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Journal article

Block-angular linear ratio programmes

Said El Noshokaty

International Journal of Operational Research1 Jan 2014

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The general form of linear ratio programmes has been discussed before. The block-angular form of linear ratio programmes is here discussed for the first time in literature. This form can be solved by modified Dantzig-Wolfe decomposition principle. If the problem has mixed continuous 0-1 variables, modified upper-bound simplex criteria and modified branch-and-bound algorithm are used. Computational experiment proved efficiency of the block-angular form if compared to the general form. Cargo transportation by ship, airplane, truck, or train is a good application candidate of block-angular form of linear ratio programmes. A tramp shipping model is presented to show one possible application in transportation.

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Published
1 Jan 2014
Publisher
Inderscience Publishers
Issue
Volume 19 · Issue 3 · Pages 338–338
ISSN
1745-7645
Language
EN

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