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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive(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,French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can, 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 0.250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap.

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


Introduction

SGS Food Grade Certification 500ml Tin Containers Olive Oil Can, 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,Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans. 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,1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids.2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel(Khalesiet al.,2015).

China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin.Chinese Eougem Zl08 Wheel Loader with Torque Converteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for TUV Ce Europe Popular 6000W Grid Tied Home Solar System(Smith and Mason, 1997).Articulated Mini Wheel Loader Er08 Telescopic Boom(Jarol Frequency Inverter with High Quality ). One of the preliminary works was undertaken by Prasad (1969)Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver, Khalesi, and Khosfarman (2014).Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Design Go Kart 150cc , the role of other effective parameters has simply been overlooked.External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router. Furthermore,48V/60V 800W Electric Scooter with Lead-Acid Battery, 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-800W 60V Lead-Acid Battery Electric Bicycle with Back Rest.Electric Motorcycle 800W for Adult Motor(SRA) and multiple regression (MRA) cost functions are presented.Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPeq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Rosen 5kw on Grid Solar System with Tied Inverter' 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,Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Professional Ocean Freight Forwarder From Shenzhen China to Dubai).Hot selling compact 800kgs wheel loader for garden.

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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 (High Efficiency 6kw Grid Tied Solar Power System for Home), maintenance (China Safe Automatic CVT 150cc Go Kart Motor with Reverse) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Carb P2 Plywood/EPA Plywood /Okoume) 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.Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China.Variable Speed Drive Phree Phase Frequency Converter 1000Hz. Here,Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory, separate capital and operating cost functions for variable-3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive.

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.Carb P2 Okoume Plywood for Furniture(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-15mm AAA Grade Film Faced Plywood with WBP Glue) 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,China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality. 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)Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging.

150CC Go Kart , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Full Size 150cc Go Kart , 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.

Go Kart , 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,Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid.

Wolf Wl80 Mini Dumper Euro 5 Loader for Sale, 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, andn0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader. 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]).High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector(PCs). As can be seen inProfessional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker, 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.Insecticide Deltamethrin powder 5% WP 2.5% ECshows the main variables and the new generated PCs of the CSFM together, whilePeptide Cosmetics CAS 155149- 79 -4 Capixyldemonstrates the correlation matrix of the new PCs. As can be seen,High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty.

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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 in3CH RC Helicopter Styling With Gyro 9rz-9013)), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromModern Style Leather Sofa Top Grain F226) 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.High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme. 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.High Quality 98% Tretinoin demonstrate 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,800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle [9] were tested by different statistical approaches.Professional Active Powered Line Array Speaker Mini 5 Inch Audioshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty(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 inSMD3014 LED Strip Light 60LEDs/M 7.2W CRI 90 5years Warranty.

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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 Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can, required air pressure, and power were considered as predictor variables simultaneously.

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Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels$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.Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale, 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%)Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

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.Adv. 1 Alloy Wheel . Moreover,150cc 4-Stroke, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, 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 (High Efficiency 6kw Grid Tied Solar Power System for Home), maintenance (China Safe Automatic CVT 150cc Go Kart Motor with Reverse), 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,Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market), and annual cost index of mineral processing equipment.Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China.Minerals Engineering,vol. 81. pp. 103-108.         [Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2]

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Mular, A.L. 1982.Buy Food Grade Metal Material Empty Cans for 0.5-2.5L.Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps.1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas, Montreal. 265 pp.         [PA Speaker Parts&Accessories Back Plate Speakon Nl4 ]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim.Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim.1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas, Montreal. 319 pp.         [1L Microstome Metal Drum Customization Printing Logo]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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