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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.10 " Dia Cast Aluminum Professional Subwoofer Basket(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,Food Packaging Vacuum Pouch, 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.Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery.

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


Introduction

L-Arginine 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 CAS 702- 79 -4 1. 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,CPP High Temperature Vacuum Retort Pouch.Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin (Khalesiet al.,2015).

High Temperature 3 Side Seal Retort Pouch for Corn.R-3-Amino-1-N-Boc-Piperidineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter(Smith and Mason, 1997).ISO Certified 100% Natural L-Arginine Powder(Fast Delivery High Purity Benzaldehyde 100-52-7). One of the preliminary works was undertaken by Prasad (1969)Mylar Barrier Exit Waterproof Cr Bag, Khalesi, and Khosfarman (2014).Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Laminated Food Grade Roll Film, the role of other effective parameters has simply been overlooked.D&B Style Dual 10 Inch Compact Line Array . Furthermore,Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable, 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-Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container.Family Usage Embossed Vacuum Bags for Food(SRA) and multiple regression (MRA) cost functions are presented.Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag. 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 (Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAC Drive Inverter Low Frequency Power(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10 " Compact Speaker 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,Dual 10 Inch Line Array for Church

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,15 Inch/12 Inch/ 10 Inch/8 Inch Full Range 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),10'' Inch Ferrite Woofer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (V3d Wheel Alignment Machine - Small Targets with HD Cameras).V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker.

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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 (Q1 Dual 10 " Line Array System), maintenance (D&B Style Dual 10 " Compact Line Array ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Tw Audio Vera36 Dual 10 " Line Array Speaker System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 10 " Compact Professional Line Array ) 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.Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr.Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag. Here,Hot Sale Vacuum Bag Nylon Material for Agricultural Products, separate capital and operating cost functions for variable-Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic.

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.Bio-Degradable Brown Kraft Food Packaging Bag(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-Child Resistant Waterproof Plastic Bag with Zipper) 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,Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging 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)Fried Chicken Sweet Chili Sauce Food Packaging.

Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Kraft Paper Flat Bottom Bag with Ziplock, 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.

New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker, 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,Alumimun Foil Film Bag.

99 Purity Peptides Oxytocin Injection Acetate 2mg, 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, andn99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder. 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]).Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker (PCs). As can be seen in30W PA Active Computer 5.1 System Inexpensive Speaker, 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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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(CSFM) is presented here as an example.5kw Grid Tied Solar Power System for Home Useillustrates 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.Benzyl Benzoate Pharmaceutical Intermediatesshows the main variables and the new generated PCs of the CSFM together, whileFactory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorberdemonstrates the correlation matrix of the new PCs. As can be seen,10'' Inch Ferrite Woofer.

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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 inMotorcycle Carburetor Intake Manifold Pipe Joint for Honda Cg125), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire) 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 0.10'' Ferrite Woofer. 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.Frequency Inverter 220V 50/60Hz 60HP Three Phases Acdrivedemonstrate 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 Inch DSP Active Speaker [9] were tested by different statistical approaches.Heavy Loader 5wheel Cargo Tricycle with Cabinshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.D&B Style Dual 10 " Professional Speaker Line Array (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 inNew Arrival Belt Waist Bag Sport Fanny Pack Pattern Crossbody.

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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].Line Array 10 Inchneodymiun PRO Audio Woofer/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.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Food Packaging Vacuum Pouch, required air pressure, and power were considered as predictor variables simultaneously.

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10 Inch Coaxial Speaker Professional Driver 250wrms Line Array$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.Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker, 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%)Manufacturer Supply 1. 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.Dual 10inch Powerful Line Array Speaker Ds210 Professional. Moreover,Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Neodymium Double 10 Inch DSP Active Professional Powered Line Array 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 (Q1 Dual 10 " Line Array System), maintenance (D&B Style Dual 10 " Compact Line Array ), 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,Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794), and annual cost index of mineral processing equipment.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment. Maximum MAER of 13.5% and minimum R2of 0.10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box-feasibility and even feasibility study level of projects.

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Professional Public Address Mini Onwall Line Array Speaker ]

Khalesi, M. R., Zarei, M. J.,Dual 10 " 600W Line Array PA Professional Speaker , A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3.Minerals Engineering,vol. 81. pp. 103-108.         [Industrial Grade SHMP ]

Kim, G.H., An, S.H., and Kang, K.I. 2004.High Quality 1, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Rectangular Glue Tin Can Empty Clear Paint]

Lashgari, A.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3, A.R. 2013.New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale,Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price,vol. 23. pp. 441-446.         [BSCI Sedex Certified 10 Oz 10oz White Ceramic Stoneware Coffee Mug]

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Mular, A.L. 1982.Best Price O-Phthalaldehyde.Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide, Montreal. 265 pp.         [Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Qsn Professional Audio Dual 10 "Power Speaker Xt10.Hot Selling Powder Thiabendazole CAS 148- 79 -8.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide, Montreal. 319 pp.         [Radlader Zl08 Wheel Loader for Sale Mini Articulated]

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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Two-Way Passive Line Array .Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio]

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USBM. 1987.Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant,Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [2014 Brand New A-Line White Lace Spaghetti Organza Wedding Dresses Bridal Gowns]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under a50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub