Application of GRASP to the Multiconstraint Knapsack Problem⋆

  • Pierre Chardaire
  • Geoff P. McKeown
  • Jameel A. Maki
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2037)


A number of approaches based on GRASP are presented for the Multiconstraint Knapsack Problem. GRASP combines greedy construction of feasible solutions with local search. Results from applying our algorithms to standard test problems are presented and compared with results obtained by Chu and Beasley.


Local Search Problem Instance Free Variable Knapsack Problem Greedy Heuristic 
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  1. 1.
    Feo, T.A., Resende, M.G.C.: Greedy randomized adaptive search procedures. J. of Global Optimization 6 (1995) 109–133MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Weingarter, H.M.: Mathematical programming and the analysis of capital budgeting problems. Markham Publishing (1967) ChicagoGoogle Scholar
  3. 3.
    Shih, W.: A Branch and Bound Method for the Multiconstraint Zero-One Knapsack Problem. J. of the Operational Res. Soc. 30 (1979) 369–378CrossRefzbMATHGoogle Scholar
  4. 4.
    Cotta, C., Troya, J.M.: A hybrid genetic algorithm for the 0-1 multiple knapsack problem. In: Artificial neural nets and genetic algorithms 3, eds. Smith, G.D., Steele, N.C., Albrecht, R.F., Springer-Verlag (1998) 251–255Google Scholar
  5. 5.
    Chu, P.C., Beasley, J.E.: A genetic algorithm for the multidimensional knapsack problem. J. of Heuristics 4 (1998) 63–86CrossRefzbMATHGoogle Scholar
  6. 6.
    Pirkul, H.: A Heuristic Search Procedure for the Multiconstraint Zero-One Knapsack Problem. Naval Research Logistics 34 (1987) 161–172CrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • Pierre Chardaire
  • Geoff P. McKeown
  • Jameel A. Maki
    • 1
  1. 1.UEA NorwichUK

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