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A LINEAR PROGRAMMING APPROACH TO SOLVING INFEASIBLE RAS PROBLEMS
Author(s) -
Möhr Malte,
Crown William H.,
Polenske Karen R.
Publication year - 1987
Publication title -
journal of regional science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.171
H-Index - 79
eISSN - 1467-9787
pISSN - 0022-4146
DOI - 10.1111/j.1467-9787.1987.tb01183.x
Subject(s) - linear programming , construct (python library) , mathematical optimization , computer science , goal programming , mathematics , programming language
The RAS procedure is widely used to update national and regional input‐output 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 U.S. interregional trade data that had previously failed to converge using the RAS procedure.