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Author Espinoza, D.; Goycoolea, M.; Moreno, E.
Title The precedence constrained knapsack problem: Separating maximally violated inequalities Type
Year 2015 Publication Discrete Applied Mathematics Abbreviated Journal Discret Appl. Math.
Volume 194 Issue Pages 65-80
Keywords Lifting; Shrinking; Precedence-constrained knapsack problem; Induced cover inequality; Induced clique inequality; Separation problem
Abstract We consider the problem of separating maximally violated inequalities for the precedence constrained knapsack problem. Though we consider maximally violated constraints in a very general way, special emphasis is placed on induced cover inequalities and induced clique inequalities. Our contributions include a new partial characterization of maximally violated inequalities, a new safe shrinking technique, and new insights on strengthening and lifting. This work follows on the work of Boyd (1993), Park and Park (1997), van de Leensel et al. (1999) and Boland et al. (2011). Computational experiments show that our new techniques and insights can be used to significantly improve the performance of cutting plane algorithms for this problem. (C) 2015 Elsevier B.V. All rights reserved.
Address [Espinoza, Daniel] Univ Chile, Dept Ind Engn, Santiago, Chile, Email: daespino@dii.uchile.cl;
Corporate Author Thesis
Publisher Elsevier Science Bv Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0166-218x ISBN Medium
Area Expedition (up) Conference
Notes WOS:000361772500005 Approved
Call Number UAI @ eduardo.moreno @ Serial 525
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