University of Birmingham > Talks@bham > Optimisation and Numerical Analysis Seminars > On tropical linear and integer programs

On tropical linear and integer programs

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  • UserPeter Butkovic (University of Birmingham)
  • ClockThursday 23 February 2017, 12:00-13:00
  • HouseUniversity House, 110.

If you have a question about this talk, please contact Sergey Sergeev.

We present simple compact proofs of the strong and weak duality theorems of tropical linear programming. It follows that there is no duality gap for a pair of tropical primal-dual problems. This result together with known properties of subeigenvectors enables us to directly solve a special tropical linear program with two-sided constraints. We also study the duality gap in tropical integer linear programming. A direct solution is available for the primal problem. An algorithm of quadratic complexity is presented for the dual problem. A direct solution is available provided that all coefficients of the objective function are integer. This solution provides a good estimate of the optimal objective function value in the general case.

This talk is part of the Optimisation and Numerical Analysis Seminars series.

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