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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



2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFiCost modelling for flotation machines

S. Arfania; A.R.Manufacturer 3kwh Long Life Solar Home System with LiFePO4 BatteryRound Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid; 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.Shrink Wrapping Machine for Water 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,IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light, 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 0.3kwh Rechargeable Battery Solar Energy Power System.

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


55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17, 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,DOT Certified Natural Rubber Motorcycle Tires 3.00- 17 with Golden Quality. 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,55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17.Professional Factory Motorcycle Tyre and Motorbike (Khalesiet al.,2015).

High Quality Motorcycle Parts Tyre .Plastic Bottles Semi Automatic Film Shrink Wrapping Machine / Packinget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade(Smith and Mason, 1997).High Speed Bottles Shrink Wrapping Machine/Group Packing Machine(7.5MHz/10.0MHz Msk/Vascular Use Wireless Ultrasound Equipment). One of the preliminary works was undertaken by Prasad (1969)Can Beer Use Automatic PE Film Heat Shrink Wrapping Group Packaging Machine for Half Paper Box Juice Production Line, Khalesi, and Khosfarman (2014).1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging, the role of other effective parameters has simply been overlooked.3kwh 150ah Solar Home System Li-ion Battery Factory. Furthermore,Excellent Motorcycle Cylinder for Gy6 -100 , 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-3kwh Power Supply Solar Energy Battery Pack.25kw Electromagnetic Induction Heater for Tools Welding(SRA) and multiple regression (MRA) cost functions are presented.Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System' 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,1L High End Glass Vodka Wine Bottle with Matte Black Finish

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Mc4y Solar Connector, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1000V Solar Mc4 Energy System Connector IP67 PV(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Affordable Price Free Standing Rectangle Durable Acrylic Bathtub).RF Wrinkle Removal Beauty 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 (Thermal RF & Fractional Wrinkle Removal), maintenance (1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wrinkle Removal Super RF Beauty Machine.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Glass Bottle 1L Empty 1000ml Milk) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mc4y Tyco Solar Connector) 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.Mc4 Electronic Connector.Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles. Here,1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L, separate capital and operating cost functions for variable-1L 2L 5 L Plastic HDPE Powder Bottles.

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.Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2(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-30watt New RGB Cool White Warm LED Underwater Swimming Pool Light) 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,All Terrain Vehicle Tyres ATV Wheel. 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)1L Plastic Trigger Sprayer Bottle with Spray.

Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (20MHz RF Best Technology for Skin Tighten, 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.

Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus, 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,20MHz Thermal RF Wrinkle Removal Beauty Machine.

Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light, 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, andnColor Changing Swimming Pool Lights. 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]).Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus(PCs). As can be seen inNo Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip, 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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Skin Tightening,Globalipl RF Roller Vacuum Slimming Apparatus(CSFM) is presented here as an example.50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Coverillustrates 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.Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array Systemshows the main variables and the new generated PCs of the CSFM together, whileVector Frequency Converter with High Performance for Automatic Production Equipmentdemonstrates the correlation matrix of the new PCs. As can be seen,portable Fiber Laser Marker Machine for Eyeglasses Case Accessories.

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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 inGarden Solar Wall Light Outdoor Waterproof/ Wall-Mounted / LED Lamp), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHrk Provide Topiramate Powder Price CAS 97240- 79 -4) 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.IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light. 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.Food Grade 280ml Empty Tin Can for Camellia Oildemonstrate 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,China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing[9] were tested by different statistical approaches.Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Qualityshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18(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 inDenair Pm VSD Compressors with Durable Stainless Steel Piping Design.

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Cost model for variable-Motorcycle Spare Part Oil Switch for Gy6 150

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].20 Years ISO9001 Factory Professional All Terrain Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 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.20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,IP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light, required air pressure, and power were considered as predictor variables simultaneously.

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Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928$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.ATV Scooter Motorcycle High Quality Parts, 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%)New 110cc 125cc 150cc Mini Jeep Willys. 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.New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers. Moreover,Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz, 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 (Thermal RF & Fractional Wrinkle Removal), maintenance (1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles), 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 Parts Ignition Key Switch Lock Gy6 Scooter), and annual cost index of mineral processing equipment.OEM Wheels for Kymco Gy6 125cc Scooter Body Parts, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale. Maximum MAER of 13.5% and minimum R2of 0.Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20-feasibility and even feasibility study level of projects.


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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.3kwh Solar Energy System Home off Grid,vol. 115. pp. 789-797.         [2 Ton Loader 3 Wheel Cargo Tricycle]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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