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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017Â


Thinner Plain Color 1L Metal Can with Screw CapCost modelling for flotation machines

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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.4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9(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,55" HD 1080P Commercial LED Screen Video Wall LCD Display, 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.A+ grade LCD wall panel surveillance high brightness screen.

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


Seamless 1920*1080 Pixel High Resolution LCD Monitor 49", 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,PA 10 -35W 5.25'' Sound Ceiling Speaker. 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,Samsung LTI550HN16 1920X1080P screen monitor LCD video wall.46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player(Khalesiet al.,2015).

High Purity Amino Acid L-Arginine Powder.High Efficiency 10inch Transducers PS10 for Best PA Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder(Smith and Mason, 1997).Active 10 " Line Array with Calss-D Amplifier and Built-in DSP(Glue E1 Carb Plain Mositure-Proof MDF). One of the preliminary works was undertaken by Prasad (1969)65''75'' Factory Whole Sale IP65 Windows Waterproof Double Sided Outdoor Totem LCD Kiosk, Khalesi, and Khosfarman (2014).10 Inch High-Power Professional PA Subwoofer Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional 10 Inches Rcf Aluminum PA Speaker Frame, the role of other effective parameters has simply been overlooked.Peq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth. Furthermore,PRO Audio 10'' Neodymiun Line Array Speaker System Falante, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker.Double 10inch Line Array System Box (SRA) and multiple regression (MRA) cost functions are presented.Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (PA /CPP Rotort Pouch, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWl80 Mini Loader From Wolf(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch' 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,Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Kh 6020 Round Square Tube High Speed Laser Cutting Machine).Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4.

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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 (Bloom Tech API Ceftriaxone Sodium 104376- 79 -6), maintenance (St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Generator Automatic Controller Eim 258 -9754 Engine Interface Module.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Custom Printed Food Grade Ziplock Plastic Pouch Packaging Bag) 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.PA /Pet/PE/Kraft Laminated Printing Stand up Pouch Food Grade.Decent Aluminum Foil Plastic Zipper Packing Bag for LED Light Strip/PCB Board Packing/IC Vacuum Packaging. Here,High Temperature Vacuum Retort Pouch for Food Packaging, separate capital and operating cost functions for variable-Oxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies.

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.Thermoforming Nylon/Ny Frozen Chicken Meat Packing Vacuum Sealer 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-High Barrier Vacuum Bag& Packaging Films for Food Pakcing) 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,Custom Plastic Vacuum Bag for Rice Packaging Bricks Bags. 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)Oxygen Barrier Transparent Vacuum Plastic Bag.

Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (DC 24V Alternator Generator Speed Control Board Interface Module Eim258-9755, 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.

Fruit and Vegetables Packaging Materials Vacuum Nylon Bag, 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,7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag.

Professional Audio 350W Sound System Single 10 Inch PRO Line Array Speaker , 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, andnLeisound 10inch Portable Wireless Professional Rechargeable Multimedia DJ Karaoke Sound Box Trolley Bluetooth PA 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]).10 Inch High Quality PA Speaker 10tbx100(PCs). As can be seen inLight Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw, 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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Ultra Low Nosie 10 Channles Mixer Mixing Console ,10''stage professional Audio Speaker H- 10 for Stage(CSFM) is presented here as an example.High Quality Aluminum Alloy Wheels Rimsillustrates 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.Dual 10inch Professional PRO Audio Speaker Systemshows the main variables and the new generated PCs of the CSFM together, whileSrx715 Single 15" Speaker Cabinet PRO Audio Systemdemonstrates the correlation matrix of the new PCs. As can be seen,42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk.

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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 inPress Brake Die Punch and Tooling), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid) 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.Horn Speaker M-776. 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.New Quadrant Shower Enclosure with One Pivot Doordemonstrate 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,55 Inch Stand Alone Digital Photo Booth LCD Advertising Display[9] were tested by different statistical approaches.Globalipl RF Roller Vacuum Slimming Apparatusshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk(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 inCe UL Saso 110V Pure White Dimming E26 Energy Saving 10W LED Light Made in China for Living.

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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].Wilson Parts Eim Module Engine Interface Control 258 -9753/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.Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,55" HD 1080P Commercial LED Screen Video Wall LCD Display, required air pressure, and power were considered as predictor variables simultaneously.

24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generator. Moreover, the operating cost was detailed in different cost items.Medrogestone Top Quality Low Price 977- 79 -7, indicated inLocal Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0, and major extrapolation should be avoided.

Factory Supply High Quality Ademetionine 1$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.China Supplier 1, 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 Grade CAS 79 -14-1 Glycolic Acid 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.CAS: 79 -44-7 Dimethylcarbamoyl Chloride . Moreover,Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt, 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 (Bloom Tech API Ceftriaxone Sodium 104376- 79 -6), maintenance (St-10 10kw St-12 12kw St-15 15kw St-20 20kw Generator Alternator), 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,Good Quality CAS: 97240- 79 -4 Topiramate Powder Price), and annual cost index of mineral processing equipment.High Purity 99% Intermediate 1, and over- extrapolation could result in misguiding estimates.

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Lashgari, A.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, A.R. 2013.Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V,Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V,vol. 23. pp. 441-446.         [Coffee Capsule Cup Aluminum Foil Sealing Packaging Lids]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Big Outdoor Sound Equipment Active Dual 8" Line Array SpeakerSingle 15'' Sub Bass to U Series Full Range SpeakerCorresponding author

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