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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.Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie(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,Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag, 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.China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear.

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


Introduction

10 Active Full Range Stage Sound Loud Speaker System Audio, 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,Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10. 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,Outdoors Professional/PRO Audio Speaker .Dual 10 " Two Way PA Power Line Array Speaker(Khalesiet al.,2015).

Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2.Single 10'' Two Way Line Array PRO Audioet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle(Smith and Mason, 1997).Double 10 Inch Line Array PRO Audio (20MHz RF Beauty Machine Skin Tightening). One of the preliminary works was undertaken by Prasad (1969)Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD, Khalesi, and Khosfarman (2014).Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory, the role of other effective parameters has simply been overlooked.Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut. Furthermore,High Quality Oxytetracycline Powder 100% CAS 79 -57-2, 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-CAS: 79 -44-7; Dimethylcarbamoyl Chloride;.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch(SRA) and multiple regression (MRA) cost functions are presented.200X5000mm Vacuum Sealer Bag Roll for Food Packaging. 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 (Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSingle Row Cylindrical Roller Bearing (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole' 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 Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),D&B Q1 Style Dual 10 Inch Professional Speaker (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Best Rock Jaw Crusher for Sale).Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10.

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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 (46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV), maintenance (10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA 10 -25W 4 Inch Sound Ceiling Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Aluminum Foil Plastic Papacking Vacuum Puffed Food Bag) 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.1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Container.High bright Samsung 46" 49" 55" LCD video wall screen monitor. Here,Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6, separate capital and operating cost functions for variable-43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk.

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.Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Container(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-10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show ) 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,Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly. 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)Bloom Tech Chemical Reagent .

BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium, 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.

Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4, 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,High Quality Printed Food Packaging Doypack Aluminium Zipper Bags.

High Quality Argipressine CAS 113- 79 -1 with Best Price, 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, andn1-Bromo-3. 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]).Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020(PCs). As can be seen inCosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten, 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.Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loadershows the main variables and the new generated PCs of the CSFM together, whileNew Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Saledemonstrates the correlation matrix of the new PCs. As can be seen,Professoinal Line Array System Dual 10 Inch Professional Audio Speaker.

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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 inFunctional Toy Snowman Reindeer Penguin Santa Claus Plush), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromJwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine) 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.Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity. 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.Thin-film Sputtering Pressure Transmitter For Medical Equipmentdemonstrate 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,Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4[9] were tested by different statistical approaches.RF Microneedle Thermal Facial Lift Beauty Equipmentshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Economic Mulifunctional Line Array System Speaker Dual 10 Inch(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 inUgr.

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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 Loudspeaker 10'' Neodymium Magnet/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.Kas PRO Top 10inch Line Array Audio Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker$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.LG 46" 49" 55" DVI LED video panel for monitoring, 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%)Retinoic Acid CAS No. 302- 79 -4. 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.Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bags. Moreover,Resealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bags, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Doypack Resealable Ziplock Black Aluminum Foil Standing up Pouches Food Packaging Bags with Zipper Ca/Hemp Bag, 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 (46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV), maintenance (10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.), 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,2-Way Speaker PS10 for High Quality Stage Monitor), and annual cost index of mineral processing equipment.Professional Line Array Speaker Single 10 Inch Full Range System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plastic. Maximum MAER of 13.5% and minimum R2of 0.Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808-feasibility and even feasibility study level of projects.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen.Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade.Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0, Montreal. 319 pp.         [Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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