GENERAL PAPERS

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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.0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer(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,Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output, 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 0.6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi .

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

Introduction

110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre, 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,3kwh LiFePO4 Battery with 5 Years Warranty. 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,Anti Explosion High Stability Sealed Pressure Sensor.Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Factory Wholesale Price Industrial Induction Vacuum Furnace, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Sale Popular Use Insecticide Deltamethrin 2.5 Sc for Crop Health(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mini Size Water Differential Pressure Sensor for HVAC' 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,China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal

►Standard 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, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Airline Food Grade Aluminium Foil Container/ Carryout with Cardboard Lid).Black Valve Universal Programmable OE Replacement TPMS Sensor.

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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 (Mobile Induction Heater for Welding Brazing Melting), maintenance (Fractional RF & Thermal Beauty Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Launch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Selling Tires Motorcycle Tyres 110/90- 17) 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.Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900.Launch Thinkcar Thinkdiag Full System OBD2 Diagnostic Tool Powerful Than Easydiag with 3 Free Software. Here,90/90-21 China Super Cheap Motorcycle Tire/Tyre, separate capital and operating cost functions for variable-110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market.

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.Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine(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-Gy6 -80 Motorcycle Parts Starting Motor Gear) 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,Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipment. 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)2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater.

Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Fully Automatic Shrink Wrapping Packing Machine, 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.

No Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warranty, 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,Newest 250cc Farm UTV 200cc Go Kart Buggy with Ce.

No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip, 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, andnMotorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils. 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]).No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty(PCs). As can be seen inLaser Aluminum Resealable Value Pack Stand up Zip Lock Bag Hologram Self Seal Zipper Plastic Sealing Digital Food Packaging Mylar Paper Glossy, 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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Yog Spare Parts Accessories Motorcycle Stator Comp Gy6 125,Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6(CSFM) is presented here as an example.Geomembrane Making Machineillustrates 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.PPR Pipe/HDPE Pipe/PVC Pipe /UPVC Machine Manufacturer Factoryshows the main variables and the new generated PCs of the CSFM together, whileWholesale China High Quality OTR Tyre 17.5-25 G2 Pattern.demonstrates the correlation matrix of the new PCs. As can be seen,Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier.

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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 inConcentrator Oxygen 10 Liter O2 Gas Compressor), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal) 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 0.20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrument. 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.Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phasedemonstrate 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,Motorcycle Spare Part Turn Light for Gy6 -150[9] were tested by different statistical approaches.1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fractional RF & Thermal Machine (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 in65dled 4K Inch 3D Android LCD LED Televisions Smart Television Curved TV.

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Cost model for variable-Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125

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].Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Device/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 Face Skin Lifting and Tightening Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output, required air pressure, and power were considered as predictor variables simultaneously.

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20MHz RF with New Technology for Body Tightening$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.Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light, 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%)ADSS Body Slimming Beauty Machine . 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.Portable Themagic Fractional RF Machine for Skin Tightening. Moreover,China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Peonylighting 800W High Pole Stadium LED Flood Yard Lamp, 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 (Mobile Induction Heater for Welding Brazing Melting), maintenance (Fractional RF & Thermal Beauty Machine), 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,High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W), and annual cost index of mineral processing equipment.Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,RF Microneedle Thermal Facial Lift Beauty Equipment. Maximum MAER of 13.5% and minimum R²of 0.Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

China Jwell PVC Dual/Four Pipe High Speed Extrusion Equipment C-PVC/U-PVC/PVC-O Making MachineD&B Style Dual 10 " Compact Line Array Corresponding author