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Titlebook: Redundancy in Mathematical Programming; A State-of-the-Art S Mark H. Karwan,Vahid Lotfi,Jan Telgen Conference proceedings 1983 Springer-Ver

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Finding Redundant Constraints in Sets of Linear Inequalities,tural constraints, Ax ≤ b, we can also consider the polyhedral set S. = {x|Hx = b, x ≥ 0}, where H = (A, I). S. is an embedding of S in R.. Each variable in the definition of S. can be viewed as a slack variable for one of the constraints defining S, since the “structural variables” (x.,...,x.) can
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,Preduce — A Probabilistic Algorithm Identifying Redundancy by a Random Feasible Point Generator (RFoperties of a given feasible region, by performing a random walk through the region. PREDUCE is mainly designed for redundancy identification. PREDUCE also provides information (at little additional cost) concerning the boundedness, convexity and dimensionality of the feasible region as well as some
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Conference proceedings 1983er of us (Telgen) who was then in the process of completing a dissertation on redundancy in linear programming. At that time, Telgen proposed an extended visit to Buffalo, during which time he and Zionts would do an extensive study on redundancy. Redundancy, hardly an exciting or new topic, does hav
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An Introduction to Redundancy,ds for identifying and removing redundancy and presents the results of extensive empirical tests on these methods. Based on the results of these tests, recommendations for improvements to the methods are made and some of the improvements are tested.
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Some Reduction of Linear Programs Using Bounds on Problem Variables,Consider the linear programming problem (LPP) . and its dual . with A∈R., b∈R., c∈R. and y∈R., x∈R.. Assume that both (8.1) and (8.2) have optimal solutions.
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