Linear Programming Estimates of Changes in Input Coefficients

Matuszewski, T. I.; Pitts, P. R.; Sawyer, John A.

doi:10.2307/139556

Cited by 40 publications

(14 citation statements)

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“…This relationship between the RAS and the WMSCE criteria has also been demonstrated in the past (Macgill, 1977). Extending the results obtained by McDougall (1999) to the WMSCE the optimal solution to this problem is the following one: Matuszewski, Pitts and Sawyer (1964) were the first to propose an adjustment technique expressed as linear programs. Their problem was formulated as follows: Since the new vector of production was known to Matuszewski, Pitts and Sawyer (1964), they switched from using coefficients to flows taking the inverse of the new known values of effective production as weights.…”

Section: The Ras and The Msce Criteriasupporting

confidence: 68%

“…Extending the results obtained by McDougall (1999) to the WMSCE the optimal solution to this problem is the following one: Matuszewski, Pitts and Sawyer (1964) were the first to propose an adjustment technique expressed as linear programs. Their problem was formulated as follows: Since the new vector of production was known to Matuszewski, Pitts and Sawyer (1964), they switched from using coefficients to flows taking the inverse of the new known values of effective production as weights. They converted this nonlinear formulation into a linear one by including two new positive variables for each of the elements to be updated, avoiding the existing nonlinearity in the objective function due to the calculation of absolute values.…”

Section: The Ras and The Msce Criteriamentioning

confidence: 95%

“…Both represent a classical and a very recent AUP respectively, that are very closely related to each other. Moreover we summarize the main characteristics of the approach proposed by Matuszewski, Pitts and Sawyer (1964) which serves as basis of our proposals.…”

Section: Updating and Adjustment Criteriamentioning

confidence: 99%

“…First, we propose different formulations that try to obtain a more homogeneous relative adjustment of the structural coefficients while reducing the non-linearity of the programs in order to ease obtaining a solution. These formulations combine the approach proposed by Matuszewski, Pitts and Sawyer (1964) with other adjustment criteria Second, we try to test the usefulness of this proposal by comparing its results with the ones obtained by more standard approaches (RAS and the minimum sum of cross entropies criterion). We are able to show that these approaches tend to produce, under certain conditions, a less homogeneous pattern of coefficient adjustment than the ones we propose.…”

Section: Introductionmentioning

confidence: 99%

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New Nonlinear Approaches for the Adjustment and Updating of a SAM

Manrique-de-Lara-Peñate

Peñate

2003

Economics of Planning

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SAM AbstractWe believe that any adjustment and updating process (AUP) should try to minimize the relative deviation of the new coefficients from the initial ones in a homogeneous way. This homogeneity would mean that the magnitude of this relative deviation is similar among the elements of each row or column, therefore avoiding the concentration of the changes in particular cells of the SAM.In this work, we propose some new adjustment criteria in order to obtain a homogeneous relative adjustment of the structural coefficients. We also test the usefulness of this proposal by comparing its results with the ones obtained by more standard approaches. ResumenEn nuestra opinión, todo proceso de ajuste y actualización debe procurar minimizar las desviaciones relativas entre los nuevos coeficientes y los iniciales de la forma más homogénea posible. Esta homogeneidad haría que la magnitud de la desviación relativa fuera similar a lo largo de los elementos de una columna o fila, evitando así que los cambios en los coeficientes se concentren en celdas particulares de la Matriz de Contabilidad Social.En este trabajo, proponemos nuevos enfoques de ajuste que permiten obtener un ajuste más homogéneo de los coeficientes estructurales. Igualmente comparamos la utilidad de nuestra propuesta con métodos más estándar.3

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Section: The Ras and The Msce Criteriasupporting

confidence: 68%

Section: The Ras and The Msce Criteriamentioning

confidence: 95%

Section: Updating and Adjustment Criteriamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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New Nonlinear Approaches for the Adjustment and Updating of a SAM

Manrique-de-Lara-Peñate

Peñate

2003

Economics of Planning

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“…Or, are there other types of data matrices with only a few zero cells, but structured in such a way that convergence will not occur? How might constraints of the type used by Matuszewski, Pitts, and Sawyer (1964), Batten (1982Batten ( , 1983, or Davis, Lofting, and Sathaye (1977) exacerbate the problem of convergence? Batten, for example, discusses the problem of capacity constraints on a transportation network that may interfere with the solution of any iterative procedure.…”

Section: T-o) Ti(t-o)mentioning

confidence: 99%

A Linear Programming Approach to Solving Infeasible Ras Problems

Möhr

Crown

Polenske

1987

Journal of Regional Science

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The RAS procedure is widely used to update national and regional inputoutput tables and international trade tables and to construct regional tables from national ones. Special problems, however, have been encountered when the procedure is used to adjust interregional trade tables. In this paper, the special properties of interregional trade tables that increase the likelihood of nonconvergence of the RAS procedure are discussed, and two linear programming methods of solving infeasible RAS problems are provided. First, a closed linear programming approach, which enables exogenous information to override the purely mechanical solution of infeasible RAS problems, is presented. Finally, the open linear programming approach is applied successfully to adjust US. interregional trade data that had previously failed to converge using the RAS procedure.The major purpose of this paper is to present a new way in which interregional trade flows can be adjusted to marginal control totals through the combined use of two estimation techniques: the RAS and linear programming procedures. There is a large and growing literature on the use of nonsurvey techniques to estimate input-output tables, but only a few attempts have been made to use nonsurvey techniques for the adjustment or estimation of interregional trade flows. Of the numerous nonsurvey techniques that have been developed, the RAS procedure is one of the most widely used for input-output tables. It is so named because it involves the estimation of an unknown matrix from a known matrix, A, subject to row and column control totals R and S, respectively. An extensive survey of the use of the procedure on input-output data is provided in an earlier paper by the three authors [Polenske, Crown, and Mohr (1986)l.In the first section of this paper, a brief introduction is given to the RAS procedure, and a review is provided of the four known attempts to use the RAS procedure for adjustments of trade-flow tables. In the second section, the theoretical and empirical issues related to the present study are provided. In the third section, two new theoretical proofs concerning a linear programming procedure for determining critical cells in the tables are set forth. In the fourth section, applications of the proposed RAS and linear programming procedures to the multiregional input-output (MRIO) data are discussed. In the final section, major conclusions of the research are presented, with emphasis on the similarities and differences in the use of the RAS procedure for interregional trade tables versus its

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Current Uses of the RAS Technique: A Critical Review

Polenske¹

1997

Prices, Growth and Cycles

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Linear Programming Estimates of Changes in Input Coefficients

Cited by 40 publications

References 2 publications

New Nonlinear Approaches for the Adjustment and Updating of a SAM

New Nonlinear Approaches for the Adjustment and Updating of a SAM

A Linear Programming Approach to Solving Infeasible Ras Problems

Current Uses of the RAS Technique: A Critical Review

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