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两类“称球问题”的统一非序列解 被引量:2

A Nonsequential Solution for Two Different Versions of the Weighing Problem
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摘要 讨论称球问题的两个版本,通过综合文中华[湘潭大学自然科学学报,2004,26(1):42-48]和Born[InformationProcessing Letters,2003,86:137-141]的研究结果,给出一种可同时用于解决两个问题的通用算法.算法生成的方案是非序列的,且对于这两个版本而言都是最优的. By synthesizing results from Wen [Natural Science joumal of Xiangtan University ,2004,26( 1 ) :42 - 48] and Born et. al. [ Information Processing Letters, 2003,86 : 137 - 141 ], this paper presents an algorithm that generates nonsequential schemes capable of solving two different versions ( the original one and the "search - only" one) of the weighing problem simultaneously. Schemes generated by the algorithm are shown to be optimal for both versions.
作者 肖新攀
机构地区 双新研究所
出处 《湘潭大学自然科学学报》 CAS CSCD 北大核心 2006年第2期28-32,共5页 Natural Science Journal of Xiangtan University
关键词 称球问题 伪币问题 非序列方案 Dyson集 The Weighing Problem The Counterfeit Coin Problem nonsequentinl schemes Dyson sets
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  • 1SraBaase.Computer Algorithms introduction to Design and Analysis[M].北京:高等教育出版社,2001..

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同被引文献14

  • 1肖新攀.多伪币问题的非适应解[J].南京大学学报(自然科学版),2006,42(5):506-511. 被引量:1
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  • 7BORN A,,HURKENS C A J,WOEGINGER G J.How to detect a counterfeit coin:Adaptive versus non-adaptive solutions. Information Processing Letters . 2003
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  • 10Bonis A De.A predetermined algorithm for detecting a counterfeit coin with a multi-arms balance. Discrete Applied Mathematics . 1998

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