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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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4 Feet Chipper Debarker/Wood Log Debarking and Rounding Machine for Plywood

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.2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adult(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,3 Liter Tin Packing Chemical Can with Spout, 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.Food Grade Round Tin Can for Welded Milk Powder Packaging.

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


Introduction

1gallon Round Metallic Tin Can with Metal Handle for Paint, 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,Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W. 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,Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use.350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Zl08f Wheel Loader with Rops Cab' 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,10HP Three Phase Frequency Converter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,3HP Frequency Converter Vector Three Phase, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),15HP Three Phase Frequency Converter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Round Bamboo Sticks for Making Incense).Power Smart Electric Scooter with LED Light 60V800W20ah.

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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 (3HP Three Phase Frequency Converter), maintenance (1HP Frequency Converter Vector Three Phase) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,15HP Frequency Converter Vector Three Phase.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2HP Frequency Converter Vector Single Phase) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw) 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.Home Use 6kw Grid Tied Solar Power System with High Performance.Hot Sale 10kw 10000W off Grid Solar Power System Home Use. Here,4kw 3phase Frequency Converter 50Hz to 60Hz, separate capital and operating cost functions for variable-1.5kw 3phase Frequency Converter 50Hz to 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.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels(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-Round Tin Can for Food Packaging Empty Tinplate) 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,2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal. 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)Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs.

Technical Wood Veneer MDF Boards for Cupboard, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Small Metal Tin Can with Open Top Lid for Lubricant, 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.

Long Using Life Shuttering Plywood with Logo for Construction, 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,Huihuang Bamboo Fence Timbers.

Solar Power System Home 5kw off Grid Tied Solution, 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, andn2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults. 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]).Power Mini Electric Scooter for Lady 60V800W(PCs). As can be seen in0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture, 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.No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Themeshows the main variables and the new generated PCs of the CSFM together, whileYellow Color Plastic Masterbatchdemonstrates the correlation matrix of the new PCs. As can be seen,High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use.

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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 in3D Wheel Alignment with Large Screen Wld-Ae306 for Sale), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from500kw Solar Energy System Grid Tied 500kwatt Panel Station) 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.Variable Frequency Inverter Solar Pump DC/AC. 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.1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1Ldemonstrate 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,Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box[9] were tested by different statistical approaches.ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing(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 inLarge Capacity Multi-Function Lightweight Backpack.

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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].Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap/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.500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3 Liter Tin Packing Chemical Can with Spout, required air pressure, and power were considered as predictor variables simultaneously.

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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.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin. Moreover,Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady, 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 (3HP Three Phase Frequency Converter), maintenance (1HP Frequency Converter Vector Three Phase), 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,Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult), and annual cost index of mineral processing equipment.350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults, and over- extrapolation could result in misguiding estimates.

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USBM. 1987.AC Frequency Converter 50Hz 60Hz Drive Inverter,Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [P2.5mm Indoor HD 1080P LED Full Color Display Screen]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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