Uncertainty-aware integration of control with process operations and multi-parametric programming under global uncertainty. (2020)

• Record Type: Book
• Further Information: Note: Vassilis M. Charitopoulos.
• Other Names: Charitopoulos, Vassilis M
• Contents: Intro -- Supervisor's Foreword -- Abstract -- Preface -- Parts of this thesis have been published in the following journal articles: -- Acknowledgements -- Contents -- List of Figures -- List of Tables -- List of Algorithms -- 1 Thesis Background -- 1.1 Introduction and Research Questions -- 1.2 Thesis Scope and Outline -- Part I Theoretical and Algorithmic Advances in Multi-parametric Programming Problems Under Global Uncertainty -- 2 Parametric Optimisation: 65 years of developments and status quo -- 2.1 Introduction -- 2.2 The Early Days of Parametric Optimisation: 1952 -- 1967 2.3 Dawn of Multi-parametric Optimisation ... -- 2.3.1 From Parametric to Multi-parametric Linear Programming -- 2.3.2 From Sensitivity Analysis to Parametric Nonlinear Programming -- 2.3.3 Sensitivity Analysis and Parametric Integer Programming -- 2.4 Process Systems Engineering Led Multi-parametric Optimisation: 1993 -- Present -- 2.4.1 Multi-parametric (Mixed Integer) Linear Programming -- 2.4.2 Multi-parametric (Mixed Integer) Quadratic Programming -- 2.4.3 Multi-parametric Linear Complementarity Problems -- 2.4.4 Multi-parametric (Mixed Integer) Nonlinear Programming -- 2.4.5 Convex Problems 2.4.6 Non-convex Problems -- 2.4.7 Multi-parametric Dynamic Optimisation -- 2.5 Major Application Areas -- 2.5.1 Multi-parametric Multi-level Optimisation -- 2.5.2 Multi-parametric Model Predictive Control -- 2.5.3 Enterprise Wide Optimisation Under Uncertainty -- 2.5.4 Multi-objective Optimisation -- 2.5.5 Other Application Areas -- 2.6 Complexity Issues in Multi-parametric Optimisation Problems -- 2.6.1 Degeneracy Implications in mp-LPs/mp-QPs -- 2.6.2 Computational Complexity of mp-P Algorithms and Reduction Strategies -- 2.7 Software Implementations -- 2.8 Conclusions-Quo vandis? 3.4.5 Case Study 1: Process Synthesis Under Global Uncertainty -- 3.4.6 Case Study 2: Process Scheduling Under Global Uncertainty -- 3.5 Discussion -- 3.5.1 Scalability of the Proposed Algorithm -- 3.5.2 Non-convexity of the Underlying Problem -- 3.6 Concluding Remarks -- References -- 4 Towards Exact Multi-setpoint Explicit Controllers for Enterprise Wide Optimisation -- 4.1 Introduction -- 4.2 Multi-parametric Algorithms and Explicit MPC -- 4.2.1 Multi-setpoint Explicit Controllers via Multi-parametric Programming -- 4.2.2 An Algorithm for the Global Solution of mp-NLPs
• Publisher Details: Cham : Springer
• Publication Date: 2020
• Extent: 1 online resource (285 pages)
• Subjects: 003/.54; Uncertainty (Information theory); System theory; Decision making; Decision making; System theory; Uncertainty (Information theory); Electronic books
• Languages: English
• ISBNs: 9783030381370; 3030381374
• Related ISBNs: 9783030381363
• Notes: Note: References-3 Multi-parametric Linear and Mixed Integer Linear Programming Under Global Uncertainty-3.1 Introduction-3.2 Global Uncertainty in Multi-parametric Linear Programs-3.2.1 A Computer Algebra Inspired Algorithm-3.2.2 Cylindrical Algebraic Decomposition and Comparison Procedure for Overlapping CRs-3.3 Global Uncertainty in General mp-MILPs-3.4 Computational Studies-3.4.1 Parametric Linear Program with LHS Unbounded Parameter-3.4.2 Discontinuous Mp-LP with LHS Uncertainty-3.4.3 Mp-LP Under Global Uncertainty-3.4.4 Mp-MILP Under Global Uncertainty; Note: Includes bibliographical references.; Note: Print version record.
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