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Disjunctive programming

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Disjunctive programming/ by Egon Balas.
作者:	Balas, Egon.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	x, 238 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Integer programming. -
電子資源:	https://doi.org/10.1007/978-3-030-00148-3
ISBN:	9783030001483

Disjunctive programming
Balas, Egon.

Disjunctive programming[electronic resource] /by Egon Balas. - Cham :Springer International Publishing :2018. - x, 238 p. :ill., digital ;24 cm.

1 Disjunctive programming and its relation to integer programming -- 2 The convex hull of a disjunctive set -- 3 Sequential convexification of disjunctive sets -- 4 Moving between conjunctive and disjunctive normal forms -- 5 Disjunctive programming and extended formulations -- 6 Lift-and-project cuts for mixed 0-1 programs -- 7 Nonlinear higher-dimensional representations -- 8 The correspondence between lift-and-project cuts and simple disjunctive cuts -- 9 Solving (CGLP)k on the LP simplex tableau -- 10 Implementation and testing of variants -- 11 Cuts from general disjunctions -- 12 Disjunctive cuts from the V -polyhedral representation -- 13 Unions of polytopes in different spaces -- References.

Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.

ISBN: 9783030001483

Standard No.: 10.1007/978-3-030-00148-3doiSubjects--Topical Terms:

527790
Integer programming.

LC Class. No.: T57.74 / .B353 2018

Dewey Class. No.: 519.77

Disjunctive programming
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505 0 $a 1 Disjunctive programming and its relation to integer programming -- 2 The convex hull of a disjunctive set -- 3 Sequential convexification of disjunctive sets -- 4 Moving between conjunctive and disjunctive normal forms -- 5 Disjunctive programming and extended formulations -- 6 Lift-and-project cuts for mixed 0-1 programs -- 7 Nonlinear higher-dimensional representations -- 8 The correspondence between lift-and-project cuts and simple disjunctive cuts -- 9 Solving (CGLP)k on the LP simplex tableau -- 10 Implementation and testing of variants -- 11 Cuts from general disjunctions -- 12 Disjunctive cuts from the V -polyhedral representation -- 13 Unions of polytopes in different spaces -- References.
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