Mixed integer programming with convex/concave constraints: Fixed-parameter tractability and applications to multicovering and voting

THEORETICAL COMPUTER SCIENCE, pp. 86-105, 2020.

Cited by: 13|Views70
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Abstract:

A classic result of Lenstra [Math. Oper. Res. 1983] says that an integer linear program can be solved in fixed-parameter tractable (FPT) time for the parameterization by the number of variables. We extend this result by incorporating piecewise linear convex or concave functions to our (mixed) integer programs. This general technique allow...More

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