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Titlebook: Linear Programming; Michel Sakarovitch,John B. Thomas Textbook 1983 Springer Science+Business Media New York 1983 Lineare Optimierung.algo

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Geometric Interpretation of the Simplex Method,Recall that we denote by ℝ. the Euclidian n-dimensional space, i.e. the set of n-column vectors with real components. A “convex set” C in ℝ. is a set such that if two points p and q belong to C, then the whole segment [pq] belongs to C.
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https://doi.org/10.1007/978-1-4757-4106-3Lineare Optimierung; algorithms; linear optimization; programming; transport
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Dual Linear Programs,of the same problem rather than as two different problems. And we will see in subsequent chapters that when one solves a linear program, its dual is solved at the same time. Thus the concept of duality is very central to linear programming and this is why it is introduced so early in the book.
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Introduction to Linear Programming,success of linear programming (i.e., the study of linear programs) led authors who became interested in various optimization problems to link the term “programming” with that of a more or less fitted adjective, thus calling these problems convex programming, dynamic programming, integer programming,
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Computational Aspects of the Simplex Method: Revised Simplex Algorithm; Bounded Variables, attention to the effectiveness of the algorithm nor to the fact that one has to face special problems (and in particular, numerical ones) when the algorithm is implemented on a computer. In this chapter, we give a brief account of the efficiency of the simplex algorithm (both from a theoretical and
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