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Criss-cross algorithm: Algorithm, Mathematical optimization, Linear programming, Linear-fractional programming -

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2026-05-14
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematical optimization, the criss-cross algorithm denotes a family of algorithms for linear programming. Variants of the criss-cross algorithm also solve more general problems with linear inequality constraints and nonlinear objective functions; there are criss-cross algorith ... Täydellinen kuvaus

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Kuvaus

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematical optimization, the criss-cross algorithm denotes a family of algorithms for linear programming. Variants of the criss-cross algorithm also solve more general problems with linear inequality constraints and nonlinear objective functions; there are criss-cross algorithms for linear-fractional programming problems, quadratic-programming problems, and linear complementarity problems. Like the simplex algorithm of George B. Dantzig, the criss-cross algorithm is not a polynomial-time algorithm for linear programming. Both algorithms visit all 2D corners of a (perturbed) cube in dimension D, the Klee-Minty cube (after Victor Klee and George J. Minty), in the worst case. However, when it is started at a random corner, the criss-cross algorithm on average visits only D additional corners. Thus, for the three-dimensional cube, the algorithm visits all 8 corners in the worst case and exactly 3 additional corners on average.

Lisätietoja

Julkaisija OmniScriptum
Julkaisuvuosi 2026
Kannen tyyppi Pehmeäkantinen
EAN 9786136777184
Kirjoita oma arvostelusi
Arvostelet: Criss-cross algorithm: Algorithm, Mathematical optimization, Linear programming, Linear-fractional programming
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168,40 € 224,53 €