Solving the multidimensional multiple-choice knapsack problem by constructing convex hulls

Solving the multidimensional multiple-choice knapsack problem by constructing convex hulls

0.00 Avg rating0 Votes
Article ID: iaor20072081
Country: United Kingdom
Volume: 33
Issue: 5
Start Page Number: 1259
End Page Number: 1273
Publication Date: May 2006
Journal: Computers and Operations Research
Authors: , , , ,
Keywords: heuristics
Abstract:

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.

Reviews

Required fields are marked *. Your email address will not be published.