-and-cut tree. Secondly, the FR solution is used as a warm start for a block coordinate descent (BCD) heuristic (approach named FR ... BCD); BCD was confirmed to be a good option for large CTA instances in an earlier paper by the second and third co-authors (Comput Oper Res 2011;38:1826-35 [23]). We report extensive computational results on a set of real-world and synthetic CTA instances. FR is shown to be competitive compared to CPLEX branch-and-cut in terms of quickly finding either a feasible solution or a good upper bound. FR ... BCD improved the quality of FR solutions for approximately 25% and 50% of the synthetic and real-world instances, respectively. FR or FR .. BCD provided similar or better solutions in less CPU time than CPLEX for 73% of the difficult real-world instances. (ProQuest: ... denotes formulae/symbols omitted.)
Author	Castro, Jordi Baena, Daniel González, José A.
Author_xml	– sequence: 1 givenname: Daniel surname: Baena fullname: Baena, Daniel email: daniel.baena@upc.edu – sequence: 2 givenname: Jordi orcidid: 0000-0003-3573-4568 surname: Castro fullname: Castro, Jordi email: jordi.castro@upc.edu – sequence: 3 givenname: José A. orcidid: 0000-0002-3113-4779 surname: González fullname: González, José A. email: jose.a.gonzalez@upc.edu
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Snippet	Controlled tabular adjustment (CTA) is a relatively new protection technique for tabular data protection. CTA formulates a mixed integer linear programming... Controlled tabular adjustment (CIA) is a relatively new protection technique for tabular data protection. CTA formulates a mixed integer linear programming...
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SubjectTerms	90 Operations research, mathematical programming 90C Mathematical programming Adjustment Approximation Block coordinate descent Classificació AMS Clusters Controlled tabular adjustment CTA Data integrity DATA PROTECTION End users Feasibility pump Fix-and-relax Heuristic Integer programming Investigació operativa Linear programming Matemàtiques i estadística Mathematical models Mathematical problems Mixed integer Mixed-integer linear programming Operations research Partitioning Primal heuristics Programació (Matemàtica) Programming (Mathematics) SOFTWARE Statistical disclosure control Studies TABLES Àrees temàtiques de la UPC
Title	Fix-and-relax approaches for controlled tabular adjustment
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