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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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On-line version ISSN2411-9717
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4Cost modelling for flotation machines

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty(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,24V 40ah Lithium Iron Battery for Electric Bike, 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.Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector.

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


Introduction

Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System, 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,Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector. 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,Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty.2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (China Famous Brand Hr912 Shovel Loader for Agriculture Working, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPortable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System' 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,CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (6m Length 100*38 100*40 100*42 Ms Mild Alloy A1011 Square Steel Rectangular Pipe).Made in China Strong Compact Mini Front Loader .

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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 (2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals), maintenance (Manufacture 20W Fiber Laser Marking Machine for Engraving) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3kw Air-Cooled UHF Digital TV Transmitter DTV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wholesale High Performance Metal Mc4 Connector) 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.No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip.1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car. Here,2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, separate capital and operating cost functions for variable-IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector.

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.Portable Fiber Laser Marking Machine for Vin Code/Number(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-1L Empty Round Edilbe Cooking Oil Metal Tin) 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,2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K. 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)Max Source Fiber Machine Laser Marking for Vin Number.

1L Custom Round Small Metal Empty Tin Cans with Lids, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, 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.

500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo , 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,1L Microstome Metal Drum Customization Printing Logo.

1L Metal Tin Cans with Lid for Paint or Chemical, 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, andnFree Sample 5GHz Antenna Rubber Gain. 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]).Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module (PCs). As can be seen inHigh Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price, 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.One and Half Rows Three Wheeler for Saleshows the main variables and the new generated PCs of the CSFM together, while1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Containerdemonstrates the correlation matrix of the new PCs. As can be seen,Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid.

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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 inTop Quality Waterproof Wood Patterns Vinyl Plank Flooring PVC), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa) 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.E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw. 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.Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2demonstrate 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,Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner[9] were tested by different statistical approaches.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800Wshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Erbium-Doped Fiber Amplifier Optical Power Adjustable (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 inSanitary Ware 1785mm/70.27" Rectangle Acrylic Freestanding Tub.

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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].Sab-500 Ophthalmic a/B Scanner/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,24V 40ah Lithium Iron Battery for Electric Bike, required air pressure, and power were considered as predictor variables simultaneously.

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150cc Enclosed Gasoline Motorized Cargo Trike with Box $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.Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner, 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%)Power Saver Box Energy. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

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.Power Saver Energy Saving Device. Moreover,Power Saver for Industrial , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Industry Saveing Box , 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 (2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals), maintenance (Manufacture 20W Fiber Laser Marking Machine for Engraving), 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,Industry Saveing Box ), and annual cost index of mineral processing equipment.Motorcyle with Bore * Stroke 66*58.2 mm, 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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