대한산업공학회지 (Journal of Korean Institute of Industrial Engineers)

  • 제37권3호
  • /
  • Pages.258-263
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  • 2011
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  • 1225-0988(pISSN)
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  • 2234-6457(eISSN)
대한산업공학회 (Korean Institute of Industrial Engineers)
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일반화된 일반상한제약을 갖는 이차원 선형계획 배낭문제 연구

On a Two Dimensional Linear Programming Knapsack Problem with the Generalized GUB Constraint

  • 원중연 (경기대학교 산업경영공학과)
  • Won, Joong-Yeon (Industrial and Management Engineering, Kyonggi University)
  • 투고 : 2011.05.28
  • 심사 : 2011.08.13
  • 발행 : 2011.09.01
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초록

We study on a generalization of the two dimensional linear programming knapsack problem with the extended GUB constraint, which was presented in paper Won(2001). We identify some new parametric properties of the generalized problem and derive a solution algorithm based on the identified parametric properties. The solution algorithm has a worst case time complexity of order O($n^2logn$), where n is the total number of variables. We illustrate a numerical example.

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참고문헌

  1. Bagchi, A., Bhattacharyya, N., and Chakravarti, N. (1996), LP Relaxation of the Two Dimensional Knapsack Problem with Box and GUB Constraints, European J. Opnl. Res., 89, 609-617. https://doi.org/10.1016/0377-2217(94)00285-1
  2. Kronsjo, L. I. (1979), Algorithms : Their Complexity and Efficiency, Wiley, N. Y.
  3. Won, J. Y. (2001), On a Two Dimensional Linear Programming Knapsack Problem with the Extended GUB Constraint, Journal of the Korean Institute of Industrial Engineers, 27(1), 25-29.

피인용 문헌

  1. The Generalized Multiple-Choice Multi-Divisional Linear Programming Knapsack Problem vol.40, pp.4, 2014, https://doi.org/10.7232/JKIIE.2014.40.4.396