Tropical algebra for noise removal and optimal control

CM Gong, J Peng, J Wang - Journal of Low Frequency …, 2023 - journals.sagepub.com
Algorithms for noise removal are either complex or ineffective, and the optimal control with
inequality constrains makes the algorithm even more complex. Now the condition is …

Direct solution to constrained tropical optimization problems with application to project scheduling

N Krivulin - Computational Management Science, 2017 - Springer
We examine a new optimization problem formulated in the tropical mathematics setting as a
further extension of certain known problems. The problem is to minimize a nonlinear …

Tropical optimization problems in time-constrained project scheduling

N Krivulin - Optimization, 2017 - Taylor & Francis
We consider a project that consists of activities to be performed in parallel under various
temporal constraints, which include start-start, start-finish and finish-start precedence …

Tropical implementation of the Analytical Hierarchy Process decision method

N Krivulin, S Sergeev - Fuzzy Sets and Systems, 2019 - Elsevier
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 …

Solution of Traveling Salesman Problem with hotel selection in the framework of MILP-Tropical optimization

M Radmanesh, M Kumar, A Nemati… - 2016 American Control …, 2016 - ieeexplore.ieee.org
In this paper, Traveling Salesman Problem with Hotel Selection (TSPHS), an extension of
the Traveling Salesman Problem (TSP) has been considered. A mathematical formulation …

Using tropical optimization techniques in bi-criteria decision problems

N Krivulin - Computational Management Science, 2020 - Springer
We consider decision problems of rating alternatives based on their pairwise comparisons
according to two criteria. Given pairwise comparison matrices for each criterion, the problem …

Algebraic solution of a problem of optimal project scheduling in project management

NK Krivulin, SA Gubanov - Vestnik St. Petersburg University, Mathematics, 2021 - Springer
A problem of the optimal scheduling is considered for a project that consists of a certain set
of works to be performed under given constraints on the time of starting and finishing the …

Algebraic solution of project scheduling problems with temporal constraints

N Krivulin, S Gubanov - Operational Research, 2024 - Springer
New solutions for problems in optimal scheduling of activities in a project under temporal
constraints are developed in the framework of tropical algebra which deals with the theory …

Tropical optimization technique in bi-objective project scheduling under temporal constraints

N Krivulin - Computational Management Science, 2020 - Springer
We consider a project that consists of a set of activities performed in parallel under
constraints on their start and finish times, including start-finish precedence relationships …

Minimizing maximum lateness in two-stage projects by tropical optimization

N Krivulin, S Sergeev - arXiv preprint arXiv:2108.06425, 2021 - arxiv.org
We are considering a two-stage optimal scheduling problem, which involves two similar
projects with the same starting times for workers and the same deadlines for tasks. It is …