Identifying redundancy in multi-dimensional knapsack constraints based on surrogate constraints

Jiwoong Choi, In Chan Choi

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Redundancy identification techniques play an important role in improving the solvability of a linear program. In this paper, we address the redundancy in multi-dimensional knapsack constraints by proposing a new redundancy identification method. The proposed method is based on the constraint intercepts of Paulraj, Chellappan, and Natesan [A heuristic approach for identification of redundant constraints in linear programming models, Int. J. Comput. Math. 83 (2006), pp. 675–683] and surrogate constraints. In it, feasibility problems are constructed in order to determine the redundancy of the constraints, and are solved by a heuristic algorithm, which is developed to check the redundancy fast. The results of computational experiments show that the proposed method may be used in a preprocessing stage in order to reduce the number of knapsack constraints.

Original languageEnglish
Pages (from-to)2470-2482
Number of pages13
JournalInternational Journal of Computer Mathematics
Volume91
Issue number12
DOIs
Publication statusPublished - 2014 Jan 1

ASJC Scopus subject areas

  • Applied Mathematics
  • Computer Science Applications
  • Computational Theory and Mathematics

Fingerprint Dive into the research topics of 'Identifying redundancy in multi-dimensional knapsack constraints based on surrogate constraints'. Together they form a unique fingerprint.

  • Cite this