Reduced order models in PIDE constrained optimization
Résolution d'un programme quadratique en variantes bivalentes par décomposition application au placement de commutateurs dans un réseau
Special issue on decentralized control of large scale complex systems
This special issue provides information on current and future research directions in the emerging field of Decentralized Control of Large Scale Complex Systems. There is generally adopted view that a dynamic system is large scale complex whenever it is necessary to partition its analysis or synthesis problem to manageable subproblems. Its fundamental characteristics in modeling and control are high dimensionality, uncertainty, information structure constraints, and delays. Theory of large scale...
Stochastic algorithms for buffer allocation in reliable production lines.
Time domain decomposition in final value optimal control of the Maxwell system
We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable for real-time...
Time Domain Decomposition in Final Value Optimal Control of the Maxwell System
We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable for real-time...
Total decomposition and block numerical range.
Two-stage stochastic programming approach to a PDE-constrained steel production problem with the moving interface
The paper is concerned with a parallel implementation of the progressive hedging algorithm (PHA) which is applicable for the solution of stochastic optimization problems. We utilized the Message Passing Interface (MPI) and the General Algebraic Modelling System (GAMS) to concurrently solve the scenario-related subproblems in parallel manner. The standalone application combining the PHA, MPI, and GAMS was programmed in C++. The created software was successfully applied to a steel production problem...
Une méthode multigrille pour la solution des problèmes d'obstacle
Variational problems with moving boundaries using decomposition method.
Warm-start cuts for Generalized Benders Decomposition
In this paper, we describe a decomposition algorithm suitable for two-stage convex stochastic programs known as Generalized Benders Decomposition. For this algorithm we propose a new reformulation that incorporates a lower bound cut that serves as a warm-start, decreasing the overall computation time. Additionally, we test the performance of the proposed reformulation on two modifications of the algorithm (bunching and multicut) using numerical examples. The numerical part is programmed in MATLAB...
Декомпозиционные алгоритмы решения обобщенных задач дробно-линейного программирования
Декомпозиционные методы в дробно-линейном программировании