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Management Science
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Management Science
Article . 1989 . Peer-reviewed
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Note—Operations Sequencing in Discrete Parts Manufacturing

Operations sequencing in discrete parts manufacturing
Authors: Jonathan F. Bard; Thomas A. Feo;

Note—Operations Sequencing in Discrete Parts Manufacturing

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.

Keywords

bipartite network, Lagrangian relaxation, flexible manufacturing systems, integer programming, Lagrangian relaxation, branch and bound, computer-aided process planning, Deterministic scheduling theory in operations research, cutting operations, Integer programming, sequencing, max-flow algorithm, greedy heuristic, Numerical mathematical programming methods, branch and bound, Deterministic network models in operations research, Production models, computer-aided process planning

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
34
Top 10%
Top 1%
Average
bronze