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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.Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0(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,10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with, 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 Quality 98% Acrylamid Powder CAS 79 -06 1.

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


Introduction

Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food, 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,Food Grade Lactic Acid 79 -33-4. 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,Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4.10 " Inch Speaker System PRO Audio Entertainment Speakers (Khalesiet al.,2015).

10 -50W 6.5 Inch PA Sound Ceiling Speaker.Professional Audio Speaker Double 10 Inch Line Array et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag(Smith and Mason, 1997).Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker(Mini Speaker Line Array Wedding Decoraions DJ Mixer). One of the preliminary works was undertaken by Prasad (1969)Custom Plastic Food Contact Packaging Bags, Khalesi, and Khosfarman (2014).Dual 10 Inch 600W High-End Stage Line Array PRO Audio; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Plastic Smell Proof Custom Printed Ziplock Stand up Weed Mylar Bags with Window Hemp Packing Bag 3 Side Heat Sealed Laminated Foil Container for Coconut Sugar, the role of other effective parameters has simply been overlooked.Child Resistant Stand up Exit Bag. Furthermore,Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window, 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-Single 10 Inches Passive/Active Full-Range Professional Loudspeaker.Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof(SRA) and multiple regression (MRA) cost functions are presented.Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System. 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 (PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker' 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,Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality Custom Printed Pet Food Packaging Bags, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealing(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (X56 Wheel Alignment with 3D Camera Auto Beam).Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag.

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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 (Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock), maintenance (Amino Acid L-Arginine 99% CAS 74- 79 -3) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant) 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.Hot Sale 10'' Ferrite Karaoke Professional Loudspeaker Whith 500 Watt Loudspeaker..Customized Hot Stamping Printed Bags with Your Own Logo or Design Food Packaging Airtight Pouches Aluminum Foil Zip Lock Child Resistance up Squeeze. Here,Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch, separate capital and operating cost functions for variable-Custom Liquid Stand up Pouch Spout for Food Packaging.

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.ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing(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-Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System) 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 New Compact 10 " Active Line Array Speaker Sound System. 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)Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System.

PE Dog Food Pouch with Hole, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dual 10 Inch Line Array for Concert Live Service , 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.

Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System, 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,Double 10'' Compact Active Line Array.

CAS: 13553- 79 -2; Rifamycin S, 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, andnPE/ PA /CPP Food Vacuum Packing Bag Plastic Grade. 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]).Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price(PCs). As can be seen inChina Safe Automatic CVT 150cc Go Kart Motor with Reverse, 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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99% Purity 1-Bromo-3,Pharmaceutical Intermediate 1(CSFM) is presented here as an example.Line Array Speaker Professional PA System Two Way Full Rang Passive 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.Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connectorshows the main variables and the new generated PCs of the CSFM together, whileChina Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Qualitydemonstrates the correlation matrix of the new PCs. As can be seen,CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price.

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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 inAll in One Solar Light Garden Street Peach 15W), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCarb P2 Bleached White Poplar Plywood for Furniture) 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.O-Phthalaldehyde CAS 643- 79 -8. 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.WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwaterdemonstrate 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,99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8[9] were tested by different statistical approaches.10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1(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 in250ml Wholesale Perfumes Female Long-Lasting Cherry Blossom Deodorant Perfume Body Spray.

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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].Professional Digital Audio Line Array System Dual 10 Inch Active/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.10 Inch Sound System Speaker Box China Line Array Audio Systems; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with, required air pressure, and power were considered as predictor variables simultaneously.

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Karaoke System 10 Inch Sound Speaker Cvr Professional Audio$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 0.2 X HDMI, 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%)L10/83267-Professional Audio 10 Inch Coaxial Speaker. 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.Single 10 " Waterproof Polyurea Active Line Array Speaker Systems. Moreover,Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Two-Way Single 10 " Professional Waterproof Speaker, 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 (Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock), maintenance (Amino Acid L-Arginine 99% CAS 74- 79 -3), 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,Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply), and annual cost index of mineral processing equipment.Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance. Maximum MAER of 13.5% and minimum R2of 0.Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers-feasibility and even feasibility study level of projects.

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Dual 10 Inch Line Array for Concert Live Service , A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Line Array Speaker PRO Audio System 10'' Neodymium Loudspeaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Free Sample 5GHz Antenna Rubber Gain]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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