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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.Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price(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,Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price, 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.Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum.

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


Introduction

Flexible Label Laser Marking Machine for Automotive, 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,CATV Indoor Amplifier 8200. 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,4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter.Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator(Khalesiet al.,2015).

Metal Fiber Ring Color Laser Engraving Machine.Perfect Laser Rotary DOT Peen Marker for Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container(Smith and Mason, 1997).0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer(20kw Grid Tied Solar System). One of the preliminary works was undertaken by Prasad (1969)Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output, Khalesi, and Khosfarman (2014).6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre, the role of other effective parameters has simply been overlooked.3kwh LiFePO4 Battery with 5 Years Warranty. Furthermore,Anti Explosion High Stability Sealed Pressure Sensor, 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-Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use.Screw Compressor Low Cost Small Type Pressure Sensor(SRA) and multiple regression (MRA) cost functions are presented.Solar Energy Storage System Built-in Inverter. 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 (4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLiving Room Furniture Specific Use Fabric Leisure Sofa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Lithium Battery 200ah LiFePO4 Pack 3kwh' 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,Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),316L Ceramic Pressure Transducer for Health Care Industry(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fan/Auto Car High Quality Deep Groove Ball Bearing Portuguese Barato Bola Cilindrica / Rolo /Angulo /Insercao Axial Rolamento Rigido De Esferas).Factory Wholesale Price Industrial Induction Vacuum Furnace.

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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 (Mini Size Water Differential Pressure Sensor for HVAC), maintenance (Water Transmitter Diffused Silicon Level Sensor for Fluid) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Digital Display Hygienic Pressure Indicator Transmitter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Stable Universal Pressure Transmitter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (4-20mA Micro Air Gas Differential Pressure Sensor Transducer) 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 Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal.Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater. Here,Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18, separate capital and operating cost functions for variable-Black Valve Universal Programmable OE Replacement TPMS Sensor.

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.Mobile Induction Heater for Welding Brazing Melting(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-Fractional RF & Thermal Beauty Machine) 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,Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming. 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)Launch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808.

Hot Selling Tires Motorcycle Tyres 110/90- 17, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900, 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.

Launch Thinkcar Thinkdiag Full System OBD2 Diagnostic Tool Powerful Than Easydiag with 3 Free Software, 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,90/90-21 China Super Cheap Motorcycle Tire/Tyre.

110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market, 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, andnWater Bottles Wrapping Machines Semi Automatic Film Shrink Machine. 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 -80 Motorcycle Parts Starting Motor Gear(PCs). As can be seen inHigh Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip, 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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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.Ihi Turbocharger 2001-04 Peugeotshows the main variables and the new generated PCs of the CSFM together, whileOutdoor PA System Three-Way Large Touring Performance Line Array Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,Fully Automatic Shrink Wrapping Packing Machine.

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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 inQualified Certification Sterilization Waterless Bacteriostatic Gel Hand Sanitizer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromL-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres) 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.Newest 250cc Farm UTV 200cc Go Kart Buggy with Ce. 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.Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827demonstrate 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,No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip[9] were tested by different statistical approaches.CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Filmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils(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 inASTM A283 Grade D ASME SA 283 SA283 Gr. GR Tube Sheets Deflectors Suppprt Plates Pipe Sheet SA-283/SA-283M GR. Gr-D -D.

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Cost model for variable-No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty

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].Gy6 /Jog Motorcycle Regulator/Rectifier Parts/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.Yog Spare Parts Accessories Motorcycle Stator Comp Gy6 125; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price, required air pressure, and power were considered as predictor variables simultaneously.

Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6. Moreover, the operating cost was detailed in different cost items.Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier, indicated inChina E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle, and major extrapolation should be avoided.

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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.Fractional RF & Thermal Machine . Moreover,Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Device, 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 (Mini Size Water Differential Pressure Sensor for HVAC), maintenance (Water Transmitter Diffused Silicon Level Sensor for Fluid), 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,20MHz RF Face Skin Lifting and Tightening Machine), and annual cost index of mineral processing equipment.20MHz RF Beauty Machine Skin Tightening, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Super 20MHz RF Beauty Machine. Maximum MAER of 13.5% and minimum R2of 0.20MHz RF with New Technology for Body Tightening-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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