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



Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power SupplyCost 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.Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing(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,Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale, 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.Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty.

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


20watt Mopa Laser Marking Machine for Anodized Aluminum Black, 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,Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips. 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,No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty.2021 New E Bike Best Mini Electric for Adults(Khalesiet al.,2015).

Power Saver Device .1liter Empty Paint Tin Can with Lids Factoryet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder(Smith and Mason, 1997).No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports(Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags). One of the preliminary works was undertaken by Prasad (1969)60V800W Electric Scooter with Highlight Rear Box, Khalesi, and Khosfarman (2014).Empty Canister White Metal Round Packaging Cans Box Tea Tins; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle, the role of other effective parameters has simply been overlooked.No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip. Furthermore,Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet, 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-Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped.Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery(SRA) and multiple regression (MRA) cost functions are presented.20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Electricity Power Saver for Industry , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGy6 -125 Motorcycle Spark Plug Cap Parts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike' 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,Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mountain Using Motorcycle with Strong Steel Tube Frame(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Gradient Perfume Glass Bottle Luxury Refill Bottles with Pump Cap).10W 20W 30W portable Fiber Laser Marking Machine.

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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 (CATV 860MHz One Way Amplifier), maintenance (CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Efficiency SIM Card Fiber Laser Marking Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 New Machine Grade CO2 Laser Marking with a Discount) 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.20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel.Mopa Fiber Laser Marking Machine for Black Printing. Here,20W Table Fiber Laser Marking Machine for Metal Stainless Steel, separate capital and operating cost functions for variable-Portable Handheld Metal Plastic DOT Peen Marking Machine.

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.5150-5850MHz Sector Panel Antenna with Gain 13dBi(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-Dirt Bike for Sport Using with Large Power Engine) 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,Electricity Saver Device . 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)3 Phase 50 - 60Hz Intelligent Power Saver.

High Efficient Industrial Electric Motor Power Saver, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (EEC 125/300cc Euro 5V Max Scooter-Alex One, 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.

Electricity Power Reducer , 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,Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25.

Electrical Saver Box , 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, andnSector Panel Antenna . 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]).15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire(PCs). As can be seen inAC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kw, 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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Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg,Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25(CSFM) is presented here as an example.GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shippingillustrates 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.Toughness High Engineering Plastics 610 for Auto Partsshows the main variables and the new generated PCs of the CSFM together, whileWholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMGdemonstrates the correlation matrix of the new PCs. As can be seen,Three Wheel Motor Tricycle Rickshaw Rear Axle.

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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 inJoyee Clear Glass Bathtub Indoor Bathroom Whirlpool with 2 Person Hot Tub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWaterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL) 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.Motorcar for Both Civilc and Police Using with 320cc Displacement. 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 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycledemonstrate 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,Police Using of Motorcycle for Cruiser with Displacement 320cc[9] were tested by different statistical approaches.Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nutsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device(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 inSea Freight Shipping Agent Service From China to Ivory Coast.

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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].5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain/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.45cm Offset Satellite TV Antenna with 200 Hour UV Test; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale, required air pressure, and power were considered as predictor variables simultaneously.

5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi. Moreover, the operating cost was detailed in different cost items.45cm Offset Satellite Dish TV Antennas, indicated inSoftel 3ru CATV 24 Way Fixed-Channel Analog Modulator, and major extrapolation should be avoided.

150ah Lithium Iron Phosphate $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 0.2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things, 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%)E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers. 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.C Band Satellite TV Antenna 150cm. Moreover,Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1, 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 (CATV 860MHz One Way Amplifier), maintenance (CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz), 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,Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter), and annual cost index of mineral processing equipment.Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,4000W/5000W off Grid Tied Solar Power System. Maximum MAER of 13.5% and minimum R2of 0.Internet TV Box Linux IPTV Zgemma I55-feasibility and even feasibility study level of projects.


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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Gy6 -125/ 150ccformaular]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [High Quality Coffee /Candy/Weed Plastic Container]

Khalesi, M. R., Zarei, M. J.,High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-24V 40ah Lithium Iron Battery for Electric Bike.Minerals Engineering,vol. 81. pp. 103-108.         [10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Square Engine Oil Tin Can with Screw Cap Manufacturer Lid]

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Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [Gasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nz]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home,vol. 115. pp. 789-797.         [Diesel Engine Parts Fuel Injection Nozzle 156sm420]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Gy6 Engine 150cc Scooter]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Chinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms, Montreal. vol.13. 166 pp.         [Wholesale 100ml Pocket 99.99% Antibacterial Mini Waterless Aloe Hand Sanitizer Gel with 75% Alcohol]

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EEC 125/300cc Euro 5V Max Scooter-Alex One, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [OEM Brand Cotton Breathable Sanitary Product Sanitry Napkins Pad]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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