Treffer: The controlled rounding problem: complexity and computational experience
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Controlled rounding is a procedure whereby tabular data gathered from respondents is perturbed in such a way as to preserve the anonymity of the respondents while maintaining the integrity of the data. Controlled rounding of two-dimensional tables can be represented by a straightforward network flow representation. Three-dimensional controlled rounding problems, on the other hand, have no pure network analog and have been shown to be NP-complete. A number of complexity results associated with the three-dimensional problem and its variants are discussed. In addition, we review several solution procedures for solving two- and three-dimensional problems. The algorithms reviewed are based on network flow models and linear programming techniques embedded within binary search procedures.