A maximization problem in tropical mathematics: a complete solution and application examples

@article{Krivulin2016AMP,
  title={A maximization problem in tropical mathematics: a complete solution and application examples},
  author={Nikolai Krivulin},
  journal={Informatica, Lith. Acad. Sci.},
  year={2016},
  volume={27},
  pages={587-606}
}
A multidimensional optimization problem is formulated in the tropical mathematics setting as to maximize a nonlinear objective function, which is defined through a multiplicative conjugate transposition operator on vectors in a finite-dimensional semimodule over a general idempotent semifield. The study is motivated by problems drawn from project scheduling, where the deviation between initiation or completion times of activities in a project is to be maximized subject to various precedence… CONTINUE READING
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