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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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发表于 2025-3-21 17:56:57 | 显示全部楼层 |阅读模式
书目名称Redundancy in Mathematical Programming
副标题A State-of-the-Art S
编辑Mark H. Karwan,Vahid Lotfi,Jan Telgen
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Redundancy in Mathematical Programming; A State-of-the-Art S Mark H. Karwan,Vahid Lotfi,Jan Telgen Conference proceedings 1983 Springer-Ver
描述During the Spring of 1979 one of us (Zionts) was invited to visit Erasmus University in Rotterdam, The Netherlands. It was there that Zionts met another 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 have numerous applications. Telgen and Zionts planned the project for the Summer of 1980, and enlisted the support of all the contributors as well as the other two members of our team (Karwan and Lotfi). Lotfi was then a Ph. D. student in Industrial Engineering searching for a thesis topic. Redundancy became his topic. Karwan and Zionts served as his thesis co-chairmen, with Telgen serving as an outside reader of the thesis. We initially had hoped to complete the study during Telgen‘s stay in Buffalo, but that was far too optimistic. Lotfi completed his dissertation during the late Spring-early Summer of 1981. As the project took shape, we decided that we had more than enough for an article, or even several articles. Accordingly, not wanting t
出版日期Conference proceedings 1983
关键词Optimierung; Redundanz; algorithms; linear optimization; optimization
版次1
doihttps://doi.org/10.1007/978-3-642-45535-3
isbn_softcover978-3-540-11552-6
isbn_ebook978-3-642-45535-3Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1983
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发表于 2025-3-21 20:21:02 | 显示全部楼层
A Method for Identifying Redundant Constraints and Extraneous Variables in Linear Programming,he method can solve five related problems, one of these problems being the redundant constraint problem. This paper develops the method fully for identifying redundant constraints and extraneous variables.
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Finding Redundant Constraints in Sets of Linear Inequalities,ining S and the nonnegativity constraints in the definition of S.. Hence, the statements, “The .th constraint of S is redundant (nonredundant)” and “The constraint x. ≥ 0 is redundant (nonredundant) in defining S.” are equivalent. We let S. be obtained from S by deleting the .th constraint.
发表于 2025-3-22 09:43:31 | 显示全部楼层
A Method for Determining Redundant Constraints,ining redundant constraints, the results of Gal (1978) can be used. They are incorporated in the algorithm presented in Section 4.3. The polytope in the illustrative example in Section 4.4 is appropriately degenerate.
发表于 2025-3-22 13:54:58 | 显示全部楼层
An Introduction to Redundancy,the desire on the part of the problem formulator not to omit essential elements of the formulation. Over the past twenty years numerous papers have been written on redundancy. In those papers methods have been presented for identifying redundancies. This volume presents an up-to-date survey of metho
发表于 2025-3-22 17:35:11 | 显示全部楼层
Mathematical Foundations and Notation,consider their interrelationships. We then attempt to categorize the methods. Finally, we present some theory common to certain of the methods. The emphasis of the chapter is on linear inequalities and linear programming, but many of the results are readily extendable to more general mathematical pr
发表于 2025-3-22 23:25:46 | 显示全部楼层
A Method for Identifying Redundant Constraints and Extraneous Variables in Linear Programming,m the method of Zionts (1965) (see also Thompson, Tonge and Zionts (1966)) which identified redundant constraints and extraneous variables either prior to or during the solution of linear programming problems. In earlier work (Zionts and Wallenius (1976)) we had to solve a problem that is closely re
发表于 2025-3-23 01:41:24 | 显示全部楼层
发表于 2025-3-23 06:23:27 | 显示全部楼层
Identifying Redundancy in Systems of Linear Constraints,ental to the method is the possibility to recognize redundancy of a constraint by determining the minimum value of the associated slack variable. This property was first mentioned by Lisy (1971) and exploited in Gal (1975b). By defining the structural variables as the slack variables of the nonnegat
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