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Encyclopedia of Operations Research and Management Science pp 450Cite as

Lexicographic ordering

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An ordering of a set of vectors based on the lexicopositive (negative) properties of the vectors. For example, the sequence of vectors {xv1,..., xvq} is ordered in a lexicographic sense if xvi − xvj is lexico-positive for i > j. Such orderings are similar to dictionary ordering of words and are used to prove finiteness of the simplex algorithm. Cycling; Lexico-positive vector.

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Authors and Affiliations

  1. Robert H. Smith School of Business, University of Maryland, College Part, Maryland, USA

    Saul I. Gass

  2. School of Information Technology & Engineering, George Mason University, Fairfax, Virginia, USA

    Carl M. Harris

Authors
  1. Saul I. Gass
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  2. Carl M. Harris
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Editors and Affiliations

  1. Robert H. Smith School of Business, University of Maryland, College Part, Maryland, USA

    Saul I. Gass

  2. School of Information Technology & Engineering, George Mason University, Fairfax, Virginia, USA

    Carl M. Harris

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© 2001 Kluwer Academic Publishers

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Gass, S.I., Harris, C.M. (2001). Lexicographic ordering . In: Gass, S.I., Harris, C.M. (eds) Encyclopedia of Operations Research and Management Science. Springer, New York, NY. https://doi.org/10.1007/1-4020-0611-X_531

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  • DOI: https://doi.org/10.1007/1-4020-0611-X_531

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-7923-7827-3

  • Online ISBN: 978-1-4020-0611-1

  • eBook Packages: Springer Book Archive

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