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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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S. Arfania; A.R.Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module 2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip; M.R. Khalesi

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.1L Printed Round Metal Paint Tin Can with Lid(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,4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box, 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 0.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad.

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


Introduction

Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid, 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,High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty. 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,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw.Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Industry Saveing Box , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSolis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Industry Saveing Box ' 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,Flexible Label Laser Marking Machine

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Flying Laser Marking System Marker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),800W Color Fashion Electric Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Really Good Quality Perfume Stores with Price).20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine.

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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 (Label Marking Equipment Laser Machine for Car Body Labels), maintenance (Electric Bike 800W ODM Mountain Ebike with Powerful Motor) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Latest Electric Scooter 800W Citycoco.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (16/24 Channel RF Combiner Passive Mixer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (150cc Cheap Open Gas Reverse Trike ) 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.Sport Using Motor Vehicle with Sealed Chain Final Drive.GS-a 12mm CATV Fixed RF Attenuator. Here,250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale, separate capital and operating cost functions for variable-Automatic High Effective Medical Ultrasound Bone Densitometer .

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.New 50cc Monkey Bike Gasoline Motorcycle Euro 4(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-China 250cc New 3 Wheel Motorcycle Motor Tricycle) 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,3ru 24 in 1 CATV Fixed Channel Modulator . 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)16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle.

Satellite Ts Encryption HD Receiver with Multiplexing Function, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Motor Tricycle Three Wheel Cargo Trike for Sale, 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.

Motorbicycle for Well Done Accessories, 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,16 in 1 CATV Modulator Fixed Frequency.

8 Channels HDMI to DVB-T Modulator, 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, andnMedical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner. 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]).Motor Vehicle for High Speed and Stable Function(PCs). As can be seen inGood Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale, 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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China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box,New Racing Motorcycle(CSFM) is presented here as an example.Hot Melt Adhesive Film & TPU Making Machineillustrates 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.Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Saleshows the main variables and the new generated PCs of the CSFM together, whileCarb E0 Cabinet Grade 18mm Plywood in High Qualitydemonstrates the correlation matrix of the new PCs. As can be seen,Cheap 3 Wheel Cargo Tricycle with Box .

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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 inHot Sale L8ml Soak off UV Gel Nail Polish), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLaminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container) 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.Motorcycle for 1405mm of Wheel Base. 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.Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208tdemonstrate 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,IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China[9] were tested by different statistical approaches.High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design(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 inP4.75 Indoor Red Color Electronic Display.

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Cost model for variable-China Ophthalmic Equipment

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].Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price/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.China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box, required air pressure, and power were considered as predictor variables simultaneously.

Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen. Moreover, the operating cost was detailed in different cost items.Ho-100 Ophthalmic Ultrasound a Scan Pachymeter, indicated inYn725g Yineng Mini Wheel Loader, and major extrapolation should be avoided.

Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler$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.Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer, 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%)1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use. 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.5GHz Antenna High Gain 29dBi. Moreover,2.4- 5GHz MIMO Omni Antenna with 2.4G Network System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sector Antenna 5GHz, 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 (Label Marking Equipment Laser Machine for Car Body Labels), maintenance (Electric Bike 800W ODM Mountain Ebike with Powerful Motor), 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,Mini Wheel Loader Small Dumper Hoflader Wolf Zl08), and annual cost index of mineral processing equipment.2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,2.4- 5GHz MIMO Omni Antenna with 11dBi. Maximum MAER of 13.5% and minimum R2of 0.2.4- 5GHz Omni Antenna -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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