GENERAL PAPERS

231c Dual 31-Banddigital Graphic Equalizer/LimiterCost modelling for flotation machines

S. Arfania; A.R.11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter PowerL-Arginine Nutritional Supplements  Arginine  Flavoring Agents; M.R. Khalesi

Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Yn725 Yineng Mini Wheel Front Loader(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Km3 Collective 4GB 64GB TV Box Google Certified ATV. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale.Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord(Khalesiet al.,2015).

High Quality Ebony Engineered Wood Veneer for Hot Sale.China Manufacturer Decorative Engineered Wood Veneeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9(Smith and Mason, 1997).Reliable Producer Everun Supply Er08 CE Approved 2021 Hot Sale Compact Mini Wheel Loader with Bucket(Android 6.0 Smart TV Box Rk3229 Quad-Core 2GB/8GB Internet Set Top). One of the preliminary works was undertaken by Prasad (1969)Gabon Okoume Veneer a B C D Grade From Factory to India, Khalesi, and Khosfarman (2014).Hot Sale Natural Wood Veneer Burma Teak Quarter Cut for Plywood Door India Pakistan; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Sale Birch Wood Veneer Core for Plywood, the role of other effective parameters has simply been overlooked.Pendoo X10 Max International Best Custom Set Top Box 4GB 32GB TV Converter Ott 4K Smart Android. Furthermore,China Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Zl08 800kg Mini Tractors with Front End Dumper Loader.China Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Sale(SRA) and multiple regression (MRA) cost functions are presented.AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kw. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustom Printed Food Grade Ziplock Plastic Pouch Packaging Bag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Construction Machine Mini Loader Zl08 with Factory Price Front End' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),General Type Input 3 pH 380V Frequency Converter Variable AC Drive(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Small Electric Jzc350 Concrete Mixer Equipment for Sale).0.8ton Agricultural Tractor Mini/Small Front Wheel Loader.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Teak Wood Veneer Woven Design for Plywood Door), maintenance (AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Zl08 Wheel Loader Wl80 Wolf Mini.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Zl08 0.8ton Articulated Hydraulic Farm Wheel Loader Tractor) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Popular hot selling 0.8ton mini wheel loader/ front end loader with bucket on sale) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.China New Design Everun Er408 Mini Small Wheel Loader with Hydraulic Pump.3 Phase AC Drive for Water Pump and Fan. Here,910 Alicosolar 10kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate, separate capital and operating cost functions for variable-E0 Glue1250*2500mm Wenge Engineer Veneer for Decoration.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Wood Woven and Strand Bamboo Veneer Sheets(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Rotary Cut Bintagor Veneer for Panels and Furniture with Good Price) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,High Quanlity 1 Phase 3 AC Drive VFD for Pump. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Factory-Okoume Veneer 0.25mm-0.60mm in a and B Grade.

Engineered Ebony Veneer Ecowood Reconstituted Macassar Quarter Cut, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Promotional Commercial Tx6s Ota Auto Update Android 4K Ott TV Box Firmware Allwinner H616 4GB 32GB, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,3phase VFD.

0.75kw 1HP AC Frequency Inverter, analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andnRound Gloss Tin Can Metal for Edible Olive Oil Canning. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Universal Vector Inverter(PCs). As can be seen in2021 Popular Outdoor LCD display Alone Instagram Photo Booth, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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High-Performance Variable Frequency Inverter 3-Phase 380V,Wl80 Mini Loader From Wolf(CSFM) is presented here as an example.Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-Pillustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Quality Assurance O-Phthalaldehydeshows the main variables and the new generated PCs of the CSFM together, whileModern Leisure Sofa Chair Living Room Furniture Lift Reclineable Electric Massagedemonstrates the correlation matrix of the new PCs. As can be seen,Wolf Mini Wheel Loader Wl950 Farm.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated in50kw 100kw 200kw 500kw 1000kw Programmable AC electronic charging), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCustom Waterproof and Oil Sealing Round Metal Tin Can) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Tin Cans with Metal Cover for Paint or Chemical Packaging. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.10 Inch KTV System Wooferdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing[9] were tested by different statistical approaches.Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleanershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5L Chemical Oil Tinplate Can with Metal Press Cover(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inZhida Textiles 3D Jacquard Velvet Home Upholstery Sofa Fabric.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].0.28mm Red Oak Artificial Veneer/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Olive Oil Metal Container Edible Tin Can with Plastic Lid; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, required air pressure, and power were considered as predictor variables simultaneously.

5L Engine Motor Oil Can Screw Top Rectangular Metal Tin. Moreover, the operating cost was detailed in different cost items.Pipo X8 Win 10 + Android 4.4 Dual Boot Intel Z3736f Mini PC TV Box Wholesale Smart Set Top, indicated inJarol Solar Inverter 5.5kw 3 Phase, and major extrapolation should be avoided.

Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.New Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TV, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Food Grade 280ml Empty Tin Can for Camellia Oil. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.800W Fashion Power Motorcycle Cheap Electric. Moreover,Rectangular Glue Tin Can Empty Clear Paint, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Metal Tinplate Container Engine Oil Can with Screw Cap, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Teak Wood Veneer Woven Design for Plywood Door), maintenance (AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kw), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Square Tin Paint Packaging Can Lubricant Oil Containers), and annual cost index of mineral processing equipment.800W Electric Scooter/Motorcycle with LED Light, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Citycoco Electric Motorcycle E6 Cheap OEM E Bike. Maximum MAER of 13.5% and minimum R²of 0.800W Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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