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Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business. .
Integer programming. --- Linear programming. --- Convex domains. --- Convex regions --- Convexity --- Calculus of variations --- Convex geometry --- Point set theory --- Production scheduling --- Programming (Mathematics) --- Matrix theory. --- Mathematics. --- Algorithms. --- Combinatorics. --- Mathematical optimization. --- Operations research. --- Linear and Multilinear Algebras, Matrix Theory. --- Game Theory, Economics, Social and Behav. Sciences. --- Optimization. --- Operations Research/Decision Theory. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Combinatorics --- Algebra --- Algorism --- Arithmetic --- Math --- Science --- Foundations --- Algebra. --- Game theory. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Decision making
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Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business. .
Algebra --- Numerical methods of optimisation --- Operational research. Game theory --- Discrete mathematics --- Mathematical statistics --- Mathematics --- Planning (firm) --- Computer science --- Computer. Automation --- algebra --- matrices --- discrete wiskunde --- automatisering --- mathematische modellen --- speltheorie --- econometrie --- wiskunde --- algoritmen --- operationeel onderzoek
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Jews --- Balas, Egon.
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Wieviele Schritte muss ein Mensch gehen und wie gefährlich sind seine Wege, wieviel Leid erträgt ein Mensch und woher nimmt er die Kraft, um die einzige Bahn zu beschreiten, die für ihn wichtig ist: die zur Freiheit ohne Verlust seiner Rechtschaffenheit? Egon Balas erzählt in dieser ungemein fesselnd geschriebenen Autobiographie von den Wegen, die ihn aus Transsilvanien nach Pennsylvania führten, auf denen der 1922 in Klausenburg (Kolozsvár – ung., Cluj – rum.) geborene Sohn einer ungarisch-jüdischen Familie zum berühmten Mathematiker wurde, der seit 1966 in den USA lebt. Die Leser des Buches werden auf eine erstaunliche Lebensreise mitgenommen, sie erfahren von großem Mut und grenzenlosem Optimismus. Balas erlebte als Heranwachsender den Zusammenbruch der alten, vermeintlich sicheren Ordnung, schloss sich 1942 der Kommunistischen Partei Ungarns an, kämpfte im Untergrund gegen den Faschismus, wurde eingesperrt, gefoltert und konnte schließlich in den Kriegswirren fliehen. Mit seiner Geschichte gibt der Autor auch einen Einblick in die Tragödie der Siebenbürger Juden, deren Mehrzahl in den Jahren 1942-1944 ermordet wurde. Von den dreißig Mitgliedern der Balas-Familie überlebten nur sieben. Egon Balas’ spätere Frau Edith gehörte zu den wenigen, die aus Auschwitz zurückkehrten. Nach dem Zweiten Weltkrieg hatte Balas infolge seines Widerstandes wichtige Funktionen im kommunistischen Rumänien inne. Er geriet zunehmend in Widerspruch zum stalinistischen Regime, saß als politischer Häftling mehr als zwei Jahre in Einzelhaft bei der rumänischen Staatssicherheit Securitate und kam erst nach Stalins Tod wieder frei. Wir erfahren in diesem spannenden Buch von den vielen überraschenden und unerwarteten Wendungen, die das ständige Auf und Ab eines aufregenden Lebens begleiten. Das Buch ist ein Tatsachenbericht, der sich wie ein Roman liest. Dabei wird der Leser auch in skurrile, in groteske Situationen einbezogen, die – nach beklemmenden Schilderungen – befreiend wirken.
Mathematics. --- History. --- Mathematical optimization. --- Computers. --- Economics. --- Management science. --- History of Mathematical Sciences. --- History of Science. --- Optimization. --- History of Computing. --- Economics, general. --- History, general. --- Jews --- Holocaust, Jewish (1939-1945) --- Political prisoners --- Balas, Egon. --- Romania --- Hungary
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This volume constitutes the proceedings of the Fourth International Conference on Integer Programming and Combinatorial Optimization, IPCO '95, held in Copenhagen in May 1995 under the sponsorship of the Mathematical Programming Society. Integer programming and combinatorial optimization provide a fruitful theoretical and algorithmic basis for the solution of a number of optimization problems occuring in real-world situations, such as production planning and scheduling, routing, crew scheduling, or network construction. This volume presents 36 revised papers selected from a total of 105 submissions and offers a representative up-to-date snapshot on the state of the art in this interdisciplinary area of research and applications.
Integer programming --- Combinatorial optimization --- Programmation en nombres entiers --- Optimisation combinatoire --- Congresses. --- Congrès --- Congresses --- Congrès --- Information theory. --- Distribution (Probability theory. --- Mathematics. --- Computer software. --- Numerical analysis. --- Combinatorics. --- Theory of Computation. --- Probability Theory and Stochastic Processes. --- Applications of Mathematics. --- Algorithm Analysis and Problem Complexity. --- Numerical Analysis. --- Combinatorics --- Algebra --- Mathematical analysis --- Software, Computer --- Computer systems --- Math --- Science --- Distribution functions --- Frequency distribution --- Characteristic functions --- Probabilities --- Communication theory --- Communication --- Cybernetics --- Integer programming - Congresses --- Combinatorial optimization - Congresses
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