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Mathematical Foundations and Notation

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Book cover Redundancy in Mathematical Programming

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 206))

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Abstract

In this chapter we present the definitions, notation, and terminology that will be used in the volume. We define numerous concepts of redundancy, and 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 programming problems.

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© 1983 Springer-Verlag Berlin Heidelberg

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Karwan, M.H., Lotfi, V., Zionts, S., Telgen, J. (1983). Mathematical Foundations and Notation. In: Redundancy in Mathematical Programming. Lecture Notes in Economics and Mathematical Systems, vol 206. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45535-3_2

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  • DOI: https://doi.org/10.1007/978-3-642-45535-3_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11552-6

  • Online ISBN: 978-3-642-45535-3

  • eBook Packages: Springer Book Archive

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