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Integer programming --- Programmation en nombres entiers --- 519.7 --- 681.3*616 --- Programming (Mathematics) --- Mathematical cybernetics --- Computerwetenschap--?*616 --- Integer programming. --- 519.7 Mathematical cybernetics --- Programmation en nombres entiers.

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In 1958, Ralph E. Gomory transformed the field of integer programming when he published a short paper that described his cutting-plane algorithm for pure integer programs and announced that the method could be refined to give a finite algorithm for integer programming. In January of 2008, to commemorate the anniversary of Gomory's seminal paper, a special session celebrating fifty years of integer programming was held in Aussois, France, as part of the 12th Combinatorial Optimization Workshop. This book is based on the material presented during this session. 50 Years of Integer Programming offers an account of featured talks at the 2008 Aussois workshop, namely - Michele Conforti, Gérard Cornuéjols, and Giacomo Zambelli: Polyhedral Approaches to Mixed Integer Linear Programming - William Cook: 50+ Years of Combinatorial Integer Programming - Francois Vanderbeck and Laurence A. Wolsey: Reformulation and Decomposition of Integer Programs The book contains reprints of key historical articles together with new introductions and historical perspectives by the authors: Egon Balas, Michel Balinski, Jack Edmonds, Ralph E. Gomory, Arthur M. Geoffrion, Alan J. Hoffman & Joseph B. Kruskal, Richard M. Karp, Harold W. Kuhn, and Ailsa H. Land & Alison G. Doig. It also contains written versions of survey lectures on six of the hottest topics in the field by distinguished members of the integer programming community: - Friedrich Eisenbrand: Integer Programming and Algorithmic Geometry of Numbers - Raymond Hemmecke, Matthias Köppe, Jon Lee, and Robert Weismantel: Nonlinear Integer Programming - Andrea Lodi: Mixed Integer Programming Computation - Francois Margot: Symmetry in Integer Linear Programming - Franz Rendl: Semidefinite Relaxations for Integer Programming - Jean-Philippe P. Richard and Santanu S. Dey: The Group-Theoretic Approach to Mixed Integer Programming Integer programming holds great promise for the future, and continues to build on its foundations. Indeed, Gomory's finite cutting-plane method for the pure integer case is currently being reexamined and is showing new promise as a practical computational method. This book is a uniquely useful celebration of the past, present and future of this important and active field. Ideal for students and researchers in mathematics, computer science and operations research, it exposes mathematical optimization, in particular integer programming and combinatorial optimization, to a broad audience.

Computer. Automation --- Discrete mathematics --- automatisering --- discrete wiskunde --- Integer programming --- Combinatorial optimization --- Programmation en nombres entiers --- Optimisation combinatoire --- Congresses --- Congrès --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Programming (Mathematics) --- Mathematics --- Mathematical optimization --- Combinatorics

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519.2 --- Experimental design --- Multivariate analysis --- Multivariate distributions --- Multivariate statistical analysis --- Statistical analysis, Multivariate --- Analysis of variance --- Mathematical statistics --- Matrices --- Design of experiments --- Statistical design --- Mathematical optimization --- Research --- Science --- Statistical decision --- Statistics --- Analysis of means --- 519.2 Probability. Mathematical statistics --- Probability. Mathematical statistics --- Experiments --- Methodology --- Plan d'expérience --- Plan d'expérience --- Discrete programmering --- Programmation en nombres entiers --- Programmation lineaire --- Linear Programming. --- Integer programming --- Linear programming --- 519.85 --- 519.85 Mathematical programming --- Mathematical programming --- Production scheduling --- Programming (Mathematics) --- Mathematical control systems --- Programming --- Linear programming. --- Integer programming. --- Experimental design. --- Analyse multivariée --- Programmation en nombres entiers. --- Programmation linéaire. --- Statistique mathematique --- Analyse multivariee

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Operational research. Game theory --- Integer programming --- Programmation en nombres entiers --- 519.85 --- 681.3*F22 --- 681.3*G16 --- Programming (Mathematics) --- Mathematical programming --- Nonnumerical algorithms and problems: complexity of proof procedures; computations on discrete structures; geometrical problems and computations; pattern matching --See also {?681.3*E2-5}; {681.3*G2}; {?681.3*H2-3} --- Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- Integer programming. --- 681.3*G16 Optimization: constrained optimization; gradient methods; integer programming; least squares methods; linear programming; nonlinear programming (Numericalanalysis) --- 681.3*F22 Nonnumerical algorithms and problems: complexity of proof procedures; computations on discrete structures; geometrical problems and computations; pattern matching --See also {?681.3*E2-5}; {681.3*G2}; {?681.3*H2-3} --- 519.85 Mathematical programming --- Programmation en nombres entiers. --- Programmation (mathématiques)

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This volume presents the fundamentals of nonlinear and mixed-integer optimisation, and their applications in the important area of process synthesis in chemical engineering. Topics that are unique include the theory and methods for mixed-integer nonlinear optimisation, introduction to modelling issues in process synthesis, and optimisation-based approaches in the synthesis of heat recovery systems, distillation-based systems, and reactor-based systems.

Chemical process control --- Mathematical optimization. --- Nonlinear theories. --- Integer programming. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Programming (Mathematics) --- Process control --- Mathematical models. --- Chemical engineering --- Chemistry, Industrial --- Engineering, Chemical --- Industrial chemistry --- Engineering --- Chemistry, Technical --- Metallurgy --- Nonlinear programming. --- Optimisation mathématique. --- Programmation non linéaire. --- Programmation en nombres entiers. --- Mathematical optimization --- Nonlinear theories --- Integer programming --- Mathematical models --- Chemical engineering - Mathematical models