Optimal Triangulation of Large Real World input- output Matrices

Jünger, Michael and Grötschel, Martin and Reinelt, Gerhard (1984) Optimal Triangulation of Large Real World input- output Matrices.
Published in: Statistische Hefte (25). pp. 261-295.


In this paper we present optimum triangulations of a large number of inputoutput matrices. In particular, we report about a series of (44,44)-matrices of the years 1959, 1965, 1970, 1975 of the countries of the European Community, about all (56,56)-matrices compiled by Deutsches Institut fHr Wirtschaftsforschung for the Federal Republic of Germany, and about the (60,60)-matrices of the Statistisches Bundesamt of the Federal Republic of Germany. These optimum triangulations were obtained with a code developed by the authors which utilizes new polyhedral results for the triangulation problem in a linear programming cutting plane framework. With this code the range of solvability of triangulation problems was more than doubled (in terms of sector numbers) compared to previous work. In particular, for none of the triangulation problems mentioned above optimum solutions were known before. Moreover, we discuss various claims about properties of optimum solu tions made in the literature and question some common concepts of analysing triangulated input-output matrices.

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Date Deposited: 27 Sep 2010 13:19
Last Modified: 04 Jul 2014 09:34
URI: http://e-archive.informatik.uni-koeln.de/id/eprint/819