On a RSM Approach to the Multihead Weigher Configuration

2012 ◽  
Author(s):  
Alessia Beretta ◽  
Quirico Semeraro
Keyword(s):  
Response Surface Methodology ◽  
Objective Function ◽  
Response Surface ◽  
Lower Limit ◽  
Average Weight ◽  
Target Weight ◽  
Load Cells ◽  
The Law ◽  
The Cost ◽  
Configuration Problem

The multihead weigher is a complex machine which has to be properly configured and managed by taking into account the uncertainty of the load cells. Specifically, this paper focuses on the configuration problem of the multihead weigher First an objective function is proposed. This function considers both the costs of “non conforming” packages (i.e. packages that have to be scrapped or reworked because their weight is below the law lower limit) and the cost of extra product (i.e. cost of material that exceeds the target weight). Secondly, the paper presents an approach to select the average weight to be set for each hopper by combining a RSM (Response Surface Methodology) and a multihead weighing machine simulator. The performance of the proposed approach is presented and discussed.

Employment of Quality by Design approach via Response Surface Methodology to Optimize and Develop Modified Release formulation of Hydrochlorothiazide

2020 ◽  
Vol 16 ◽  
Author(s):  
Vikas D Singhai ◽  
Rahul Maheshwari ◽  
Swapnil Sharma ◽  
Sarvesh Paliwal
Keyword(s):  
Response Surface Methodology ◽  
Response Surface ◽  
Quality By Design ◽  
Management Tool ◽  
Contour Plot ◽  
P Value ◽  
Average Weight ◽  
Content Uniformity ◽  
Modified Release ◽  
Release Formulation

Background: Heart attack predominantly occurs during the last phase of sleep and early morning hours, causing millions of death worldwide. Hydrochlorothiazide (HCTZ) is recommended drug for the prevention of heart disease but its long action (>4 h) dosage form is lacking in the commercial market and development of extended-release formulation may have industrial significance. Regulatory agencies emphasize Quality by Design based approach for product development to entrust quality in the product. Objective: Aim of the current research was to develop a quality product profile of HCTZ modified-release tablets (MRT; ~14 h) by applying Response Surface Methodology using computational QbD approach. Methods: Three independent factors were identified by qualitative and quantitative risk assessment. Statistical terms like p-value, lack of fit, sum of square, R-squared value, model F value and linear equations were determined. Graphical tools like normal plot of residual, residual vs predicted plot and box cox plot were used to verify model selection. Graphical relationship among the critical, independent variables was represented using the Contour plot and 3-D surface plot. Design space was identified by designing overlay plot using response surface design. Results: Excellent correlation was observed between actual and predicted values. Similarity Factor (F2) of reproducible trials was 78 and 79 and content uniformity was 100.9% and 100.4%. Average weight, hardness, thickness, diameter and friability were within acceptable limits. Conclusions: QbD approach along with quality risk management tool provided an efficient and effective paradigm to build quality MRT of HCTZ.

Design Technology of Centrifugal Fan Impeller Based on Response Surface Methodology

2010 ◽  
Author(s):  
Changyun Zhu ◽  
Guoliang Qin
Keyword(s):  
Response Surface Methodology ◽  
Objective Function ◽  
Response Surface ◽  
Optimization Design ◽  
Second Order ◽  
Centrifugal Fan ◽  
Least Squares Regression ◽  
Optimization Strategy ◽  
Order Polynomial ◽  
Rsm Model

An optimization strategy called response surface methodology (RSM) is applied to a centrifugal fan impeller optimization design in this paper. RSM is used to generate an approximated model of objective function, for which a second-order polynomial function is chosen. The Design of experiment (DOE) technique coupled with CFD analysis is then ran to generate the database. The least-squares regression method (LS) is used to determine the coefficient of the RSM function. Finally, the Genetic Algorithms (GA) is applied to the objective function in order to obtain the optimal configuration. This paper also presents a solution to the problem of imprecise fitting of second-order RSM model by dividing the zone into several subzones which is proved to be effective in this paper. The optimization result shows that RSM is an effective and feasible optimization strategy for the centrifugal fan impeller design, and the complexity of the objective function and the overall optimization time could be significantly reduced.

