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Block-angular linear ratio programmes

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  • Said El Noshokaty

Abstract

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.

Suggested Citation

  • Said El Noshokaty, 2014. "Block-angular linear ratio programmes," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 19(3), pages 338-357.
    • Handle: RePEc:ids:ijores:v:19:y:2014:i:3:p:338-357
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    Cited by:

    1. Said El Noshokaty, 2021. "Shipping optimization systems (SOS) for tramp: stochastic cargo soft time windows," Journal of Shipping and Trade, Springer, vol. 6(1), pages 1-19, December.
    2. Said El Noshokaty, 2017. "Shipping Optimisation Systems (SOS): tramp optimisation perspective," Journal of Shipping and Trade, Springer, vol. 2(1), pages 1-36, December.

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