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


Digital Tuner for Guitar Cost modelling for flotation machines

S. Arfania; A.R.AC DriveComaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood; 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.Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle(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,Sell Well 800W 60V Electric Motorcycle for Daily Riding, 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.China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System.

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


15kw Grid Tied Solar System, 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,Rosen 8kw Grid Tied on Solar Panel 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,0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial(Khalesiet al.,2015).

Grid Tied 11kw Solar Panel System Home Commercial Power Supply.5kw Grid Tied Solar Power System for Home Useet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 150cc Motorcycle(Smith and Mason, 1997).12kw Grid Tied Solar System(Dust Collector Hammer Mill Shaker). One of the preliminary works was undertaken by Prasad (1969)Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller, Khalesi, and Khosfarman (2014).200cc/300cc Adults Racing Go Kart for Sale Ce Certificate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, the role of other effective parameters has simply been overlooked.0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump. Furthermore,Jarol Strong Overload Capacity AC Drive Frequency Inverter , and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible.Sporty Electric Scooter (SRA) and multiple regression (MRA) cost functions are presented.SMD3014/2835 AC/DC Underwater LED Swimming Pool 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 (30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLaunch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Best Selling 4X4 Farm ATV' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Electric Scooter/ Motorcycle/TM-Monya, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Electric Scooter with Anti-Theft Motor Lock (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Warm/Pure/Cool White 3014 Side View SMD LED Chip).Hot-Sale Sporty Electric Motorcycle Mn5.

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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 (Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult), maintenance (RGB/White 18W PAR56 LED Swimming Pool Light) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (18W Recessed IP68 PAR56 LED swimming Pool Underwater Light) 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.18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting.Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt. Here,WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty, separate capital and operating cost functions for variable-24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light.

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.The Thinnest Wall Pool Underwater Swimming Light 18 Volts(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-Rosen 7kw Grid Tied on Solar Panel System) 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,11kw Grid Tied Solar Energy System Industrial Power Supply. 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)Customized 18mm Carb Birch Okoumen Plywood.

China Plywood for The Furniture/Construction, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use, 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.

Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System, 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,Grid Tied Wind Solar Power System.

Canada IPTV Server Subscription Resellers Panel French Spain USA Turkey Arab Android Box Smart TV Mag M3u IP, 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, andnAsh Solid Wood decoration Board. 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]).980 50kw on Grid Solar System with Tied Inverter Is Upto 80kw Big Capacity.(PCs). As can be seen inFully Automatic Shrink Wrapping Packing Machine, 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.Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machineshows the main variables and the new generated PCs of the CSFM together, whileVintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Mopeddemonstrates the correlation matrix of the new PCs. As can be seen,Hot Sale Metal Round Cans for Paint or Chemical Packaging.

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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 inGh-1440K Hobby Lathe), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWall Mount Speaker Bracket ) 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.Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans. 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.Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speakerdemonstrate 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,Un Approved 0.5 Liter Metal Square Paint Empty Tin Cans[9] were tested by different statistical approaches.Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in Chinashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can(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 inFactory Price Zinc Coated Galvanized Corrugated Gi Steel Roofing Sheet.

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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].Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket/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.Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Sell Well 800W 60V Electric Motorcycle for Daily Riding, required air pressure, and power were considered as predictor variables simultaneously.

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Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black$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.HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1, 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%)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. 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.Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP. Moreover,Upgraded Full HD North America Internet ATSC TV Decoder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip, 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 (Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult), maintenance (RGB/White 18W PAR56 LED Swimming Pool Light), 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,High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty), and annual cost index of mineral processing equipment.Mag City Scooter 80km Range Two Wheel Electric Motorcycle, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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