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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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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

GENERAL PAPERS

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S. Arfania; A.R.E0 Glue1250*2500mm Wenge Engineer Veneer for DecorationProfessional Factory Motorcycle Tyre and Motorbike ; M.R. Khalesi

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.Wood Woven and Strand Bamboo Veneer Sheets(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,Rotary Cut Bintagor Veneer for Panels and Furniture with Good Price, 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.High Quanlity 1 Phase 3 AC Drive VFD for Pump.

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


Introduction

Factory-Okoume Veneer 0.25mm-0.60mm in a and B Grade, 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,Engineered Ebony Veneer Ecowood Reconstituted Macassar Quarter Cut. 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,899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate.Promotional Commercial Tx6s Ota Auto Update Android 4K Ott TV Box Firmware Allwinner H616 4GB 32GB(Khalesiet al.,2015).

3phase VFD.0.75kw 1HP AC Frequency Inverteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease(Smith and Mason, 1997).Round Gloss Tin Can Metal for Edible Olive Oil Canning(CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate). One of the preliminary works was undertaken by Prasad (1969)Universal Vector Inverter, Khalesi, and Khosfarman (2014).Frequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High-Performance Variable Frequency Inverter 3-Phase 380V, the role of other effective parameters has simply been overlooked.Wl80 Mini Loader From Wolf. Furthermore,Wolf Mini Wheel Loader Wl950 Farm, 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-Zl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loader.Tin Cans with Metal Cover for Paint or Chemical Packaging(SRA) and multiple regression (MRA) cost functions are presented.Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing. 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 (5L Chemical Oil Tinplate Can with Metal Press Cover, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1 Liter Cans for Curing Agent(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail' 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,Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TV, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Food Grade 280ml Empty Tin Can for Camellia Oil(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Breathable Disposable China Happy Baby Diapers Made in).800W Fashion Power Motorcycle Cheap Electric.

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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 (Rectangular Glue Tin Can Empty Clear Paint), maintenance (Metal Tinplate Container Engine Oil Can with Screw Cap) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Square Tin Paint Packaging Can Lubricant Oil Containers.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (800W Electric Scooter/Motorcycle with LED Light) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Citycoco Electric Motorcycle E6 Cheap OEM E Bike) 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.800W Deft Fresh Type Drum Brake Brushless Motor Electric Motorcycle.Euro5. Here,Retro Scooters, separate capital and operating cost functions for variable-2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel.

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.HK1 S905W 2g 16g 7.1 Android TV Box of New Product Set Top with Low Price Kd Player 17.0(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-Popular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle) 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,72V20ah Battery 800W Motor 60km Distance Range Electric Motorcycle. 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)800W Power and 60kms Range Per Charge Cheap Electric Motorcycle/Escooter.

Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Multi Birch Veneer Plywood Manufacturer, 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.

Empty Round Tin Can Paint Package Container, 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-Engineer White Oak Veneer in 0.25mm.

Rectangular Brake Oil Container Motor Engine Tin Can, 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, andnCustomized Multi Birch Veneer Plywood Manufacturer. 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]).Edible Oil Can Manufacturer Square Food Grade Metal Tin(PCs). As can be seen inGy6 /Jog Motorcycle Regulator/Rectifier Parts, 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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Compact structure mini loader/wheel loader/ with 0.8ton bucket for building construction,CE Approved Wolf 0.8ton Bulldozer Mini Loader with Bucket(CSFM) is presented here as an example.Electrical Saver Box illustrates 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.Building Material Commercial Plywood with Carb to Europeshows the main variables and the new generated PCs of the CSFM together, whileDiesel Engine Parts Fuel Injection Nozzle 150s355Ademonstrates the correlation matrix of the new PCs. As can be seen,1051 China Manufacturer Big on Grid Solar System Government Projects 1 MW 5wm 10.

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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 inFusion Splicers for Telco Fiber Optic Equipment), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMotorcycle Parts Ignition Key Switch Lock Gy6 Scooter) 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.Metal Tin Can Engine Oil Empty Tinplate Container. 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.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Ricedemonstrate 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,Rosen 35kw Grid Tied on Solar System to Global Market[9] were tested by different statistical approaches.12V AC Warm White PC Mini Flat Resin Filled LED Pool Lightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.800W High Speed Electric Scooter/Bike(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 inCute Mini Brooch Women Custom Logo Hard Enamel Pin.

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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].10L Customized Tin Cans Paint Coating Used Metal Square Can/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.500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bike; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Rotary Cut Bintagor Veneer for Panels and Furniture with Good Price, required air pressure, and power were considered as predictor variables simultaneously.

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Cheap Small Electric Scooter Moped 800W Motorcycle$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.Frequency Converter for Small Power Motors 3pH 380V 50/60Hz, 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%)Manufacturer of Rectangular Brake Oil Motor Engine Tin Can. 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.2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System. Moreover,Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (866 5kw on Grid Solar System with Power Inverter for Home, 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 (Rectangular Glue Tin Can Empty Clear Paint), maintenance (Metal Tinplate Container Engine Oil Can with Screw Cap), 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,Food Grade Metal Tin Can with Printing Logo for Cooking Oil), and annual cost index of mineral processing equipment.Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,800W Electric Scooter . Maximum MAER of 13.5% and minimum R2of 0.Good-Sealing Square Tin Can Engine Oil with Metal Lid-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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