Phase Transition in the Number Partitioning Problem
نویسندگان
چکیده
منابع مشابه
Phase transition and landscape statistics of the number partitioning problem.
The phase transition in the number partitioning problem (NPP), i.e., the transition from a region in the space of control parameters in which almost all instances have many solutions to a region in which almost all instances have no solution, is investigated by examining the energy landscape of this classic optimization problem. This is achieved by coding the information about the minimum energ...
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We study the dynamic phase diagram of a spin model associated with the number partitioning problem, as a function of temperature and of the fraction K/N of spins allowed to flip simultaneously. The case K=1 reproduces the activated behavior of Bouchaud's trap model, whereas the opposite limit K=N can be mapped onto the entropic trap model proposed by Barrat and Mézard. In the intermediate case ...
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Given a sequence of N positive real numbers {a1, a2, . . . , aN}, the number partitioning problem consists of partitioning them into two sets such that the absolute value of the difference of the sums of aj over the two sets is minimized. In the case that the aj ’s are statistically independent random variables uniformly distributed in the unit interval, this NP-complete problem is equivalent t...
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The known approaches of number-phase problem (for a quantum oscillator) are mutually contradictory. All of them are subsequent in respect with the Robertson-Schrödinger uncertainty relation (RSUR). In oposition here it is proposed a new approacch aimed to be aboriginal as regard RSRUR. From the new perspective the Dirac's operators for vibrational number and phase appear as correct mathematical...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1998
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.81.4281