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



Proxima Entertainment Z-450 Digtal SpeakerCost modelling for flotation machines

S. Arfania; A.R.Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag16 in 1 CATV Modulator Fixed Frequency; 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.ISO Certified 100% Natural L-Arginine Powder(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,High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1, 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.Chemical Reagent Bloom Tech 2.

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


High Quality Opa O-Phthalaldehyde with Best Price, 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,Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G. 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,KTV 10 Inch Speaker Box with Good Sound.10 Inch Powered Line Array Speaker Active(Khalesiet al.,2015).

Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker.Dual 10 Inch Line Aray Powered Active Sound Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Safe Automatic CVT 150cc Go Kart Motor with Reverse(Smith and Mason, 1997).60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics(25KW Ground Mini loader price). One of the preliminary works was undertaken by Prasad (1969)Manufacturer Supply 1, Khalesi, and Khosfarman (2014).Dual 10inch PA Audio Line Array Speaker Box System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 10 " 600W Line Array PA Professional Speaker , the role of other effective parameters has simply been overlooked.10 " Dia Cast Aluminum Professional Subwoofer Basket. Furthermore,Food Packaging Vacuum Pouch, 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-Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery.L-Arginine 99%(SRA) and multiple regression (MRA) cost functions are presented.China Factory Price CAS 702- 79 -4 1. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (CPP High Temperature Vacuum Retort Pouch, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWhite Ammonium Sulphate NPK Fertilizer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin ' 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,Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality Laminated Food Grade Roll Film, 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 Style Dual 10 Inch Compact Line Array (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Qtj4-25 PLC Control Automatic Fly Ash Sand Stone Cement Paving Solid Curbstone Hollow Concrete Block Brick Production Line Without Hydraulic System).Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable.

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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 Plastic Coffee Flat Bottom Food Packaging with Ziplock Container), maintenance (Family Usage Embossed Vacuum Bags for Food) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 10 " Compact Speaker 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.10 " Woofer with 3" Voice Coil.Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64. Here,Dual 10 Inch Line Array Speaker for Theater , separate capital and operating cost functions for variable-Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker .

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 10 Inch Line Array for Church (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-15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box ) 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'' Inch Ferrite Woofer. 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)V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker.

Q1 Dual 10 " Line Array System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (D&B Style Dual 10 " Compact Line Array , 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 Tw Audio Vera36 Dual 10 " Line Array Speaker System, 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,Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker.

Dual 10 " Compact Professional Line Array , 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, andnCustom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr. 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]).Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag(PCs). As can be seen inBody Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus, 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.Electric Dirt Bike Zm-Es18 with 500W- 800W Motorshows the main variables and the new generated PCs of the CSFM together, whileFull Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40demonstrates the correlation matrix of the new PCs. As can be seen,Child Resistant Waterproof Plastic Bag with Zipper.

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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 inCustom Exquisite Glass Perfume Bottle with Zamac Cap), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYanmar Fuel Shutdown Solenoid 1503es-12s5suc12s) 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.Fried Chicken Sweet Chili Sauce Food Packaging. 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.Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPAdemonstrate results for the machines modelled in this research.

Multiple regression results

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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].Alumimun Foil Film Bag/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.


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USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory$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.Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China, 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%)Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder. 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.10'' Inch Ferrite Woofer. Moreover,High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10'' Ferrite Woofer, 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 Plastic Coffee Flat Bottom Food Packaging with Ziplock Container), maintenance (Family Usage Embossed Vacuum Bags for Food), 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,Professional Stage Line Array System Dual 10 Inch DSP Active Speaker ), and annual cost index of mineral processing equipment.D&B Style Dual 10 " Professional Speaker Line Array , and over- extrapolation could result in misguiding estimates.

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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.         [3X3 video wall LCD HD 1080P digital display screen]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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