Bilevel noniterative interconnected optimization
Todor Stoilov, Krasimira Stoilova
Abstract
Todor Stoilov, Krasimira Stoilova
Abstract
The paper presents a bilevel optimization problem, solved by a noniterative coordination method founded on the approximation of inexplicit upper level optimization problem to well defined analytical problem. The coordination problem founds on ldquoproposition - correctionrdquo operational algorithm which allows to perform limited data transfer between the optimization levels. This coordination benefits the real time operation in multilevel system. Example is provided for the solution of nonlinear steady state optimization control problem.
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The paper presents a bilevel optimization problem, solved by a noniterative coordination method founded on the approximation of inexplicit upper level optimization problem to well defined analytical problem. The coordination problem founds on ldquoproposition - correctionrdquo operational algorithm which allows to perform limited data transfer between the optimization levels. This coordination benefits the real time operation in multilevel system. Example is provided for the solution of nonlinear steady state optimization control problem.
Key concepts: Bilevel optimization, Optimization problem, Mathematical optimization, Computer science, State (computer science), Control (management), Nonlinear system, Coordination game