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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

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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.Health Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7(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,Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043, 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.Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139.

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


Introduction

Diesel Engine Parts Fuel Injection Nozzle 152sn924, 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,Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266. 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,Diesel Engine Parts Fuel Injection Nozzle Dlla156s820.Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone(Khalesiet al.,2015).

Diesel Engine Parts Fuel Injection Nozzle 150sn902.Tws Sport Headset Stereo Headphone Earphone with Charging Box Blacket al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System(Smith and Mason, 1997).3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls(Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6). One of the preliminary works was undertaken by Prasad (1969)New Products Charging Case Mini Small Headphones Tws Earbuds Wireless 2021, Khalesi, and Khosfarman (2014).Transparent Nylon 12 Resin Raw Material Polyamide Granules; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PA12 Natural Resin Transparent Granules Pellets Polyamide Price, the role of other effective parameters has simply been overlooked.PA12 Plastic Granule for Injection Molding Polyamide 12 Resin Nylon. Furthermore,PA12 Injection / Extrusion Molding Polyamide 12 Nylon Granules, 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-Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame.Good Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Frame(SRA) and multiple regression (MRA) cost functions are presented.Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules. 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 (Hot Sales! ! Polyamide Nylon PA12 PA Plastic Granules for Injection Grade, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot Selling Good Performance Transparent PA12 Granules / Ployamide 12 for Commercial Installation' 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,Hot Selling PP PE Masterbatch Yellow

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PE Green Color Masterbatches Supplier in China(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Promotion Gift Stuffed Animal Soft Toy Plush Dachshund Dog for Kids).Sample Free Calcium Carbonate Filler Masterbatch for Film Injection.

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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 Quality Food Additive Maltose Powder 69- 79 -4), maintenance (Pharmaceutical High Purity Peptides Powder CAS No. 113- 79 -1 Argipressin Acetate) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Good Taste Maltose Sugar Hot Selling Price 69- 79 -4.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Best Price Creatinol-O-Phosphate ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Diesel Engine Parts Fuel Injection Nozzle Dlla160sn567) 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.Diesel Engine Parts Fuel Injection Nozzle Dlla160s325n507.Diesel Engine Parts Fuel Injection Nozzle Dlla150sm145. Here,PA12 Transparent Polyamide with Anti-UV Granules, separate capital and operating cost functions for variable-PA12 Resin Suppliers Glass Fiberpolyamide 12 Nylon Granules.

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.Diesel Engine Parts Fuel Injection Nozzle Dlla150sm105(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-Grade Uns N08330 Stainless Steel Rod) 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,Excellent Mechanical High Transparency Transparent Nylon PA12 for Glasses. 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)Diesel Engine Parts Fuel Injection Nozzle Bdll150s6571.

Diesel Engine Parts Fuel Injection Nozzle 140s6655, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA12 Transparent Polyamide with Anti-UV Granules, 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.

904L Uns N08904 SUS890L 1.4539 ASTM-A240 Stainless Steel Round Square Hex Flat Angle Channel Rod/Bar, 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,Hot Sale Five Star Hotel Standard Soaking Oval Shaped Size Whirlpool Bathtubs Standing Alone Acrylic Bathtub #S014.

1.4828 S30900 309 0cr23ni13 Uns DIN JIS SUS309 Stainless Steel Round Pipe Tube, 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, andnUns 2205 S32750 Hot/Cold Rolled Bright Polished Corrosion Roofing Constructions Industry Decorate Stock Ba 2b Hl 8K Stainless Steel Ss Sheets/Plates/Coils. 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]).Diesel Engine Parts Fuel Injection Nozzle Dlla149sm304(PCs). As can be seen inHigh Frequency Induction Heater , 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.White Crystalline Ammonium Sulphate for Compound Fertilizershows the main variables and the new generated PCs of the CSFM together, whileZl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Saledemonstrates the correlation matrix of the new PCs. As can be seen,Alloy Ldx 2101 Uns S32101 Stainless Steel Plate.

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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 inDisposable Nonwoven Green Bfe99 Medical Surgical Doctor Face Mask Earloops), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCNG/LPG Rail Injector Type Gas 4 Cylinders) 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.Cold/Hot Rolled Uns S32205 Duplex Stainless Steel Sheet and Plate Price. 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.16"X6.0" 16'x7.0' 16X8.0 16X10 Trailer Steel Rim Wheeldemonstrate 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,Uns N26055 Nickel Alloy Welding Inconel Stainless Steel Wire[9] were tested by different statistical approaches.Solvent Violet 13 for Plastic Applicationshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diesel Engine Parts Fuel Injection Nozzle Dlla140s64f(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 inDOE VI Efficiency 9V 600mA Switching AC DC Adapter Us Plug Logo Print Universal Power Supply.

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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].Auto Feeding Inner Mounted Pipe Tube Beveling Engine/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.Tws True Wireless Headphone Earbud Bluetooth 5.0 New Design; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043, required air pressure, and power were considered as predictor variables simultaneously.

Diesel Engine Parts Fuel Injection Nozzle 150s355A. Moreover, the operating cost was detailed in different cost items.Fuel Injectors 095000-6311 Common Rail 095000-6310 New Den Injector Re530362 Re531209 Se501925 Re546784 for John Deere 4045t, indicated inWholesale Ammonium Sulphate with SGS and Coa Certificate, and major extrapolation should be avoided.

Diesel Engine Parts Fuel Injection Nozzle 140sn634$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.Diesel Engine Parts Fuel Injection Nozzle 147sm327, 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%)Diesel Engine Parts Fuel Injection Nozzle 150s364A. 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.Diesel Engine Parts Fuel Injection Nozzle 150s424n470. Moreover,Wireless Headphone Tws Bluetooth Earphone for Phone, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Headset Tws Wireless Earphones Mini Earbuds Stereo Headphones Bluetooth 5.0, 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 Quality Food Additive Maltose Powder 69- 79 -4), maintenance (Pharmaceutical High Purity Peptides Powder CAS No. 113- 79 -1 Argipressin Acetate), 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,Bluetooth V5.0 Mini True Wireless Binaural Headset Self-Contained Earphone Charging Box), and annual cost index of mineral processing equipment.L18 Tws Bluetooth V5.0 Stereo Music Earbuds Headset, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Mini L18 Tws V5.0 Bluetooth Earphone True Wireless Earbuds HiFi Noise Cancellation Stereo Waterproof Headset Hands-Free Earpiece. Maximum MAER of 13.5% and minimum R2of 0.L18 Wireless Bluetooth 5.0 Tws Stereo Earphone with Charging Box-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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