Highly Influenced

7 Excerpts

@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} }

- Published in Informatica, Lith. Acad. Sci. 2016
DOI:10.15388/Informatica.2016.101

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