Application Research on Treatment of Micro-Polluted Raw Water in Winter Western Mountainous Cities Using Composite Coagulants of PAC-PDM

2011 ◽  
Vol 243-249 ◽  
pp. 4850-4855 ◽  
Author(s):  
Ping Xiang ◽  
Nan Zhang ◽  
Shao Jie Jiang ◽  
Zhi Zhang
Keyword(s):  
Response Surface Methodology ◽  
Objective Function ◽  
Response Surface ◽  
Optimization Model ◽  
Removal Rate ◽  
Function Optimization ◽  
Raw Water ◽  
Application Research ◽  
Agent Cost ◽  
Composite Coagulant

In this study, micro-polluted raw water in winter western mountainous cities was treated by PAC-PDM . The CCD model of response surface methodology was employed to investigate the removal rate of turbidity . Taken the model as constraint conditions and taken the minimum agent cost as the objective function, optimization model of composite coagulants is established. The results showed that when the turbidity was 1 NTU，the dosage of PAC (based on Al2O3) is about 26mg/L, and the proportion of optimization model of composite coagulant PAC-PDM is 5% and the dosage of PAC (based on Al2O3) is about 8mg/L. Therefore the dosage of PAC of the optimized composite coagulant could be decreased by about70%, and agent costs decreased by about 56% compared with those of PAC.

Simulation-based search for optimal designs of accelerated life tests through response surface methodology

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Daniel Ayasse ◽  
Kangwon Seo
Keyword(s):  
Response Surface Methodology ◽  
Optimal Design ◽  
Objective Function ◽  
Response Surface ◽  
Failure Time ◽  
Simulated Data ◽  
Accelerated Life Test ◽  
Design Parameters ◽  
Content Type ◽  
Accelerated Life

PurposePlanning an accelerated life test (ALT) for a product is an important task for reliability practitioners. Traditional methods to create an optimal design of an ALT are often computationally burdensome and numerically difficult. In this paper, the authors introduce a practical method to find an optimal design of experiments for ALTs by using simulation and empirical model building.Design/methodology/approachInstead of developing the Fisher information matrix-based objective function and analytic optimization, the authors suggest “experiments for experiments” approach to create optimal planning. The authors generate simulated data to evaluate the quantity of interest, e.g. 10th percentile of failure time and apply the response surface methodology (RSM) to find an optimal solution with respect to the design parameters, e.g. test conditions and test unit allocations. The authors illustrate their approach applied to the thermal ALT with right censoring and lognormal failure time distribution.FindingsThe design found by the proposed approach shows substantially improved statistical performance in terms of the standard error of estimates of 10th percentile of failure time. In addition, the approach provides useful insights about the sensitivity of each decision variable to the objective function.Research limitations/implicationsMore comprehensive experiments might be needed to test its scalability of the method.Practical implicationsThis method is practically useful to find a reasonably efficient optimal ALT design. It can be applied to any quantities of interest and objective functions as long as those quantities can be computed from a set of simulated datasets.Originality/valueThis is a novel approach to create an optimal ALT design by using RSM and simulated data.

scholarly journals A Grid search-based response surface methodology for the optimum biosynthesis of silver nanoparticles using Clerodendrum splendens

2019 ◽  
Author(s):  
aarcha jayakumar
Keyword(s):  
Silver Nanoparticles ◽  
Response Surface Methodology ◽  
Objective Function ◽  
Response Surface ◽  
Search Algorithm ◽  
Processing Parameters ◽  
Hot Water ◽  
Grid Search ◽  
Convex Problem ◽  
Search Approach

In this paper, we propose a grid search algorithm using response surface methodology (RSM) for optimizing the biosynthesis of silver nanoparticles (AgNPs). A biological method using hot water (HW) Clerodendrum splendens (C. splendens) leaf extract is adopted for the discussion. The RSM integrated central composite design (CCD) is used to derive a quadratic objective function to model the yield of AgNPs by accounting the effects of the processing parameters, namely, C. splendens concentration, pH, and the reaction time. The optimization of the resulting objective function, which is a challenging multi-variate non-convex problem, is solved using a grid search approach. The respective optimum values of the parameters are found to be 54 mL, pH 12, and 23 min and the corresponding AgNPs yield is experimentally verified.

scholarly journals Response surface methodology and Taguchi method based applications – A Review

2020 ◽  
Vol 5 (1) ◽  
pp. 053-059
Author(s):  
Ovat Friday Aje ◽  
Anyandi Josephat Adie
Keyword(s):  
Response Surface Methodology ◽  
Taguchi Method ◽  
Response Surface ◽  
Design Method ◽  
Taguchi Methods ◽  
Machining Process ◽  
Extensive Literature ◽  
Potential Factors ◽  
The Cost ◽  
Robust Design Method

Response surface methodology (RSM) is usually applied together with a factorial design to reduce the cost of experimentation and is especially useful when there are more potential factors than money to study a response. It was designed as a tool to have a lot of (partial) answers with as few experiments as possible; to detect factors that influence a response, and whether they interact, as well as finding an optimum treatment within a specific setup. On the other hand, the Taguchi method is a statistical method, also called robust design method, to improve the quality of manufactured goods, and more recently also applied to engineering. This paper presents an extensive literature review on the concept of the RSM and Taguchi methods in solvent extraction, engineering optimization and several machining process parameters.

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