Geodesic
Optimal chemical balance weighing designs for $v+1$ objects
Kybernetika, Tome 39 (2003) no. 3, p. [333].

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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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     author = {Ceranka, Bronis{\l}aw and Graczyk, Ma{\l}gorzata},
     title = {Optimal chemical balance weighing designs for $v+1$ objects},
     journal = {Kybernetika},
     pages = {[333]},
     publisher = {mathdoc},
     volume = {39},
     number = {3},
     year = {2003},
     mrnumber = {1995737},
     zbl = {1248.62128},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2003__39_3_a8/}
}
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Ceranka, Bronisław; Graczyk, Małgorzata. Optimal chemical balance weighing designs for $v+1$ objects. Kybernetika, Tome 39 (2003) no. 3, p. [333]. http://geodesic.mathdoc.fr/item/KYB_2003__39_3_a8/