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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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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.High Purity Retinol Palmitate Powder(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,Hot Sale Dual 10 " Speaker PRO Audio , 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.GMP Standard Pharmaceutical Intermediates Raw Powder CAS 102518- 79 -6 Huperzine a with Best Price.

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


Introduction

Qige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%, 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,China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0. 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,Plastic Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch.Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGlossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Waterproof Outdoor Dual 10 " Line Array' 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,Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cody Lundin Custom Digital Printing Mens Dry Unisex Running Sportswear Tshirt).Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee.

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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 (Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate), maintenance (Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Outdoor Speaker Dual 10 Inch Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (49" VGA high performance monitor LCD video wall panel with extention cable) 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.LG LD490DUN-TJB2 LCD wall mount video with 2X2 panel.High Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolic. Here,1.8mm ultra narrow bezel 16: 9 LED TV video wall for home, separate capital and operating cost functions for variable-wall mount 16: 9 LCD screen video for big project.

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.aluminium video wall LCD HD 1080P flat panel display(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-LG LD550DUN-TKB1 video wall system with matrix switcher) 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,Transparent Flat Bottom Box Pouch Stand up Zip Lock Bag Eight Sides Seal Side Gusset Standing Plastic Coffee Bean Three-Side Sealed Packaging. 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)Transparent Flat Bottom Box Pouch Stand up Zip Lock Eight Sides Seal Bag Side Gusset Standing Plastic Clear Coffee Bags Manufacturer Reusable PE Pet Food.

Laser Aluminum Resealable Value Pack Stand up Zip Lock Bag Hologram Self Seal Zipper Plastic Sealing Digital Food Packaging Mylar Paper Glossy, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W, 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.

Prfessional Audio 10''karaoke Loudspeaker, 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,10 Inch KTV System Woofer.

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whereCeis the estimated cost,Cathe actual cost, andnLaminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container. 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]).10 Inch Compact Line Array PRO Audio(PCs). As can be seen inPortable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS, 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.15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoorshows the main variables and the new generated PCs of the CSFM together, while10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array Systemdemonstrates the correlation matrix of the new PCs. As can be seen,50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub.

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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 inPlywood Making Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from220VDC to 220VAC Variable Frequency Inverter) 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.Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder. 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.12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCSdemonstrate 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,RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives[9] were tested by different statistical approaches.Factory Supply BMK White Powder Oil Eurore Warehouse Fast Delivery CAS: 5413-05-8shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Thiosemicarbazide CAS 79 -19-6(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 inIP68 Waterproof Metal Stand Alone Access Controller.

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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].High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price/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.PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Sale Dual 10 " Speaker PRO Audio , required air pressure, and power were considered as predictor variables simultaneously.

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Low Price 4$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.High Purity CAS 64318- 79 -2 Gemeprost, 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%)Ziplock Dog Food Bag with Bottom Gusset. 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.High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1. Moreover,Custom Printed Food Grade Ziplock Packing Bag, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container, 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 (Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate), maintenance (Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310), 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,Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container), and annual cost index of mineral processing equipment.Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag. Maximum MAER of 13.5% and minimum R2of 0.China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear-feasibility and even feasibility study level of projects.

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L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Excellent Gel Resistance Ability Polyamide Resin]

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USBM. 1987.D&B Q1 Style Dual 10 Inch Professional Speaker ,Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Kllisre DDR3 8GB RAM 1600 1333 No Ecc Desktop PC Memory 240pins System High Compatible]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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