Geodesic
Optimal chemical balance weighing designs for $v+1$ objects
Kybernetika, Tome 39 (2003) no. 3, pp. 333-340 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The paper studies the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number times in which each object is weighed. Conditions under which the existence of an optimum chemical balance weighing design for $p = v$ objects implies the existence of an optimum chemical balance weighing design for $p = v + 1$ objects are given. The existence of an optimum chemical balance weighing design for $p = v + 1$ objects implies the existence of an optimum chemical balance weighing design for each $p v + 1$. The new construction method for optimum chemical balance weighing design for $p = v + 1$ objects is given. It uses the incidence matrices of ternary balanced block designs for v treatments.
The paper studies the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number times in which each object is weighed. Conditions under which the existence of an optimum chemical balance weighing design for $p = v$ objects implies the existence of an optimum chemical balance weighing design for $p = v + 1$ objects are given. The existence of an optimum chemical balance weighing design for $p = v + 1$ objects implies the existence of an optimum chemical balance weighing design for each $p v + 1$. The new construction method for optimum chemical balance weighing design for $p = v + 1$ objects is given. It uses the incidence matrices of ternary balanced block designs for v treatments.
Classification : 62K05, 62K10, 62K15, 92E20
Keywords: chemical balance weighing design; ternary balanced block design 
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     title = {Optimal chemical balance weighing designs for $v+1$ objects},
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}
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Ceranka, Bronisław; Graczyk, Małgorzata. Optimal chemical balance weighing designs for $v+1$ objects. Kybernetika, Tome 39 (2003) no. 3, pp. 333-340. http://geodesic.mathdoc.fr/item/KYB_2003_39_3_a8/

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