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Note---Operations Sequencing in Discrete Parts Manufacturing

Author

Listed:
  • Jonathan F. Bard

    (Operations Research Group, Department of Mechanical Engineering, University of Texas, Austin, Texas 78712)

  • Thomas A. Feo

    (Operations Research Group, Department of Mechanical Engineering, University of Texas, Austin, Texas 78712)

Abstract

This paper presents an algorithm for efficiently sequencing the cutting operations associated with the manufacture of discrete parts on a CNC machine. The problem is first modeled as an integer program but recast via Lagrangian relaxation as a min-cut problem on a bipartite network. Tight lower bounds are obtained with a max-flow algorithm. The corresponding solution is used as input to a greedy heuristic which generates "good" feasible points. Given nonconvergence, a branch and bound strategy is used to find the optimal solution.

Suggested Citation

  • Jonathan F. Bard & Thomas A. Feo, 1989. "Note---Operations Sequencing in Discrete Parts Manufacturing," Management Science, INFORMS, vol. 35(2), pages 249-255, February.
    • Handle: RePEc:inm:ormnsc:v:35:y:1989:i:2:p:249-255
    DOI: 10.1287/mnsc.35.2.249
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    Citations

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    Cited by:

    1. Cheung, Ki Ling & Song, Jing-Sheng & Zhang, Yue, 2017. "Cost reduction through operations reversal," European Journal of Operational Research, Elsevier, vol. 259(1), pages 100-112.
    2. de Souza, Mauricio C. & de Carvalho, Carlos R.V. & Brizon, Wellington B., 2008. "Packing items to feed assembly lines," European Journal of Operational Research, Elsevier, vol. 184(2), pages 480-489, January.
    3. Jim (Junmin) Shi & Xiaohang Yue & Yao Zhao, 2014. "Operations sequencing for a multi‐stage production inventory system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(2), pages 144-154, March.

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