1989
DOI: 10.1002/net.3230190507
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Balancing large social accounting matrices with nonlinear network programming

Abstract: We formulate the problem of optimally adjusting the components of a large matrix to satisfy consistency requirements as a nonlinear network optimization model. An efficient network optimization algorithm-GEiNOSis incorporated in a user friendly modeling system-GAMS. The resulting software is used for balancing large Social Accounting Matrices (SAM). We assemble a library of SAM models from developing countries and report computational results.

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Cited by 26 publications
(8 citation statements)
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“…This approach had first been operationlized by Byron (1978) and applied to the System of National Accounts of the UK by Ploeg (1982Ploeg ( , 1984. Zenios, Drud, and Mulvey (1989) further extended this approach to balance a large social accounting matrix in a non-linear network-programming framework. Robinson, Cattaneo, and El-said (2001) provided a way to handle measurement error in cross-entropy minimization via an error-in-variables formulation.…”
mentioning
confidence: 99%
“…This approach had first been operationlized by Byron (1978) and applied to the System of National Accounts of the UK by Ploeg (1982Ploeg ( , 1984. Zenios, Drud, and Mulvey (1989) further extended this approach to balance a large social accounting matrix in a non-linear network-programming framework. Robinson, Cattaneo, and El-said (2001) provided a way to handle measurement error in cross-entropy minimization via an error-in-variables formulation.…”
mentioning
confidence: 99%
“…It appears as a core structure in diverse applications. These applications include the estimation of input-output tables (Bachem and Korte, 1981;Harrigan and Buchanan, 1984;Miller and Blair, 1985;Kaneko, 1988;Antonello, 1990) and inter-regional trade flows in regional science (Batten, 1982;Byron et al, 1993), balancing of social/national accounts in economics (Byron, 1978;Van der Ploeg, 1982Zenios, Drud, and Mulvey, 1989;Nagurney, Kim, and Robinson, 1990), estimating interregional migration in demography (Plane, 1982), the analysis of voting patterns in political science (Johnson, Hay, and Taylor, 1982), the treatment of census data and estimation of contingency tables in statistics (Friedlander, 1961), the estimation of transition probabilities in stochastic modeling (Theil and Rey, 1966), and the projection of traffic within telecommunication and transportation networks (Florian, 1986;Klincewicz, 1989). A comprehensive survey can be found in Schneider and Zenios (1990).…”
Section: Appendix A: Constraint Matrix Balancing Problemmentioning
confidence: 99%
“…This need to set bounds to the variables is present in many other examples. From the more open formulations of Harrigan and Buchanan (1984) to the ones proposed by Zenios, Drud and Mulvay (1989) and Schneider and Zenios (1990). In fact the need of these bounds in twofold.…”
Section: The Ras and The Msce Criteriamentioning
confidence: 99%