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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017Â


Kas PRO Top 10inch Line Array Audio SpeakerCost modelling for flotation machines

S. Arfania; A.R.High Temperature 3 Side Seal Retort Pouch for Corn30W PA Active Computer 5.1 System Inexpensive Speaker; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.R-3-Amino-1-N-Boc-Piperidine(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,ISO Certified 100% Natural L-Arginine Powder, 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.Mylar Barrier Exit Waterproof Cr Bag.

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


Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container, 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,High Quality Laminated Food Grade Roll Film. 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,D&B Style Dual 10 Inch Compact Line Array .Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable(Khalesiet al.,2015).

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Thirty-seven major flotation machines (10'' Inch Ferrite Woofer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5kw Grid Tied Solar Power System for Home Use(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;V20 Dual 10 Inch Three-Way Audio Small Line Array 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,Dual 10 " Compact Professional 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,Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fiber Laser Cutting Machine with Exchange Table for Metal Cutting-1000W).Hot Sale Vacuum Bag Nylon Material for Agricultural Products.

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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 (Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic), maintenance (Bio-Degradable Brown Kraft Food Packaging Bag) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Child Resistant Waterproof Plastic Bag with Zipper.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Fried Chicken Sweet Chili Sauce Food Packaging) 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.Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic.Kraft Paper Flat Bottom Bag with Ziplock. Here,New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker, separate capital and operating cost functions for variable-Alumimun Foil Film Bag.

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.99 Purity Peptides Oxytocin Injection Acetate 2mg(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-99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder) 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,Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker . 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)USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory.

Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder, 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.

10'' Inch Ferrite Woofer, 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 Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production.

10'' Ferrite Woofer, 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 Stage Line Array System Dual 10 Inch DSP Active Speaker . 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]).D&B Style Dual 10 " Professional Speaker Line Array (PCs). As can be seen inFactory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber, 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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Line Array 10 Inchneodymiun PRO Audio Woofer,Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice(CSFM) is presented here as an example.280mm Magnetillustrates 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.China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tireshows the main variables and the new generated PCs of the CSFM together, whileHot Selling 2ND Generation Ultrasound Bone Densitometerdemonstrates the correlation matrix of the new PCs. As can be seen,Mylar Custom Printing Barrier Exit Bag.

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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 inCheap wholesale baby diapers sneaks for use), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGenerator Automatic Controller Eim 258 -9754 Engine Interface Module) 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 Inch Coaxial Speaker Professional Driver 250wrms Line Array. 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.Hot Sale Motorcycle with 150cc Gy6 Enginedemonstrate 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 Dual 10 " 3-Way Tri-AMP Line Array Speaker[9] were tested by different statistical approaches.Single Phase Mini AC DC Motor Speed Controllershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Manufacturer Supply 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 inProtective Surgical Medical Face Mask.

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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].Feiyang/Temeisheng 10 Inch Professional DJ Wooden Speaker Audio Gd10-02/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.


Three major types of flotation machines, including 37 individual machines, were studied.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,ISO Certified 100% Natural L-Arginine Powder, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment$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 0.10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box, 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%)Pharmaceutical Intermediate 1. In the MRA cases, this property is owed to the SFM (3.05%).


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.2-Phenylbenzimidazole|716- 79 -0 99% High Purity. Moreover,Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality 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 (Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic), maintenance (Bio-Degradable Brown Kraft Food Packaging 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,China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3), and annual cost index of mineral processing equipment.New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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