97 citations · 431 across the 34 of their papers we have counts for
5 papers · 1 filter
Optimal Assignments with Supervisions
Adi Niv, Marie Maccaig, Sergei Sergeev
In this paper we provide a new graph theoretic proof of the tropical Jacobi identity, recently obtained in [AGN16]. We also develop an application of this theorem to optimal assign…
(K,L)-eigenvectors in max-min algebra
Martin Gavalec, Zuzana Nemcova, Sergei Sergeev
Using the concept of (K,L)-eigenvector, we investigate the structure of the max-min eigenspace associated with a given eigenvalue of a matrix in the max-min algebra (also known as…
A Bound for the Rank-One Transient of Inhomogeneous Matrix Products in Special Case
Arthur Kennedy Cochran Patrick, Sergei Sergeev, Štefan Berežný
We consider inhomogeneous matrix products over max-plus algebra, where the matrices in the product satisfy certain assumptions under which the matrix products of sufficient length…
Tropical implementation of the Analytical Hierarchy Process decision method
Nikolai Krivulin, Sergei Sergeev
We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-…
Tropical optimization techniques in multi-criteria decision making with Analytical Hierarchy Process
N. Krivulin, S. Sergeev
We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-…