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



Dual 12" Subwoofer Speaker BoxCost modelling for flotation machines

S. Arfania; A.R.Engineered Ebony Veneer Ecowood Reconstituted Macassar Quarter CutHigh Fidelity Professional Line Array Speaker ; 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.899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate(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,Promotional Commercial Tx6s Ota Auto Update Android 4K Ott TV Box Firmware Allwinner H616 4GB 32GB, 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 0.3phase VFD.

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


0.75kw 1HP AC Frequency Inverter, 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,Round Gloss Tin Can Metal for Edible Olive Oil Canning. 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,Universal Vector Inverter.Frequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive(Khalesiet al.,2015).

High-Performance Variable Frequency Inverter 3-Phase 380V.Wl80 Mini Loader From Wolfet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader(Smith and Mason, 1997).Wolf Mini Wheel Loader Wl950 Farm(15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail). One of the preliminary works was undertaken by Prasad (1969)Zl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loader, Khalesi, and Khosfarman (2014).Tin Cans with Metal Cover for Paint or Chemical Packaging; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing, the role of other effective parameters has simply been overlooked.5L Chemical Oil Tinplate Can with Metal Press Cover. Furthermore,15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail, 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-0.28mm Red Oak Artificial Veneer.Olive Oil Metal Container Edible Tin Can with Plastic Lid(SRA) and multiple regression (MRA) cost functions are presented.5L Engine Motor Oil Can Screw Top Rectangular Metal Tin. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Pipo X8 Win 10 + Android 4.4 Dual Boot Intel Z3736f Mini PC TV Box Wholesale Smart Set Top, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPlastic Sheet Machine PC Polycarbonate Solid(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box' 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,Metal Tinplate Container Engine Oil Can with Screw Cap

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Square Tin Paint Packaging Can Lubricant Oil Containers, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),800W Electric Scooter/Motorcycle with LED Light(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale High Quality Definition Indoor Rental LED Billboard P4 Module Display Screen).Citycoco Electric Motorcycle E6 Cheap OEM E Bike.

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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 (800W Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle), maintenance (Euro5) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Retro Scooters.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (HK1 S905W 2g 16g 7.1 Android TV Box of New Product Set Top with Low Price Kd Player 17.0) 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.Popular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle.72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycle. Here,800W Power and 60kms Range Per Charge Cheap Electric Motorcycle/Escooter, separate capital and operating cost functions for variable-Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz.

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.Multi Birch Veneer Plywood Manufacturer(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-Empty Round Tin Can Paint Package Container) 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,Factory-Engineer White Oak Veneer in 0.25mm. 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)Rectangular Brake Oil Container Motor Engine Tin Can.

Customized Multi Birch Veneer Plywood Manufacturer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Edible Oil Can Manufacturer Square Food Grade Metal Tin, 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.

China Titanhi Zl08 800kg Compact Agricultural 0.8t Micro Pay Loader 4WD, 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,Compact structure mini loader/wheel loader/ with 0.8ton bucket for building construction.

CE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucket, 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, andn1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10. 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]).800W Sine Wave Water-Proof Controller Electric Scooter/Electric Motorcycle(PCs). As can be seen inChinese Famous Brand Canmax Wheel Loader Cm908 Using Hydraulic Pump Machinery Can Be Used in Farms, 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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Rosen 35kw Grid Tied on Solar System to Global Market,800W High Speed Electric Scooter/Bike(CSFM) is presented here as an example.Euro5illustrates 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.Police Using of Motorcycle for Cruiser with Displacement 320ccshows the main variables and the new generated PCs of the CSFM together, whilePolyethylene Green Color Masterbatchdemonstrates the correlation matrix of the new PCs. As can be seen,800W 60V20ah Brushless Electric Motorcycles.

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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 inWood Veneer Slicing Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK) 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 0.500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bike. 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.Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitatordemonstrate 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,Square Engine Oil Can Metal Paint Tin Container with Plastic Lid[9] were tested by different statistical approaches.Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale(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 inPA Running Mini Electric Hoist/ Portable Wire Rope Hoist /Mini with Trolley.

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Cost model for variable-Cheap Small Electric Scooter Moped 800W Motorcycle

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].Frequency Converter for Small Power Motors 3pH 380V 50/60Hz/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.Manufacturer of Rectangular Brake Oil Motor Engine Tin Can; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Promotional Commercial Tx6s Ota Auto Update Android 4K Ott TV Box Firmware Allwinner H616 4GB 32GB, required air pressure, and power were considered as predictor variables simultaneously.

2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System. Moreover, the operating cost was detailed in different cost items.Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil, indicated inL18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer, and major extrapolation should be avoided.

866 5kw on Grid Solar System with Power Inverter for Home$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.Food Grade Metal Tin Can with Printing Logo for Cooking Oil, 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%)Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid. 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.800W Electric Scooter . Moreover,Good-Sealing Square Tin Can Engine Oil with Metal Lid, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood, 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 (800W Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle), maintenance (Euro5), 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,Special Design Braided Veneer with Red Walnut), and annual cost index of mineral processing equipment.Natural Wood Bintangor Face Veneer for Door and Furniture, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Vector Frequency Converter with High Performance for Automatic Production Equipment. Maximum MAER of 13.5% and minimum R2of 0.Natural Horizontal Bamboo Veneer for Panel Board-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

Glycine Methyl Ester Hydrochloride Nitrogen 21% Granular Fertilizer Ammonium SulphateCorresponding author

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