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A heuristic procedure for one dimensional bin packing problem with additional constraints

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  • Kumar Satyendra
  • Venkata Rao, V.
  • Tirupati Devanath

Abstract

We proposed a heuristic algorithm to solve the one-dimensional bin-packing problem with additional constraints. The proposed algorithm has been applied to solve a practical vehicle-allocation problem. The experimental results show that our proposed heuristic provides optimal or near-optimal results, and performs better than the first fit decreasing algorithm modified to incorporate additional constraints.

Suggested Citation

  • Kumar Satyendra & Venkata Rao, V. & Tirupati Devanath, 2003. "A heuristic procedure for one dimensional bin packing problem with additional constraints," IIMA Working Papers WP2003-11-02, Indian Institute of Management Ahmedabad, Research and Publication Department.
  • Handle: RePEc:iim:iimawp:wp01786
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    References listed on IDEAS

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    1. Wansoo T. Rhee, 1993. "Optimal Bin Packing of Items of Sizes Uniformly Distributed over [0, 1]," Mathematics of Operations Research, INFORMS, vol. 18(3), pages 694-704, August.
    2. S. Anily & A. Federgruen, 1991. "Structured Partitioning Problems," Operations Research, INFORMS, vol. 39(1), pages 130-149, February.
    3. Labbe, Martine & Laporte, Gilbert & Martello, Silvano, 2003. "Upper bounds and algorithms for the maximum cardinality bin packing problem," European Journal of Operational Research, Elsevier, vol. 149(3), pages 490-498, September.
    4. Silvano Martello & Daniele Vigo, 1998. "Exact Solution of the Two-Dimensional Finite Bin Packing Problem," Management Science, INFORMS, vol. 44(3), pages 388-399, March.
    5. Lodi, Andrea & Martello, Silvano & Vigo, Daniele, 2002. "Heuristic algorithms for the three-dimensional bin packing problem," European Journal of Operational Research, Elsevier, vol. 141(2), pages 410-420, September.
    6. Samuel Eilon & Nicos Christofides, 1971. "The Loading Problem," Management Science, INFORMS, vol. 17(5), pages 259-268, January.
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