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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.IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector(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,Portable Fiber Laser Marking Machine for Vin Code/Number, 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 0.1L Empty Round Edilbe Cooking Oil Metal Tin.

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


Introduction

2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K, 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,Max Source Fiber Machine Laser Marking for Vin Number. 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,1L Custom Round Small Metal Empty Tin Cans with Lids.2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Erbium-Doped Fiber Amplifier Optical Power Adjustable ' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,150cc Enclosed Gasoline Motorized Cargo Trike with Box , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Car Tool Wheel Alignment Wholesale).Power Saver Box Energy.

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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 (Power Saver Energy Saving Device), maintenance (Power Saver for Industrial ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Industry Saveing Box .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Industry Saveing Box ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Motorcyle with Bore * Stroke 66*58.2 mm) 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.Electricity Saving Device 600amp .250cc Motor Cabin Tricycle Cargo with Canopy. Here,Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price, separate capital and operating cost functions for variable-Flexible Label Laser Marking Machine.

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.Flying Laser Marking System Marker(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-800W Color Fashion Electric Motorcycle) 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,20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine. 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)Label Marking Equipment Laser Machine for Car Body Labels.

Electric Bike 800W ODM Mountain Ebike with Powerful Motor, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Latest Electric Scooter 800W Citycoco, 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.

16/24 Channel RF Combiner Passive Mixer, 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,150cc Cheap Open Gas Reverse Trike .

Sport Using Motor Vehicle with Sealed Chain Final Drive, 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, andnGS-a 12mm CATV Fixed RF Attenuator. 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]).250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale(PCs). As can be seen in2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles, 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.Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Priceshows the main variables and the new generated PCs of the CSFM together, whileSolis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverterdemonstrates the correlation matrix of the new PCs. As can be seen,3ru 24 in 1 CATV Fixed Channel Modulator .

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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 inTiger Zodiac Ice Sticker), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromKaraoke Voice Reduction Professional Audio Converter Proaudio ) 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.Satellite Ts Encryption HD Receiver with Multiplexing Function. 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.Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Saledemonstrate 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,Motor Tricycle Three Wheel Cargo Trike for Sale[9] were tested by different statistical approaches.Carb E0 Cabinet Grade 18mm Plywood in High Qualityshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Motorbicycle for Well Done Accessories(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 inKing Quenson Herbicide Clodinafop-Propargyl 95% Tc.

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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].8 Channels HDMI to DVB-T Modulator/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.Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Portable Fiber Laser Marking Machine for Vin Code/Number, required air pressure, and power were considered as predictor variables simultaneously.

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China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling 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.New Racing Motorcycle, 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%)Cheap 3 Wheel Cargo Tricycle with Box . 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.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital. Moreover,Motorcycle for 1405mm of Wheel Base, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China, 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 (Power Saver Energy Saving Device), maintenance (Power Saver for Industrial ), 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,5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design), and annual cost index of mineral processing equipment.China Ophthalmic Equipment, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi.2.4- 5GHz MIMO Omni Antenna with 11dBi.2.4- 5GHz Omni Antenna , Montreal. 265 pp.         [HF-LPD100 2.4/5G Dual Band SMT Package IOT Module WiFi]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aNeodymium 12inch 932lap Professional Powered DSP Line Array Speaker