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THe Use of the Box Step Method in Discrete Optimization


  • Roy E. Marsten


The Boxstep method is used to maximize Lagrangean functions in the context of a branch-and-bound algorithm for the general discrete optimization problem. Results are presented for three applications: facility location, multi-item production scheduling, and single machine scheduling. The performance of the Boxstep method is contrasted with that of the subgradient optimization method.

Suggested Citation

  • Roy E. Marsten, 1975. "THe Use of the Box Step Method in Discrete Optimization," NBER Working Papers 0086, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:0086

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    References listed on IDEAS

    1. Arthur M. Geoffrion, 1970. "Elements of Large-Scale Mathematical Programming Part I: Concepts," Management Science, INFORMS, vol. 16(11), pages 652-675, July.
    2. Bernard P. Dzielinski & Ralph E. Gomory, 1965. "Optimal Programming of Lot Sizes, Inventory and Labor Allocations," Management Science, INFORMS, vol. 11(9), pages 874-890, July.
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    Cited by:

    1. Marshall L. Fisher, 2004. "The Lagrangian Relaxation Method for Solving Integer Programming Problems," Management Science, INFORMS, vol. 50(12_supple), pages 1861-1871, December.

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