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Friday, August 7, 2020 | History

3 edition of **Parametric integer optimization** found in the catalog.

Parametric integer optimization

B. Bank

- 3 Want to read
- 34 Currently reading

Published
**1988**
by Akademie-Verlag in Berlin
.

Written in English

- Mathematical optimization.,
- Integer programming.

**Edition Notes**

Bibliography: p. 133-138.

Statement | by Bernd Bank and Reinhard Mandel. |

Series | Mathematical research,, Mathematische Forschung ;, Bd. 39, Mathematical research ;, Bd. 39. |

Contributions | Mandel, Reinhard. |

Classifications | |
---|---|

LC Classifications | QA402.5 .B35 1988 |

The Physical Object | |

Pagination | 138 p. ; |

Number of Pages | 138 |

ID Numbers | |

Open Library | OL2121066M |

ISBN 10 | 3055003985 |

LC Control Number | 88179448 |

Optimization under Uncertainty - Advances in Multi-Parametric Mixed Integer Linear Programming and its Applications Martina Wittmann-Hohlbein Efstratios N. Pistikopoulos QUADS Seminar, DoC Imperial College, File Size: 2MB. Introduction. Mixed-integer linear fractional programming (MILFP) is a category of mixed-integer linear programming (MILP). It is similar to MILP in that it uses the branch and bound is widely used in process engineering for optimizing a wide variety of production processes ranging from petroleum refinery to polymerization processses and may even be applied to evaluation of life.

A method is developed for carrying out parametric analysis on a mixed integer linear program Parametric Mixed Integer Programming: An Application to Solid Waste Management. Larry Jenkins; Larry Jenkins. Parametric optimization of MILP programs and a framework for the parametric optimization of by: The Mathematical Aspects Of Operations Research And Systems Analysis Concerned With Optimization Of Objectives Form The Subject Of This Book. In Its Revised, Updated And Enlarged Third Edition, Discussion On Linear Programming Has Been Expanded And Recast With Greater Emphasis On Duality Theory, Sensitivity Analysis, Parametric Programming, Multiobjective And Goal Programming .

Introduces readers to the Modelling, Control and Optimization of Biomedical Systems (MOBILE) project Presents in detail the theoretical background, computational tools, and methods that are used in all the different biomedical systems Teaches the theory for multi–parametric mixed–integer programming and explicit optimal control of volatile. Mixed integer parametric bilevel programming for optimal strategic bidding of energy producers in day-ahead electricity markets with indivisibilities Optimization, Vol. 62, No. 8 From multi-parametric programming theory to MPC-on-a-chip multi-scale systems applicationsCited by:

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Additional Physical Format: Online version: Bank, B. (Bernd), Parametric integer optimization. Berlin: Akademie-Verlag, (OCoLC) Papalexandri KP, Dimkou TI () A parametric mixed integer optimization algorithm for multi-objective engineering problems involving discrete decisions. Industr Eng Chem Res 37(5)– CrossRef Google Scholar.

An iterative, decomposition-based algorithm is proposed in this paper, for the solution of convex parametric MINLP problems and, in extension, the identification of the noninferior solution set in multiobjective problems involving continuous and discrete decisions.

The parametric optimal solution is constructed via an upper- and lower-bound procedure. Parametric upper bounds are identified Cited by: In this article we will present some developments in the subject of parametric programming for problems involving 0–1 integer variables and nonlinearities in the model.

For pure quadratic integer problems, [ 13 ] proposed an algorithm by extending some of the concepts described in [ 10 ] for the case of linear models.

Chapter 4. Parametric optimization 35 Parametric equations and the Implicit Function Theorem 35 Parametric unconstrained minimization problems 37 Parametric linear programs 40 Parametric nonlinear constrained programs 42 Chapter 5.

