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



316L Ceramic Pressure Transducer for Health Care IndustryCost modelling for flotation machines

S. Arfania; A.R.Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7300cc Triciclo Con Cabina; 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.CAS: 13463-67-7 Titanium Dioxide 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,Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, 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.Factory Supply 99% Dexketoprofen Trometamol Powder.

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


10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , 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,Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box. 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,Feiyang New Hot Selling Trolley Speaker Fg210-06.V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater(Khalesiet al.,2015).

PRO Audio PA System Digital Mixer.Food Grade L-Arginine with Best Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer(Smith and Mason, 1997).J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System(125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump). One of the preliminary works was undertaken by Prasad (1969)10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure, Khalesi, and Khosfarman (2014).Wild Bee Venom Extract Melittin 99% Powder for Skin Care; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1, the role of other effective parameters has simply been overlooked.Retinoic Acid CAS 302- 79 -4 in Stock. Furthermore,Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag, 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-ISO Certified 100% Natural L-Arginine Powder.High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1(SRA) and multiple regression (MRA) cost functions are presented.Chemical Reagent Bloom Tech 2. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High Quality Opa O-Phthalaldehyde with Best Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725g Yineng Mini Front End Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G' 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,60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Manufacturer Supply 1, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dual 10inch PA Audio Line Array Speaker Box System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cheap Acrylic Freestanding Whirlpool Massage Bathtub).Dual 10 " 600W Line Array PA Professional 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 (10 " Dia Cast Aluminum Professional Subwoofer Basket), maintenance (Food Packaging Vacuum Pouch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (L-Arginine 99%) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Factory Price CAS 702- 79 -4 1) 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.CPP High Temperature Vacuum Retort Pouch.Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin . Here,High Temperature 3 Side Seal Retort Pouch for Corn, separate capital and operating cost functions for variable-R-3-Amino-1-N-Boc-Piperidine.

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.ISO Certified 100% Natural L-Arginine Powder(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-Mylar Barrier Exit Waterproof Cr Bag) 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,Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container. 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)High Quality Laminated Food Grade Roll Film.

D&B Style Dual 10 Inch Compact Line Array , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable, 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.

Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container, 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,Family Usage Embossed Vacuum Bags for Food.

Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag, 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, andnSnsck Food Bag Fried Flat Bottom Box Pouch with Zipper. 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]).Dual 10 " Compact Speaker Line Array (PCs). As can be seen inMotorcycle Parts High Quality Cam , 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.High Qualty Line Array Loudspeakershows the main variables and the new generated PCs of the CSFM together, whileSingle 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeakerdemonstrates the correlation matrix of the new PCs. As can be seen,Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker .

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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 Metal Medal Soft Enamel Lapel Pin for Promotion), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPortable 15inch PA Speaker F15+) 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 0.15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box . 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.Virgin PA12 Resin GF20 GF30 Pelletsdemonstrate 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,10'' Inch Ferrite Woofer[9] were tested by different statistical approaches.J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker(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 inPure Black Perfume.

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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].D&B Style Dual 10 " Compact Line Array /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.New Tw Audio Vera36 Dual 10 " Line Array Speaker System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, required air pressure, and power were considered as predictor variables simultaneously.

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Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr$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.Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag, 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%)Hot Sale Vacuum Bag Nylon Material for Agricultural Products. 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.Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic. Moreover,Bio-Degradable Brown Kraft Food Packaging Bag, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Child Resistant Waterproof Plastic Bag with Zipper, 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 (10 " Dia Cast Aluminum Professional Subwoofer Basket), maintenance (Food Packaging Vacuum Pouch), 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,Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag), and annual cost index of mineral processing equipment.Fried Chicken Sweet Chili Sauce Food Packaging, 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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