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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
Print version ISSN2225-6253

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

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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.C Band Satellite TV Antenna 150cm(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,Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China, 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 ODM/OEM Design High Efficient Mc4 Connector 3 in 1.

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


Introduction

Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter, 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,Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female. 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,4000W/5000W off Grid Tied Solar Power System.Internet TV Box Linux IPTV Zgemma I55(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Solis 10kw Grid Tied Inverter Solis-10K-4G-LV Three Phases, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChrome Quadrant Shower Enclosure with Plastic Double Roller(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Pattern Design 17.5-25 20.5-25 26.5-25 off Road Tyre' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Famous Brand Hr912 Shovel Loader for Agriculture Working(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Organic IQF Green Onion Frozen Vegetable ISO/HACCP/Brc/Kosher/Halal).Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System.

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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 (25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader), maintenance (Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Factory Lithium 150ah Battery with BMS AC Output.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Intelligent Power Saver for Industry Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm) 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.Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty. Here,Made in China Strong Compact Mini Front Loader , separate capital and operating cost functions for variable-2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals.

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.Manufacture 20W Fiber Laser Marking Machine for Engraving(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-3kw Air-Cooled UHF Digital TV Transmitter DTV) 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,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports. 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)Wholesale High Performance Metal Mc4 Connector.

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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.

2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, 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,IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector.

Portable Fiber Laser Marking Machine for Vin Code/Number, 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, andn1L Empty Round Edilbe Cooking Oil Metal Tin. 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]).2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K(PCs). As can be seen in[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h, 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.Professional Speaker Compective PRO Audio shows the main variables and the new generated PCs of the CSFM together, whileHigh Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Pricedemonstrates the correlation matrix of the new PCs. As can be seen,500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo .

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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 inAir Freight From China to Dublin/Brussels/or Other International Ports), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromOne and Half Rows Three Wheeler for Sale) 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 0.1L Metal Tin Cans with Lid for Paint or Chemical. 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.Retro Electric Motorcycle Scooter demonstrate 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,Free Sample 5GHz Antenna Rubber Gain[9] were tested by different statistical approaches.120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Micsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module (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 inQty8-15 Concrete Block Paver Machinery.

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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].4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box/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.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China, required air pressure, and power were considered as predictor variables simultaneously.

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E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw$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.Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B 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%)Erbium-Doped Fiber Amplifier Optical Power Adjustable . 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.Dirt Bike for 199 Cc Displacement. Moreover,Sab-500 Ophthalmic a/B Scanner, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines ([Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h, 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 (25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader), maintenance (Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter), 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,200cc Reverse Wholesale Motor Light Three Wheel Motorcycle ), and annual cost index of mineral processing equipment.Industrial Energy Saving Device Made in China, 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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