Solving the Multidimensional Multiple-choice Knapsack Problem by constructing convex hulls

نویسندگان

  • Md. Mostofa Akbar
  • Mohammad Sohel Rahman
  • Mohammad Kaykobad
  • Eric G. Manning
  • Gholamali C. Shoja
چکیده

This paper presents a heuristic to solve the Multidimensional Multiple-choice Knapsack Problem (MMKP), a variant of the classical 0–1 Knapsack Problem. We apply a transformation technique to map the multidimensional resource consumption to single dimension. Convex hulls are constructed to reduce the search space to find the near-optimal solution of the MMKP. We present the computational complexity of solving the MMKP using this approach. A comparative analysis of different heuristics for solving the MMKP has been presented based on the experimental results. 2004 Elsevier Ltd. All rights reserved.

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عنوان ژورنال:
  • Computers & OR

دوره 33  شماره 

صفحات  -

تاریخ انتشار 2006