The paper is studying the estimation problem of individual weights of objects using the chemical balance weighing design under the restriction on the number of times in which each object is weighed. Additionally, we assume that the errors are uncorrelated and they have different variances.
Ceranka, Bronisław +1 more
openaire +3 more sources
Some Construction Methods of A-Optimum Chemical Balance Weighing Designs
Some new construction methods of the optimum chemical balance weighing designs and pairwise efficiency and variance balanced designs are proposed, which are based on the incidence matrices of the known symmetric balanced incomplete block designs. Also the conditions under which the constructed chemical balance weighing designs become A-optimal are also
Rashmi Awad, Shakti Banerjee
exaly +3 more sources
Some Construction Methods of Optimum Chemical Balance Weighing Designs III
Methods of constructing the optimum chemical balance weighing designs from symmetric balanced incomplete block designs are proposed with illustration. As a by-product pairwise efficiency and variance balanced designs are also obtained.
Rashmi Awad, Shakti Banerjee
exaly +3 more sources
Relations between optimum chemical balance weighing designs for v and v+1 objects [PDF]
Summary: The incidence matrices of BIB designs for \(v\) treatments have been used to construct optimum chemical balance weighing designs for \(p=v\) or \(p=v+1\) objects. Conditions under which the existence of an optimum chemical balance weighing design for \(v\) objects implies the existence of an optimum chemical balance weighing design for \(v+1\)
Ceranka, B., Katulska, K.
openaire +2 more sources
On some optimum chemical balance weighing designs for \(v+1\) objects
Summary: This paper deals with a certain new construction method for optimum chemical balance weighing designs for \(v+1\) objects by utilizing the incidence matrices of BIB designs for v treatments.
Ceranka, B., Katulska, K.
openaire +2 more sources
Some remarks about optimum chemical balance weighing design for p = v + 1 objects
The problem of the estimation of unknown weights of \(p = v + 1\) objects in the model of the chemical balance weighing design under the assumption that the measurement errors are uncorrelated and they have different variances is considered. The existence conditions determining the optimum design are presented.
Ceranka, Bronisław +1 more
openaire +4 more sources
Multi-objective optimization in the context of generative chemistry. [PDF]
Torren-Peraire P +4 more
europepmc +1 more source
Bio-Inspired 3D-Printed Polymeric Sheets for Orthoses: Predictive Modeling of Mechanical Integrity and Moisture Absorption. [PDF]
Devesa-Rey R +4 more
europepmc +1 more source
Multi-Objective Optimization of Mechanical Properties for FDM-Printed PLA/TPU Blends via Box-Behnken Design and Entropy Weight Method. [PDF]
Li P +5 more
europepmc +1 more source
Non-Destructive Sensing and Intelligent Quality Prediction During Fruit Drying: From Quality Formation to Decision Support. [PDF]
Zhang K +7 more
europepmc +1 more source

