Journal ArticleDOI
Decentralized optimization for distributed-lag models of discrete systems
TLDR
It is shown that by solving the dual problem the delay terms can be easily handled and the optimal solution to the original problem is obtained without reducing the multi-dimensional high-order system equation to a conventional larger dimensional first- order system equation.About:
This article is published in Automatica.The article was published on 1975-11-01. It has received 125 citations till now. The article focuses on the topics: Optimization problem & Constraint satisfaction dual problem.read more
Citations
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Journal ArticleDOI
Modelling the dynamics of supply chains
TL;DR: A judgement is made on whether the merits of operational research techniques justify their predominance in industry over the other methods presented here.
Journal ArticleDOI
Multilevel Systems Control and Applications: A Survey
TL;DR: The general theory of multilevel systems is outlined, and basic related issues are presented and extensions to other research areas as well as prospects for future investigations are delineated.
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Guaranteed cost control of uncertain discrete systems with delays
Magdi S. Mahmoud,Lihua Xie +1 more
TL;DR: In this article, robust performance analysis and control synthesis for a class of discrete-time systems with parameter uncertainty and unknown state-delay is addressed, and a robust state-feedback controller can be constructed to render the closed-loop system robustly stable while guaranteeing a prescribed level of performance.
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Optimal Generation Scheduling of Hydrothermal Power Systems
TL;DR: In this paper, decomposition and coordination techniques are applied to minimize the operation cost of large-scale hydropower systems, including thermal operation costs and hydroelectric power generation as nonlinear functions, water head variations, stochastic load demands, hydraulic networks with cascade plants, time delays and spilling.
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Coordinated control of manufacturing/supply chains using multi-level techniques
TL;DR: In this paper, the authors considered the problem of optimizing the operation of an autonomous manufacturing/supply chain, where each level in the chain may add some delay in the materials' procurement due to the extra processing taking place or to the time required to supply the corresponding materials.
References
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Book
Optimization by Vector Space Methods
TL;DR: This book shows engineers how to use optimization theory to solve complex problems with a minimum of mathematics and unifies the large field of optimization with a few geometric principles.
Journal ArticleDOI
The Gradient Projection Method for Nonlinear Programming. Part I. Linear Constraints
TL;DR: The gradient projection method was originally presented to the American Mathematical Society for solving linear programming problems by Dantzig et al. as discussed by the authors, and has been applied to nonlinear programming problems as well.