Activities per year
Abstract
We consider constrained tropical optimization problems in which two objective functions are minimized simultaneously in the linear space of vectors over idempotent semifield. The objective functions in the problems take a form that includes both the unknown vector and its conjugate transpose, and are sometimes called tropical pseudolinear and pseudoquadratic functions. The feasible solution set is defined by linear vector inequalities and box constraints. To solve such a biobjective problem, we follow an approach that involves the introduction of two parameters to represent the minimum values of the objective functions and thereby describe the Pareto frontier for the problem. The optimization problem then reduces to a system of parametrized vector inequalities. We exploit the necessary and sufficient conditions for solutions of the system to derive the Pareto frontier. All solutions of the system, which correspond to the Pareto frontier, are taken as a complete Paretooptimal solution to the problem. As practical illustrations, we offer applications of the results obtained to solve bicriteria decisionmaking problems of rating alternatives through pairwise comparisons and bicriteria project management problems of project scheduling under temporal constraints.
Original language  English 

Number of pages  1 
State  Published  May 2021 
Event  SIAM Conference on Applied Linear Algebra  Virtual Conference, New Orleans, United States Duration: 17 May 2021 → 21 May 2021 https://www.siam.org/conferences/cm/conference/la21 
Conference
Conference  SIAM Conference on Applied Linear Algebra 

Abbreviated title  SIAM LA21 
Country/Territory  United States 
City  New Orleans 
Period  17/05/21 → 21/05/21 
Internet address 
Scopus subject areas
 Management Science and Operations Research
 Control and Optimization
 Algebra and Number Theory
Activities
 1 Participating in a conference, workshop, ...

SIAM Conference on Applied Linear Algebra
Николай Кимович Кривулин (Participant)
17 May 2021 → 21 May 2021Activity: Attendance types › Participating in a conference, workshop, ...