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A branch and bound algorithm to globally solve the sum of several linear ratios. (English) Zbl 1079.65071
The authors develop a branch and bound globally convergent algorithm for optimizing the sum of several linear fractional functions over a polytope by solving a series of linear programming problems. Some numerical results are presented.

MSC:
65K05 Numerical mathematical programming methods
90C32 Fractional programming
90C57 Polyhedral combinatorics, branch-and-bound, branch-and-cut
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