L-class enumeration algorithms for a discrete production planning problem with interval resource quantities

  • Authors:
  • M. V. Devyaterikova;A. A. Kolokolov;A. P. Kolosov

  • Affiliations:
  • Omsk State Technical University, 11, Mir av., Omsk 644050, Russian Federation;Omsk Branch of Sobolev Institute of Mathematics of Russian Academy of Sciences, 13, Pevtsov St., Omsk 644099, Russian Federation;Omsk Branch of Sobolev Institute of Mathematics of Russian Academy of Sciences, 13, Pevtsov St., Omsk 644099, Russian Federation

  • Venue:
  • Computers and Operations Research
  • Year:
  • 2009

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Abstract

A discrete production planning problem which may be formulated as the multidimensional knapsack problem is considered, while resource quantities of the problem are supposed to be given as intervals. An approach for solving this problem based on using its relaxation set is suggested. Some L-class enumeration algorithms for the problem are described. Results of computational experiments are presented.