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Network Flows Heuristics for Complementary Cell Suppression: An Empirical Evaluation and Extensions

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Inference Control in Statistical Databases

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2316))

Abstract

Several network flows heuristics have been suggested in the past for the solution of the complementary suppression problem. However, a limited computational experience using them is reported in the literature, and, moreover, they were only appropriate for two-dimensional tables. The purpose of this paper is twofold. First, we perform an empirical comparison of two network flows heuristics. They are improved versions of already existing approaches. Second, we show that extensions of network flows methods (i.e., multicommodity network flows and network flows with side constraints) can model three-dimensional, hierarchical and linked tables. Exploiting this network structure can improve the performance of any solution method solely based on linear programming formulations.

Work supported by the IST-2000-25069 CASC project.

Author supported by CICYT Project TAP99-1075-C02-02.

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References

  1. Ahuja, R.K, Magnanti, T.L., Orlin, J.B.: Network Flows. Prentice Hall (1993)

    Google Scholar 

  2. Birge, J.R., Louveaux, F.: Introduction to Stochastic Programming. Springer (1997)

    Google Scholar 

  3. Bixby, R.E., Fenelon, M., Gu, Z., Rothberg, E., Wunderling, R.: MIP: Theory and practice—Closing the gap. In System Modelling and Optimization. Methods, Theory and Applications, eds. M.J.D. Powell and S. Scholtes. Kluwer (2000) 19–49

    Google Scholar 

  4. Carvalho, F.D., Dellaert, N.P., Osório, M.D.: Statistical disclosure in twodimensional tables: general tables. J. Am. Stat. Assoc. 89 (1994) 1547–1557

    Article  MATH  Google Scholar 

  5. Castro, J.: A specialized interior-point algorithm for multicommodity network flows. SIAM J. on Opt. 10 (2000) 852–877

    Article  MATH  Google Scholar 

  6. Castro, J., Nabona, N. An implementation of linear and nonlinear multicommodity network flows. European Journal of Operational Research 92 (1996) 37–53

    Article  MATH  Google Scholar 

  7. Cox, L.H.: Network models for complementary cell suppression. J. Am. Stat. Assoc. 90 (1995) 1453–1462

    Article  MATH  Google Scholar 

  8. Dellaert, N.P., Luijten, W.A.: Statistical disclosure in general three-dimensional tables. Statistica Neerlandica 53 (1999) 197–221

    Article  MATH  MathSciNet  Google Scholar 

  9. Fischetti, M., Salazar, J.J.: Models and algorithms for the 2-dimensional cell suppression problem in statistical disclosure control. Math. Prog. 84 (1999) 283–312

    MATH  MathSciNet  Google Scholar 

  10. Fischetti, M., Salazar, J.J.: Models and algorithms for optimizing cell suppression in tabular data with linear constraints. J. Am. Stat. Assoc. 95 (2000) 916–928

    Article  Google Scholar 

  11. Fischetti, M., Salazar, J.J.: Partial cell suppression: a new methodology for statistical disclosure control. Working paper, Department of Statistics, Operations Research and Computing, University of La Laguna (1998)

    Google Scholar 

  12. Fourer, R, Gay, D.M., Kernighan, B.W.: AMPL: A Modeling Language for Mathematical Programming. Duxbury Press (1993)

    Google Scholar 

  13. Frangioni, A., Gallo, G: A bundle type dual-ascent approach to linear multicommodity min cost flow problems. INFORMS J. on Comp. 11 (1999) 370–393

    Article  MATH  MathSciNet  Google Scholar 

  14. Giessing, S.: New tools for cell-suppression in π-Argus: one piece of the CASC project work draft. Joint ECE/Eurostat Work Session on Statistical Data Confidentiality, Skopje (2001).

    Google Scholar 

  15. Goldberg, A.V., Oldham, J.D., Plotkin, S., Stein, C.: An implementation of a combinatorial approximation algorithm for minimum-cost multicommodity flow. In Lecture Notes in Computer Sciences. Proceedings of the 6th International Integer Programming and Combinatorial Optimization Conference, eds. R.E. Bixby, E.A. Boyd and R.Z. Ríos-Mercado. Springer (1998)

    Google Scholar 

  16. Gondzio, J, Sarkissian, R.: Parallel interior-point solver for structured linear programs. Technical Report MS-00-025, Department of Mathematics and Statistics, The University of Edinburgh (2000)

    Google Scholar 

  17. ILOG CPLEX: ILOG CPLEX 6.5 Reference Manual Library. ILOG (1999)

    Google Scholar 

  18. Jewett, R.: Disclosure analysis for the 1992 Economic Census. Manuscript, Economic Programming Division, Bureau of the Census (1993)

    Google Scholar 

  19. Kelly, J.P., Golden, B.L, Assad, A.A.: Cell Suppression: disclosure protection for sensitive tabular data. Networks 22 (1992) 28–55

    Article  Google Scholar 

  20. Massell, P.B.: Cell suppression and audit programs used for economic magnitude data. SRD Research Report Series RR2001/01 (2001).

    Google Scholar 

  21. Robertson, D.: Improving Statistic’s Canada cell suppression software (CONFID). Proceedings of Compstat 2000.

    Google Scholar 

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Castro, J. (2002). Network Flows Heuristics for Complementary Cell Suppression: An Empirical Evaluation and Extensions. In: Domingo-Ferrer, J. (eds) Inference Control in Statistical Databases. Lecture Notes in Computer Science, vol 2316. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47804-3_5

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  • DOI: https://doi.org/10.1007/3-540-47804-3_5

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  • Print ISBN: 978-3-540-43614-0

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