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



RGB/White 18W PAR56 LED Swimming Pool LightCost modelling for flotation machines

S. Arfania; A.R.4x2 electric pickup truck/ Electric vehicle/ car1kw Solar Power System Grid Tied 1000W on Panel Price; 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.Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle (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,2021 New Products Motor Power 800W Electric Trolley Tractor, 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.Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines.

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


1L Tin Can with Metal Cap for Food Storage, 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,Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60. 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,1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid.Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs(Khalesiet al.,2015).

1L Aluminum Tin Can for Food Packaging .1L Cone Top Tin Can with Screw Capet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Screw Top Metal Tin Can(Smith and Mason, 1997).Gy6 -125 Motorcycle Spark Plug Cap Parts(Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution). One of the preliminary works was undertaken by Prasad (1969)Mining Cement Stainless Steel 316L Protective Pressure Sensor, Khalesi, and Khosfarman (2014).Scooter Parts; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price, the role of other effective parameters has simply been overlooked.Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price. Furthermore,Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum, 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-Flexible Label Laser Marking Machine for Automotive.CATV Indoor Amplifier 8200(SRA) and multiple regression (MRA) cost functions are presented.4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inReal Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Metal Fiber Ring Color Laser Engraving Machine' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Anti Explosion High Stability Sealed Pressure Sensor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Zh-780b Automatic Box Gluing Machine for Making Cardboard).Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use.

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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 (Screw Compressor Low Cost Small Type Pressure Sensor), maintenance (Solar Energy Storage System Built-in Inverter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lithium Battery 200ah LiFePO4 Pack 3kwh) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Smokeless Rice Husk Continuous Carbonization Oven for 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.45kw Mf Induction Heating Machine Heater.Ytd-Dih25 IGBT Automatic Induction Heating Machine. Here,Solar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System, separate capital and operating cost functions for variable-Water Treatment Anticorrosive Ceramic Capacitor Micro Pressure Transmitter.

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.Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports(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-316L Ceramic Pressure Transducer for Health Care Industry) 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,Factory Wholesale Price Industrial Induction Vacuum Furnace. 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)Mini Size Water Differential Pressure Sensor for HVAC.

Water Transmitter Diffused Silicon Level Sensor for Fluid, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Digital Display Hygienic Pressure Indicator Transmitter, 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.

High Stable Universal 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,4-20mA Micro Air Gas Differential Pressure Sensor Transducer.

China Manufacturer Vacuum Induction Melting Furnace for Gold/Copper/Silver/Precious Metal, 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, andnPortable High Frequency Metal Induction Brazing Welding Soldering Melting Heater. 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]).Motorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18(PCs). As can be seen inPortable Induction Heater for Crystal Growth, 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.20kw Grid Tied Solar Systemshows the main variables and the new generated PCs of the CSFM together, whileLiving Room Furniture Specific Use Fabric Leisure Sofademonstrates the correlation matrix of the new PCs. As can be seen,Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming.

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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 inCheese Cracker OEM Accept Cream Biscuit), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from800w /1100w EEC Electric Scooter ) 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.Hot Selling Tires Motorcycle Tyres 110/90- 17. 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.Ihi Turbocharger 2001-04 Peugeotdemonstrate 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,Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900[9] were tested by different statistical approaches.Outdoor PA System Three-Way Large Touring Performance Line Array Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Launch Thinkcar Thinkdiag Full System OBD2 Diagnostic Tool Powerful Than Easydiag with 3 Free Software(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 in600*1200mm Hot Sale Sand Stone Design Rustic Tile for Wall or Floor PS2621604p.

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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].110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market/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.Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 New Products Motor Power 800W Electric Trolley Tractor, required air pressure, and power were considered as predictor variables simultaneously.

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2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater$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.Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging 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%)Fully Automatic Shrink Wrapping Packing Machine. 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.No Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warranty. Moreover,Newest 250cc Farm UTV 200cc Go Kart Buggy with Ce, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip, 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 (Screw Compressor Low Cost Small Type Pressure Sensor), maintenance (Solar Energy Storage System Built-in Inverter), 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,Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils), and annual cost index of mineral processing equipment.No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6.Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier,vol. 46, no.6. pp. 559-562.         [Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827]

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Kim, G.H., An, S.H., and Kang, K.I. 2004.20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrument, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Line Array with Aluminum Rigging Parts for PA Speaker ]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Color Custom Diesel Engine with Four-Stroke for Gensets]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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