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


Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for CosmeticCost modelling for flotation machines

S. Arfania; A.R.Electric Smart Cargo Car Tricycle 800W 40km/H Long Running RangePA Speaker Accessories and Parts ; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Mini electric truck/ express vehicle/ Express vehicles(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,Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes, 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.BAW Made of Electric Car with Lithium Battery.

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


EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter, 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,M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car. 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,50cc Monkey Bike Gasoline Motorcycle Euro4 Efi.4x2 electric pickup truck/ Electric vehicle/ car(Khalesiet al.,2015).

Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle .2021 New Products Motor Power 800W Electric Trolley Tractoret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for(Smith and Mason, 1997).Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines(Cheap 3 Wheel Cargo Tricycle with Box ). One of the preliminary works was undertaken by Prasad (1969)1L Tin Can with Metal Cap for Food Storage, Khalesi, and Khosfarman (2014).Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid, the role of other effective parameters has simply been overlooked.Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs. Furthermore,1L Aluminum Tin Can for Food Packaging , and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-1L Cone Top Tin Can with Screw Cap.Gy6 -125 Motorcycle Spark Plug Cap Parts(SRA) and multiple regression (MRA) cost functions are presented.Mining Cement Stainless Steel 316L Protective Pressure Sensor. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Scooter Parts, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAudio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Metal Fiber Ring Color Laser Engraving Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Travel Luggage Belt with Lock).Perfect Laser Rotary DOT Peen Marker for Sale.

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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 (0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer), maintenance (Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (3kwh LiFePO4 Battery with 5 Years Warranty) 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.Anti Explosion High Stability Sealed Pressure Sensor.Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use. Here,Screw Compressor Low Cost Small Type Pressure Sensor, separate capital and operating cost functions for variable-Solar Energy Storage System Built-in Inverter.

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.4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer(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-Lithium Battery 200ah LiFePO4 Pack 3kwh) 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,Smokeless Rice Husk Continuous Carbonization Oven for Sale. 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)45kw Mf Induction Heating Machine Heater.

Ytd-Dih25 IGBT Automatic Induction Heating Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System, 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.

Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter, 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,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, 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, andnFactory Wholesale Price Industrial Induction Vacuum Furnace. 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]).Mini Size Water Differential Pressure Sensor for HVAC(PCs). As can be seen inAL908 Wood Gripper Wheel Loader with Euro III Engine for Sale, 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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Digital Display Hygienic Pressure Indicator Transmitter,High Stable Universal Pressure Transmitter(CSFM) is presented here as an example.5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternatorillustrates 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.Zl08 Chargeuse Wheel Loadershows the main variables and the new generated PCs of the CSFM together, whileWaterproof Childproof Ziplock Valve Bagdemonstrates the correlation matrix of the new PCs. As can be seen,4-20mA Micro Air Gas Differential Pressure Sensor Transducer.

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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 inShowa Hydraulic Over-Load Protector 60ton C Frame Power Press), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from250W- 800W Handicapped Mobility Scooter for Old People with Basket) 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.Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater. 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.IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probedemonstrate 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 Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18[9] were tested by different statistical approaches.5 Liter Paint Tin Can with Customized Printing Plastic Handleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Black Valve Universal Programmable OE Replacement TPMS Sensor(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 inMini Final Drive Ltm06h to Fit Excavator PC50.

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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].Fractional RF & Thermal Beauty 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.


Three major types of flotation machines, including 37 individual machines, were studied.Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes, required air pressure, and power were considered as predictor variables simultaneously.

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Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900$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.Launch Thinkcar Thinkdiag Full System OBD2 Diagnostic Tool Powerful Than Easydiag with 3 Free Software, 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%)90/90-21 China Super Cheap Motorcycle Tire/Tyre. In the MRA cases, this property is owed to the SFM (3.05%).


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.110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market. Moreover,Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Gy6 -80 Motorcycle Parts Starting Motor Gear, 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 (0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer), maintenance (Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output), 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,Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipment), and annual cost index of mineral processing equipment.2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine. Maximum MAER of 13.5% and minimum R2of 0.Fully Automatic Shrink Wrapping Packing Machine-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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