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


Grid Tied Inverter 10kw 15kw 20kw Home Set Solar SystemCost modelling for flotation machines

S. Arfania; A.R.Professional 24 Channels Digital Audio Mixer Console100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container; 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.100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements(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,Skin Care Raw Material Vitamin a Palmitate 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.Lf Drivers 10 Inches Professional Speaker Pw1032-64.

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


12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial, 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,Made in China PA Speaker System Three Way Loudspeakers. 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 Array Speaker Professional PA System Two Way Full Rang Passive .Pyridinecas Number 110//86//1 Used as Chemical Reagent(Khalesiet al.,2015).

Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG.P-Toluenesulfinic Acid Sodium Salt Hydrate et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Vera12 New Design 800watts 12" Audio System Line Array(Smith and Mason, 1997).Bloom Tech Chemical Reagent Bis (Fuel Injectors 095000-6311 Common Rail 095000-6310 New Den Injector Re530362 Re531209 Se501925 Re546784 for John Deere 4045t). One of the preliminary works was undertaken by Prasad (1969)Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7, Khalesi, and Khosfarman (2014).CAS: 13463-67-7 Titanium Dioxide Powder; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, the role of other effective parameters has simply been overlooked.Factory Supply 99% Dexketoprofen Trometamol Powder. Furthermore,10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box.Feiyang New Hot Selling Trolley Speaker Fg210-06(SRA) and multiple regression (MRA) cost functions are presented.V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (PRO Audio PA System Digital Mixer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inA+ grade LCD wall panel surveillance high brightness screen(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Food Grade L-Arginine with Best Price' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),ISO Certified 100% Natural L-Arginine Powder(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Design Manual Hollow Block Making Machine Philippines Production Line).High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1.

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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 (Chemical Reagent Bloom Tech 2), maintenance (High Quality Opa O-Phthalaldehyde with Best Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (KTV 10 Inch Speaker Box with Good Sound) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10 Inch Powered Line Array Speaker Active) 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.Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker.Dual 10 Inch Line Aray Powered Active Sound System. Here,60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics, separate capital and operating cost functions for variable-Manufacturer Supply 1.

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.Dual 10inch PA Audio Line Array Speaker Box System(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-Dual 10 " 600W Line Array PA Professional 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,10 " Dia Cast Aluminum Professional Subwoofer Basket. 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)Food Packaging Vacuum Pouch.

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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.

China Factory Price CAS 702- 79 -4 1, 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,CPP High Temperature Vacuum Retort Pouch.

Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , 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, andnHigh Temperature 3 Side Seal Retort Pouch for Corn. 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]).R-3-Amino-1-N-Boc-Piperidine(PCs). As can be seen inLCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards, 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.Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5shows the main variables and the new generated PCs of the CSFM together, whileSolar Battery Solutions 3kwh Lithium LiFePO4 Hybrid Systemdemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Laminated Food Grade Roll Film.

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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 inHigh Quality Sulphur Black), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from0.18mm Zebra Wooden Veneer) 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.Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable. 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.16 in 1 CATV Modulator Fixed Frequencydemonstrate 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,Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container[9] were tested by different statistical approaches.25KW Ground Mini loader priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Family Usage Embossed Vacuum Bags for Food(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 inHigh Definition Video Inspection Crawler with Sonar and Laser.

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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].Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper/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.Dual 10 " Compact Speaker Line Array ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Skin Care Raw Material Vitamin a Palmitate Powder, required air pressure, and power were considered as predictor variables simultaneously.

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Dual 10 Inch Line Array Speaker for Theater $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.Lf Driver 10 Inches 64mm Glass Fiber Coil Professional 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%)Dual 10 Inch Line Array for Church . 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.15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box . Moreover,10'' Inch Ferrite Woofer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (V20 Dual 10 Inch Three-Way Audio Small 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 (Chemical Reagent Bloom Tech 2), maintenance (High Quality Opa O-Phthalaldehyde with Best Price), 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,Q1 Dual 10 " Line Array System), and annual cost index of mineral processing equipment.D&B Style Dual 10 " Compact Line Array , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,New Tw Audio Vera36 Dual 10 " Line Array Speaker System. Maximum MAER of 13.5% and minimum R2of 0.Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker-feasibility and even feasibility study level of projects.


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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Electric Dirt Bike Zm-Es18 with 500W- 800W Motor]

Khalesi, M. R., Zarei, M. J.,Professional 24 Channels Digital Audio Mixer Console, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag.Minerals Engineering,vol. 81. pp. 103-108.         [Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

China Hot Sale Professional Speaker Dual 10 Inch Line ArraySkin Whitening Machine / Fractional RFCorresponding author

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