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


PS10 Professional Sound System 10inch Audio Speaker BoxCost modelling for flotation machines

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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.90/90-21 China Super Cheap Motorcycle Tire/Tyre(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,110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market, 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.Water Bottles Wrapping Machines Semi Automatic Film Shrink Machine.

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


Gy6 -80 Motorcycle Parts Starting Motor Gear, 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,Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing Equipment. 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,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(Khalesiet al.,2015).

Fully Automatic Shrink Wrapping Packing Machine.No Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warrantyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Single 10'' Two Way Line Array PRO Audio(Smith and Mason, 1997).Newest 250cc Farm UTV 200cc Go Kart Buggy with Ce(New Go Kart ). One of the preliminary works was undertaken by Prasad (1969)No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip, Khalesi, and Khosfarman (2014).Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty, the role of other effective parameters has simply been overlooked.Gy6 /Jog Motorcycle Regulator/Rectifier Parts. Furthermore,Yog Spare Parts Accessories Motorcycle Stator Comp Gy6 125, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6.Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier(SRA) and multiple regression (MRA) cost functions are presented.High Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrument, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFlat film Clamp Hygienic Pressure Sensor Transmitter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motorcycle Spare Part Turn Light for Gy6 -150' 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,20MHz RF Beauty Machine Skin Tightening

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Super 20MHz RF Beauty Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),20MHz RF with New Technology for Body Tightening(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Rubber Accelerator Pre-Dispersed Masterbatch Tmtd-80).Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light.

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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 (ADSS Body Slimming Beauty Machine ), maintenance (Portable Themagic Fractional RF Machine for Skin Tightening) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Peonylighting 800W High Pole Stadium LED Flood Yard Lamp) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W) 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.Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine.RF Microneedle Thermal Facial Lift Beauty Equipment. Here,Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150, separate capital and operating cost functions for variable-Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting.

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.High Feedback Tied Malaysian Virgin Hair(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-Portable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor) 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,Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh. 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)150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart.

200cc Racing Go Kart for Sale Cheap, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China 300cc Adult Road Legal 2 Seat Pedal Go Kart, 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.

3kwh Solar Energy Storage System, 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,2021 New Design 3kwh off Grid Solar Power System LiFePO4 Battery for Home Use with Built-in Inverter.

Peanut Shell and Rice Husk Continuous Carbonization Oven, 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 Direct Wholesale 300- 17 Motorcycle Tire/Tyre. 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]).ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes(PCs). As can be seen inHyundai Excavator Hydraulic Cylinder Bucket Seal Kit for R210, 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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Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe,High Quality Radio Frequency Aesthetic Equipment(CSFM) is presented here as an example.Inverter AC Driveillustrates 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.Apr125 Red Motorcycleshows the main variables and the new generated PCs of the CSFM together, whileGood-Tightness Square Tin Can Metal Engine Oil with Sscrew Liddemonstrates the correlation matrix of the new PCs. As can be seen,China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre.

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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 inPopular Girl Princess Dresses), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromElectrical Pipe Tube Cold Working Processing Machine) 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.Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue. 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.2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheapdemonstrate 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,Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooter[9] were tested by different statistical approaches.Direct Injection Water Cooled Diesel Engine Used for Generator Setshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line(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 inZd160TF-3 Dozer Machine 160HP Crawler Bulldozer Price.

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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].Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17/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.Good Packed Bottle PE Film Shrink Wrapping Machine China; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,110/90-18 Bigbiz Brand Motorcycle Tyre/Tire for Europe Market, required air pressure, and power were considered as predictor variables simultaneously.

ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17. Moreover, the operating cost was detailed in different cost items.25kw High Frequency Induction Heater for Bolts&Rivet, indicated in860MHz Two Way Amplifier , and major extrapolation should be avoided.

Fractional RF Vacuum Slimming Machine for Lose Weight$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.Online Flying Laser Marking Machine for Operation Line, 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%)Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line. 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.Portable 20Hz RF Face Lift Machine. Moreover,ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (DOT Certified off Road Chinese Motorcycle Tire 3.00- 17, 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 (ADSS Body Slimming Beauty Machine ), maintenance (Portable Themagic Fractional RF Machine for Skin Tightening), 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,Linear Type Thermal Film Packing Machine / Equipment), and annual cost index of mineral processing equipment.Good Solutions 3kw Solar Home Energy off Grid System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter. Maximum MAER of 13.5% and minimum R2of 0.25kw High Frequency Induction Heat Soldering Machine-feasibility and even feasibility study level of projects.


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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Top Quality Benzocaine / HCl CAS 23239-88-5]

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Mular, A.L. 1982.Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight.Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting.Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light, Montreal. 265 pp.         [Power Frequency Converter AC Drive Inverter]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.High Quality 1L 32oz Amber Glass Bottle in Stock.Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1L.Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light, Montreal. 319 pp.         [Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm]

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China 300cc Adult Road Legal 2 Seat Pedal Go Kart, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Factory Outlet Dog Tag Laser Marking Machine for Metal 50W.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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