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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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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.Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output(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,6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi , 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 0.110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre.

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


Introduction

3kwh LiFePO4 Battery with 5 Years Warranty, 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,Anti Explosion High Stability Sealed Pressure Sensor. 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,Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use.Screw Compressor Low Cost Small Type Pressure Sensor(Khalesiet al.,2015).

Solar Energy Storage System Built-in Inverter.4-20mA Diffused Silicon Micro Size Hygienic Pressure Transduceret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Two-Way Passive Line Array (Smith and Mason, 1997).Lithium Battery 200ah LiFePO4 Pack 3kwh(Diesel Engine Parts Fuel Injection Nozzle Dlla150sm105). One of the preliminary works was undertaken by Prasad (1969)Smokeless Rice Husk Continuous Carbonization Oven for Sale, Khalesi, and Khosfarman (2014).45kw Mf Induction Heating Machine Heater; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ytd-Dih25 IGBT Automatic Induction Heating Machine, the role of other effective parameters has simply been overlooked.Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System. Furthermore,Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter, 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-Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports.316L Ceramic Pressure Transducer for Health Care Industry(SRA) and multiple regression (MRA) cost functions are presented.Factory Wholesale Price Industrial Induction Vacuum Furnace. 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 (Mini Size Water Differential Pressure Sensor for HVAC, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIhi Turbocharger 2001-04 Peugeot(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Water Transmitter Diffused Silicon Level Sensor for Fluid' 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,Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Black Valve Universal Programmable OE Replacement TPMS Sensor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Biodegradable Compostable Pink Mail Package Bags).Mobile Induction Heater for Welding Brazing Melting.

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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 (Fractional RF & Thermal Beauty Machine), maintenance (Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Launch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Selling Tires Motorcycle Tyres 110/90- 17) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900) 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.Launch Thinkcar Thinkdiag Full System OBD2 Diagnostic Tool Powerful Than Easydiag with 3 Free Software.90/90-21 China Super Cheap Motorcycle Tire/Tyre. Here,110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market, separate capital and operating cost functions for variable-Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine.

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.Gy6 -80 Motorcycle Parts Starting Motor Gear(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-Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipment) 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,2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater. 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)Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine.

Fully Automatic Shrink Wrapping Packing Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (No Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warranty, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Newest 250cc Farm UTV 200cc Go Kart Buggy with Ce, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip.

Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils, 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).

whereCeis the estimated cost,Cathe actual cost, andnNo Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty. 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]).Gy6 /Jog Motorcycle Regulator/Rectifier Parts(PCs). As can be seen in8X4" Active Column PA Speaker, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6,Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier(CSFM) is presented here as an example.L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyresillustrates 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.Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoringshows the main variables and the new generated PCs of the CSFM together, whileConstant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827demonstrates the correlation matrix of the new PCs. As can be seen,High Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inFactory Price! Freeview Strong Signal DVB T2/S2 IPTV/Youtube Portable19 Inch Smart LED HD TV), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLine Array with Aluminum Rigging Parts for PA Speaker ) 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.Motorcycle Spare Part Turn Light for Gy6 -150. 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.Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Capdemonstrate 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,Fractional RF & Thermal Machine [9] were tested by different statistical approaches.Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125(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 inXjl- 300b Automatic Falling Weight Impact Tester.

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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].20MHz RF Face Skin Lifting and Tightening Machine/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.20MHz RF Beauty Machine Skin Tightening; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi , required air pressure, and power were considered as predictor variables simultaneously.

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Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light$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.ADSS Body Slimming Beauty Machine , 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%)Portable Themagic Fractional RF Machine for Skin Tightening. 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.China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire. Moreover,Peonylighting 800W High Pole Stadium LED Flood Yard Lamp, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W, 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 (Fractional RF & Thermal Beauty Machine), maintenance (Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming), 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,Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine), and annual cost index of mineral processing equipment.RF Microneedle Thermal Facial Lift Beauty Equipment, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150. Maximum MAER of 13.5% and minimum R2of 0.Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting-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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