Considers integer solutions for systems of linear inequalities, equations, and congruences along with the construction and theoretical analysis of integer programming algorithms. This book analyzes the complexity of algorithms dependent upon two parameters: the dimension, and the maximal modulus of the coefficients. Series: Translations of Mathematical Monographs Reprint. Num Pages: 160 pages. BIC Classification: PBT; PBUH; PBW. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 230. Weight in Grams: 506. . 1996. Hardcover. . . . .

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Bibliographic Details

Title: Qualitative Topics in Integer Linear Programming (Translations of Mathematical Monographs)
Publisher: American Mathematical Society
Publication Date: 1996
Language: English
ISBN 10: 0821805355
ISBN 13: 9780821805350
Binding: Hardcover
Condition: New

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Synopsis

Integer solutions for systems of linear inequalities, equations, and congruences are considered along with the construction and theoretical analysis of integer programming algorithms. The complexity of algorithms is analyzed dependent upon two parameters: the dimension, and the maximal modulus of the coefficients describing the conditions of the problem. The analysis is based on a thorough treatment of the qualitative and quantitative aspects of integer programming, in particular on bounds obtained by the author for the number of extreme points. This permits progress in many cases in which the traditional approach--which regards complexity as a function only of the length of the input--leads to a negative result.

Language Notes

Text: English (translation)
Original Language: Russian

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