Abstract

The statement of a problem of Euclidean combinatorial optimization with a fractional-linear objective function on a common set of permutations and with additional linear constraints is formulated. A problem with a fractional-linear objective function is transformed into that with a linear objective function. An approach is proposed to the solution of such problems, and a method of combinatorial truncation of solutions of problems of combinatorial type with fractional-linear objective functions on permutations is developed.

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