Title
Minimal average cost of searching for a counterfeit coin: restricted model
Abstract
The following restricted model of coin-weighing problem is considered: there is a heavier coin in a set of n coins, n - 1 of which are good coins having the same weight. The test device is a two-arms balance scale and each test-set is of the form A : B with |A| = |B| ≤ l, where l ≥ 1 is a given integer. We present an optimal sequential algorithm requiring the minimal average cost of weighings when the probability distribution on the coin set is uniform distribution.
Year
DOI
Venue
2006
10.1016/j.dam.2006.03.017
Discrete Applied Mathematics
Keywords
Field
DocType
huffman tree,minimal average cost,uniform distribution,following restricted model,coin set,counterfeit coin,average cost,good coin,sequential algorithm,coin-weighing problem,optimal sequential algorithm,n coin,heavier coin,probability distribution
Integer,Discrete mathematics,Combinatorics,Of the form,Uniform distribution (continuous),Average cost,Probability distribution,Huffman coding,Sequential algorithm,Group testing,Mathematics
Journal
Volume
Issue
ISSN
154
14
Discrete Applied Mathematics
Citations 
PageRank 
References 
2
0.39
13
Authors
2
Name
Order
Citations
PageRank
Wen An Liu16512.61
Hong Yong Ma220.39