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Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning

Johnson, David S., Aragon, Cecilia R., McGeoch, Lyle A., Schevon, Catherine·1991·Operations Research

Abstract

This is the second in a series of three papers that empirically examine the competitiveness of simulated annealing in certain well-studied domains of combinatorial optimization. Simulated annealing is a randomized technique proposed by S. Kirkpatrick, C. D. Gelatt and M. P. Vecchi for improving local optimization algorithms. Here we report on experiments at adapting simulated annealing to graph coloring and number partitioning, two problems for which local optimization had not previously been thought suitable. For graph coloring, we report on three simulated annealing schemes, all of which can dominate traditional techniques for certain types of graphs, at least when large amounts of computing time are available. For number partitioning, simulated annealing is not competitive with the differencing algorithm of N. Karmarkar and R. M. Karp, except on relatively small instances. Moreover, if running time is taken into account, natural annealing schemes cannot even outperform multiple random runs of the local optimization algorithms on which they are based, in sharp contrast to the observed performance of annealing on other problems.

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Metadata

Authors
Johnson, D. S., Aragon, C. R., McGeoch, L. A., & Schevon, C.
Venue
Operations Research
Published
1991-06
Volume
39
Issue
3
Pages
378-406
ISSN
  • 0030-364X (ISSN-L)
  • 1526-5463
OpenAlex
W2153638045
Cited by
845
References
20
FWCI
23.43
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning. https://app.cochat.ai/papers/10.1287/opre.39.3.378
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Johnson, D. S., Aragon, C. R., McGeoch, L. A., & Schevon, C. (1991). Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning. Operations Research. https://doi.org/10.1287/opre.39.3.378

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