We extend a previous statistical mechanical treatment of the traveling salesman problem by defining a discrete 'site-disordered' problem in which fluctuations about saddle points can be computed. The results clarify the basis of our original treatment, and illuminate but do not resolve the difficulties of taking the zero-temperature limit to obtain minimal path lengths.
机构:Johannes Gutenberg University of Mainz,Center for Computational Research Methods in Natural Sciences, Department of Physics, Mathematics, and Computer Science
Johannes J. Schneider
Thomas Bukur
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机构:Johannes Gutenberg University of Mainz,Center for Computational Research Methods in Natural Sciences, Department of Physics, Mathematics, and Computer Science
Thomas Bukur
Antje Krause
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机构:Johannes Gutenberg University of Mainz,Center for Computational Research Methods in Natural Sciences, Department of Physics, Mathematics, and Computer Science
Antje Krause
Journal of Statistical Physics,
2010,
141
: 767
-
784
机构:
Technion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, IsraelTechnion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, Israel