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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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S. Arfania; A.R.China Factory Price CAS 702- 79 -4 1Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader; M.R. Khalesi

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.CPP High Temperature Vacuum Retort Pouch(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,Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , 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 Temperature 3 Side Seal Retort Pouch for Corn.

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


Introduction

R-3-Amino-1-N-Boc-Piperidine, 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,ISO Certified 100% Natural L-Arginine 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,Mylar Barrier Exit Waterproof Cr Bag.Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container(Khalesiet al.,2015).

High Quality Laminated Food Grade Roll Film.D&B Style Dual 10 Inch Compact Line Array et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0(Smith and Mason, 1997).Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable(Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter). One of the preliminary works was undertaken by Prasad (1969)Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container, Khalesi, and Khosfarman (2014).Family Usage Embossed Vacuum Bags for Food; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag, the role of other effective parameters has simply been overlooked.Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper. Furthermore,Dual 10 " Compact Speaker Line Array , 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-10 " Woofer with 3" Voice Coil.Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64(SRA) and multiple regression (MRA) cost functions are presented.Dual 10 Inch Line Array Speaker for Theater . 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 (Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYanmar Fuel Shutdown Solenoid 1503es-12s5suc12s(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10 Inch Line Array for Church ' 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,D&B Style Dual 10 " Compact Line Array

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Tw Audio Vera36 Dual 10 " Line Array Speaker System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sweetheart Beading Bridal Dress Plus Size Ivory Organza Wedding).Dual 10 " Compact Professional Line Array .

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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 (Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr), maintenance (Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Sale Vacuum Bag Nylon Material for Agricultural Products.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Bio-Degradable Brown Kraft Food Packaging 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.Child Resistant Waterproof Plastic Bag with Zipper.Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag. Here,Fried Chicken Sweet Chili Sauce Food Packaging, separate capital and operating cost functions for variable-Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic.

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 Flat Bottom Bag with Ziplock(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-New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker) 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,Alumimun Foil Film Bag. 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)99 Purity Peptides Oxytocin Injection Acetate 2mg.

99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker , 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.

USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory, 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,Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China.

Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder, 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, andn10'' Inch Ferrite Woofer. 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]).High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production(PCs). As can be seen inChinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA, 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]:

Spts

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.1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesaleshows the main variables and the new generated PCs of the CSFM together, whileDust Proof Steel Shackle Padlocks with Master Keydemonstrates the correlation matrix of the new PCs. As can be seen,UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds.

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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 inEnergy Saving LED Screen Outdoor P10 Full Color Video Function), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from3X3 video wall LCD HD 1080P digital display screen) 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.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice. 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.Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8demonstrate 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,Mylar Custom Printing Barrier Exit Bag[9] were tested by different statistical approaches.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lightsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment(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 inManufacture White Veined Solid Surface Kitchen Calcatta Stone Countertop.

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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 Dual 10 " 3-Way Tri-AMP Line Array Speaker/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.Manufacturer Supply 1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , required air pressure, and power were considered as predictor variables simultaneously.

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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 Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment. Moreover,10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pharmaceutical Intermediate 1, 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 (Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr), maintenance (Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag), 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-Phenylbenzimidazole|716- 79 -0 99% High Purity), and annual cost index of mineral processing equipment.Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210.10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System.Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit, Montreal. 319 pp.         [Powder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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