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On the Fine-Grain Decomposition of Multicommodity Transportation Problems

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dc.creator Zenios, Stavros A.
dc.date 2004-05-28T19:27:38Z
dc.date 2004-05-28T19:27:38Z
dc.date 1990-11
dc.date.accessioned 2013-10-09T02:38:16Z
dc.date.available 2013-10-09T02:38:16Z
dc.date.issued 2013-10-09
dc.identifier http://hdl.handle.net/1721.1/5198
dc.identifier.uri http://koha.mediu.edu.my:8181/xmlui/handle/1721
dc.description We develop algorithms for nonlinear problems with multicommodity transportation constraints. The algorithms are of the row-action type and, when properly applied,decompose the underlying graph alternatingly by nodes and edges. Hence, a fine-grain decomposition scheme is developed that is suitable for massively parallel computer architectures of the SIMD (i.e., single instruction stream, multiple data stream) class. Implementations on the Connection Machine CM-2 are discussed for both dense and sparse transportation problems. The dense implementation achieves computing rate of 1.6-3 GFLOPS. Several aspects of the algorithm are investigated empirically. Computational results are reported for the solution of quadratic programs with approximately 10 million columns and 100 thousand rows.
dc.format 2832644 bytes
dc.format application/pdf
dc.language en_US
dc.publisher Massachusetts Institute of Technology, Operations Research Center
dc.relation Operations Research Center Working Paper;OR 236-90
dc.title On the Fine-Grain Decomposition of Multicommodity Transportation Problems
dc.type Working Paper


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