A subgradient-based branch-and-bound algorithm for the ...
A subgradient-based branch-and-bound algorithm for the ...
A subgradient-based branch-and-bound algorithm for the ...
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dual <strong>bound</strong> resulting from relaxing dem<strong>and</strong> constraints in <strong>the</strong> CFLP. (ii) This Lagrangean<br />
dual <strong>bound</strong> is generally a sharp lower <strong>bound</strong> on <strong>the</strong> optimal objective<br />
function value of <strong>the</strong> CFLP. (iii) The number of binary variables is only a small percentage<br />
of <strong>the</strong> total number of variables. The good results obtained <strong>for</strong> <strong>the</strong> CFLP<br />
with this <strong>subgradient</strong>-<strong>based</strong> approach <strong>and</strong> <strong>the</strong> simple averaging of Lagrangean solutions<br />
<strong>for</strong> primal solution recovery suggests that similar results may possibly also be<br />
obtainable <strong>for</strong> mixed-integer programming problems, which only show a relatively<br />
small number of integer variables <strong>and</strong> where <strong>subgradient</strong> optimization works well in<br />
providing sharp lower <strong>bound</strong>s.<br />
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