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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



Peptide Cosmetics CAS 155149- 79 -4 CapixylCost modelling for flotation machines

S. Arfania; A.R.Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB0.8 Ton Mini Wheel Loader with Lowest 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.800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery(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,Rosen 5kw on Grid Solar System with Tied Inverter, 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.Solar Energy System 5kw Panel Home Grid Tied Power.

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


200kw Grid Tied Solar System for Factory Use, 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,Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System. 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,1kw Solar Power System Grid Tied 1000W on Panel Price.Commercial Solar System 100kw Grid Tied /on 100kVA 60kw(Khalesiet al.,2015).

Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration.Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBTet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for EEC EPA Extreme Adult RC Snowmobile(Smith and Mason, 1997).Hot selling compact 800kgs wheel loader for garden(Color Custom in-Line Diesel Engine for Generator Sets). One of the preliminary works was undertaken by Prasad (1969)High Efficiency 6kw Grid Tied Solar Power System for Home, Khalesi, and Khosfarman (2014).China Safe Automatic CVT 150cc Go Kart Motor with Reverse; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, the role of other effective parameters has simply been overlooked.Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter. Furthermore,Carb P2 Plywood/EPA Plywood /Okoume, 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-Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China.Variable Speed Drive Phree Phase Frequency Converter 1000Hz(SRA) and multiple regression (MRA) cost functions are presented.Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inModern Style Leather Sofa Top Grain F226(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Carb P2 Okoume Plywood for Furniture' 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,Full Size 150cc Go Kart

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Solar Home Energy Panel Kits Lighting System Battery Light Power Station).Wolf Wl80 Mini Dumper Euro 5 Loader 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 (0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader), maintenance (High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,WLAN WiFi Yagi Antenna.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (150cc Go Kart with EEC ) 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.High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty.Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile. Here,High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme, separate capital and operating cost functions for variable-800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle .

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.2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty(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-High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip) 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,Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top. 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)Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box.

15kw Grid Tied Solar Power System for Home Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Grid Tied 100kw 200kw 300kw Solar 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.

Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels, 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,Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale.

Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W, 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, andnAdv. 1 Alloy Wheel . 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]).150cc 4-Stroke(PCs). As can be seen inHigh Quality 98% Tretinoin , 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.Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1Lshows the main variables and the new generated PCs of the CSFM together, while5GHz 18dBi Dual Polarized Panel Antenna demonstrates the correlation matrix of the new PCs. As can be seen,New Design 800W 1000W Electric Scooter Motorcycle for Riding.

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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 inModern with Colorful Air Jet Bubble Bath Bathtub for Pet), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCustom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use) 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.Mimo Antenna 5150MHz~5850MHz WiFi Panel. 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.New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Powerdemonstrate 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,5GHz 20dBi Panel WiFi Antenna[9] were tested by different statistical approaches.Customized Modern Design Metal Oil Tin Can 1L Empty Storage Containershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China(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 in10-16.5 12-16.5 Skid Steer Loader Tire&Wheel Assembly.

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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].5GHz 12dBi Dual Polarity MIMO Omni Antenna/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.Electric Motorcycle Fashion Design 800W with Removable Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Rosen 5kw on Grid Solar System with Tied Inverter, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans$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.Buy Food Grade Metal Material Empty Cans for 0.5-2.5L, 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%)Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps. 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.1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas. Moreover,10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim, 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 (0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader), maintenance (High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector), 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,Alloy Wheels ), and annual cost index of mineral processing equipment.Silver Truck Wheel Rims Steel 17.5 Inch, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer. Maximum MAER of 13.5% and minimum R2of 0.High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC-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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