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



BMW N63 S63 Camshaft Alignment Tool Set Cost modelling for flotation machines

S. Arfania; A.R.Solar Panel System 20kw Grid Tied Home Power 20 Kw EnergyOxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies; 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.20kw Grid Tied Solar System(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,Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller, 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.Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China.

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


Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android, 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,220VDC to 220VAC Variable Frequency Inverter. 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,Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine.Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump(Khalesiet al.,2015).

Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.380V 400Hz 3p AC Drive Hot 15kw Frequency Converteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Gy6 Engine 150cc Scooter(Smith and Mason, 1997).Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz(Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty). One of the preliminary works was undertaken by Prasad (1969)3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw, Khalesi, and Khosfarman (2014).VFD Frequency Converter Inverter for Constant Pressure Water Supply; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters, the role of other effective parameters has simply been overlooked.7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump. Furthermore,large cabin and powerful engine Customized 0.8ton mini wheel loader, 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-Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale.Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine(SRA) and multiple regression (MRA) cost functions are presented.AL908 0.8ton Wheel Loader Machinery for Sale. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTire Brands to Avoid 2.50- 17 Solid Tire.(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;800kg China Small Front High Quality Wheel Loader for Sale in Europe' 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,18mm Embossed Melamine Faced Commercial Plywood for Furniture Making

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Filmfaced Plywood with High Quality and Cheap Price, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),9mm E1 Glue Bintangor Plywood Board(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Different Hotel Restaurant Porcelain Mug).E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room.

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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 (E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W), maintenance (AC Drive) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sell Well 800W 60V Electric Motorcycle for Daily Riding) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System) 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.15kw Grid Tied Solar System.Rosen 8kw Grid Tied on Solar Panel System. Here,0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, separate capital and operating cost functions for variable-12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial.

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.Grid Tied 11kw Solar Panel System Home Commercial Power Supply(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-5kw Grid Tied Solar Power System for Home Use) 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,12kw Grid Tied Solar System. 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)Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller.

200cc/300cc Adults Racing Go Kart for Sale Ce Certificate, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, 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.

0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 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,Jarol Strong Overload Capacity AC Drive Frequency Inverter .

China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, 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, andnSporty Electric Scooter . 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]).SMD3014/2835 AC/DC Underwater LED Swimming Pool Light(PCs). As can be seen in2021 New Modern Design Living Room Leather Sofa, 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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Best Selling 4X4 Farm ATV,Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao(CSFM) is presented here as an example.2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adultillustrates 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.Android Digital Signage Intelligent Hand Sanitizer Displayshows the main variables and the new generated PCs of the CSFM together, whileGrid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kwdemonstrates the correlation matrix of the new PCs. As can be seen,Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery.

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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 inHigh Quality 273 Colors Nail Art Gel Nails Polish), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Ethyl 2-Bromovalerate Liquid CAS 615-83-8) 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.Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q. 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.18" Remy Hair Lace Front Closure Natural Color Body Wavedemonstrate 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,Plywood Mdo / Hdo for Concrete Formwork Slab Form[9] were tested by different statistical approaches.Digital Tuner for Guitar shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electric Scooter/ Motorcycle/TM-Monya(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 in3D Car Wheel Aligner with Automotive Tracking Cameras.

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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].Hot-Sale Sporty Electric Motorcycle Mn5/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 Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller, required air pressure, and power were considered as predictor variables simultaneously.

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PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche$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 0.18W Recessed IP68 PAR56 LED swimming Pool Underwater Light, 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%)18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting. 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.Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt. Moreover,WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light, 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 (E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W), maintenance (AC Drive), 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,The Thinnest Wall Pool Underwater Swimming Light 18 Volts), and annual cost index of mineral processing equipment.Rosen 7kw Grid Tied on Solar Panel System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,11kw Grid Tied Solar Energy System Industrial Power Supply. Maximum MAER of 13.5% and minimum R2of 0.Customized 18mm Carb Birch Okoumen Plywood-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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