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On the degree of decomposition in linear programming
Volume 7, Issue 3 (1996), pp. 337–348
James K. Ho   Etienne Loute  

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https://doi.org/10.3233/INF-1996-7304
Pub. online: 1 January 1996      Type: Research Article     

Published
1 January 1996

Abstract

In the application of Dantzig–Wolfe decomposition to block-angular linear programming problems with R natural blocks. it is possible to have from 1 to R subproblems structurally while solving all R independent subproblems computationally. Early literature on the topic was inconclusive regarding the relative merits of such formulations. This paper attempts clarification by characterizing the significance of the degree of decomposition as well as presenting extensive empirical results.

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Keywords
linear programming decomposition computational mathematical programming

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INFORMATICA

  • Online ISSN: 1822-8844
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