Optimal chemical balance weighing designs for $v+1$ objects

Ceranka, Bronisław, and Graczyk, Małgorzata. "Optimal chemical balance weighing designs for $v+1$ objects." Kybernetika 39.3 (2003): [333]-340. <http://eudml.org/doc/33647>.

@article{Ceranka2003,
abstract = {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.},
author = {Ceranka, Bronisław, Graczyk, Małgorzata},
journal = {Kybernetika},
keywords = {chemical balance weighing design; ternary balanced block design; ternary balanced block designs},
language = {eng},
number = {3},
pages = {[333]-340},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal chemical balance weighing designs for $v+1$ objects},
url = {http://eudml.org/doc/33647},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Ceranka, Bronisław
AU - Graczyk, Małgorzata
TI - Optimal chemical balance weighing designs for $v+1$ objects
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 3
SP - [333]
EP - 340
AB - 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.
LA - eng
KW - chemical balance weighing design; ternary balanced block design; ternary balanced block designs
UR - http://eudml.org/doc/33647
ER -