General continuity properties of parametric programs 49 Introduction 49 This book is an encyclopedic resource for such formulations, as well as for understanding the structure of and solving the resulting integer programming problems."-Computing Reviews "[This book] can serve as a basis for various graduate courses on discrete optimization as well as a reference book for researchers and practitioners."-Mathematical Reviews.

the Voice of Optimization framework proposed in [BS18]. In this way the core part of the optimization algorithm becomes a multiclass clas-si cation problem which can be solved very quickly. Parametric integer optimization book In this work we extend that framework to real-time and high-speed applications focus-ing on parametric mixed-integer quadratic optimization (MIQO).

WeFile Size: KB. Modelling Optimization and Control of Biomedical Systems covers: Teaches the theory for multi-parametric mixed-integer programming and explicit optimal control of volatile anaesthesia; Provides an overview of the framework for modelling, optimization, and control of biomedical systems; This book will appeal to students, researchers, and.

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Parametric integer programming is a method that was introduced by Feautrier [50]. It can solve ILPs that contain parametric lower and upper bounds for variables. The run-time complexity of. Michalis N. Zervas, in Optical Fiber Telecommunications (Sixth Edition), Inverse-engineered designs with ultimate efficiency.

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Introduction. The paper discusses an optimal design of single-story industrial steel building structures based on the mathematical programming approach.

Single-bay structures are considered here, composed from equal main frames with pitched roof beams, and Cited by: 7. Provides an overview of the framework for modelling, optimization, and control of biomedical systems This book will appeal to students, researchers, and scientists working on the modelling, control, and optimization of biomedical systems and to those involved in cancer treatment, anaesthsia, and drug delivery : Hardcover.

Online Mixed-Integer Optimization in Milliseconds. 07/04/ ∙ by Dimitris Bertsimas, et al. ∙ 0 ∙ share. We propose a method to solve online mixed-integer optimization (MIO) problems at very high speed using machine exploiting the repetitive nature of online optimization, we are able to greatly speedup the solution time.

Mixed Integer Bilevel Optimization through Multi-parametric Programming S. Avraamidou 1,2, N. Diangelakis and E. Pistikopoulos 2,3 1Centre for Process Systems Engineering, Department of Chemical Engineering, Imperial College London, London, UK SW7 2AZ 2Artie McFerrin Department of Chemical Engineering, Texas A&M University, College Station, TX A parametric mixed-integer global optimization framework for the solution of process engineering problems under uncertainty.

Computers and Chemical Engineering23 (SUPPL. 1), SS Georgiadis, M. C.; Pistikopoulos, E. This paper deals with the global solution of the general multi-parametric mixed integer linear programming problem with uncertainty in the entries of the constraint matrix, the right-hand side vector, and in the coefficients of the objective function.

Multiparametric programming Tags: Multi-parametric programming Updated: Septem This tutorial requires MPT. YALMIP can be used to calculate explicit solutions of parametric linear and quadratic programs by interfacing the Multi-Parametric Toolbox tutorial assumes that the reader is familiar with parametric programming and the basics of MPT.

In this paper we present novel theoretical and algorithmic developments for the solution of mixed-integer optimization problems involving uncertainty, which can be posed as multiparametric mixed-integer optimization models, where uncertainty is described by a set of parameters bounded between lower and upper bounds.

In particular, we address convex nonlinear formulations involving (i) 0−1 Cited by: The book introduces both the theory and the application of optimization in the parametric self-dual simplex method.

The latest edition now includes: modern Machine Learning applications; a section explaining Gomory Cuts and an application of integer programming to solve Sudoku : Springer International Publishing.Mixed-Integer Nonlinear Optimization Pietro Belotti1, Christian Kirches2, Sven Leyffer3, Jeff Linderoth4, James Luedtke5, and Ashutosh Mahajan6 1Department of Mathematical Sciences, Clemson University 2Interdisciplinary Center for Scientiﬁc Computing, Heidelberg University, and Mathematics and Computer Science Division, Argonne National Laboratory 3Mathematics and Computer Science File Size: 1MB.