Optimal weighing schemes

Bhulai, Sandjai and Breuer, Thomas and Cator, Eric and Dekkers, Fieke (2005) Optimal weighing schemes. European Study Group with Industry > 52nd ESGI [Amsterdam 31/1/2005 - 4/2/2005].

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Abstract/Summary

We study the problem of determining the masses of a set of weights, given one standard weight, based on comparing two disjoint subsets of those weights with approximately equal mass. The question is how to choose a weighing scheme, i.e., different pairs of subsets, such that the masses can be determined as accurately as possible within a given number of measurements. In this paper we discuss a new way of using the so-called STS method of comparing two approximately equal masses, and we will give optimal weighing schemes which turn out to outperform schemes that are currently used by national metrology institutes.

Item Type:	Study Group Report
Study Group:	European Study Group with Industry > 52nd ESGI [Amsterdam 31/1/2005 - 4/2/2005]
Company Name:	Dutch Metrology Institute
Industrial Sector:	None/Other
Additional Contributors:	van Andel, Inge
ID Code:	86
Deposited By:	Richard Booth
Deposited On:	05 February 2007

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