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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.Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag(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,Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker, 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.Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers.

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


Introduction

Cheap Stage Speaker Design for PA System 200W, 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,Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder. 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,Line Arrays Speaker Dual 10 Inch Powered Sound system.8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging(Khalesiet al.,2015).

Dual 10inch 3 Way Professional Stage Line Array Speaker.Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic(Smith and Mason, 1997).Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1(1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System). One of the preliminary works was undertaken by Prasad (1969)Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags, Khalesi, and Khosfarman (2014).Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Suking Hot Selling Chemical Product , the role of other effective parameters has simply been overlooked.CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder. Furthermore,Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9, 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-Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7.Food Packaging Bag(SRA) and multiple regression (MRA) cost functions are presented.B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker. 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 Double 10 Inch Line Array Speaker Professional Outdoor PA System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPortable 20Hz RF Face Lift Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags' 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,Professional Line Array System Dual 10 Inch 3 Way Passive

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PS10 Professional Sound System 10inch Audio Speaker Box, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Top Quality Waterproof Wood Patterns Vinyl Plank Flooring PVC).Dare 10inch Passive Line Array Sound System.

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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 (Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag), maintenance (Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Heat Seal Candy Snack Food Packaging Ny PE Pet Custom Plastic Stand up Pouch Doypack Free Design Rice Bottle Smell Proof Soft Touch Aluminum Vitamin Cookie Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3) 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.Manufacturer Supply 1.Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People. Here,99% Glycolic Acid Powder CAS 79 -14-1, separate capital and operating cost functions for variable-5f-Pcn CAS No. 1445579- 79 -2 in Stock.

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.Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde(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-Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate ) 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,Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic Pouch. 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)Line Array 10'' Neodymiun PRO Audio Woofer.

Diesel Engine Parts Fuel Injection Nozzle 160sn529, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CAS: 702- 79 -4; 1, 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.

Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine, 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,Professional Audio Speaker Dual 10 Inch 3 Way Line Array System.

Loudspeaker 10'' Midrange & Bass, 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, andnProfessional Speaker System Single 10 Inch 300W Mini Line Array Vr10. 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]).Dual 10 " Hot Sales Q1 Line Array Speaker(PCs). As can be seen inFactory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System, 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.Best Sale Bulk Price1shows the main variables and the new generated PCs of the CSFM together, whileAutomaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panelsdemonstrates the correlation matrix of the new PCs. As can be seen,Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up.

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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 inDouble Coating 500kg/Hour High Capacity Chocolate Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2.4GHz Wireless Ceiling Speaker PA System) 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.Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof. 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.959 33kw on Grid Solar Home System with Power Inverterdemonstrate 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,Professional Stage Line Array System Dual 10'' Speaker[9] were tested by different statistical approaches.Sofa PVC Leather 2021shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed(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 inPE Coated Eco Friendly High Quality Paper Coffee Cups for Wedding and Party.

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Cost model for variable-Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag

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].PRO Audio Speaker Dual 10 " Line Array/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 " PRO Audio Line Array Speaker System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker, required air pressure, and power were considered as predictor variables simultaneously.

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Custom Printing Food Packaging Plastic Bags with Resealable Zipper$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 0.10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth, 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%)Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System.. 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.100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil. Moreover,8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging, 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 (Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag), maintenance (Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags), 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,Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk), and annual cost index of mineral processing equipment.Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Custom Cat Food Bags. Maximum MAER of 13.5% and minimum R2of 0.Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer-feasibility and even feasibility study level of projects.

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USBM. 1987.Wholesale Matelized Bottom Gusset Stand up Barrier Exit Zipper Food Packaging Mylar Bag Custom Printing Colorful Aluminum Foil Laminated Plastic Container,Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [5 Years Warranty Outdoor Solar LED Garden Light]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7Factory Wholesale Price Industrial Induction Vacuum FurnaceCorresponding author

Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aPhotovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching