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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

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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.AL908 800kg Rated Load Wheel Loader with CE Approved for Sale(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,China Jiaxing Jarol Frequency Inverter 0.75kw/220V New, 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.Portable Laptop Digital Automatic Ultrasound Bone Densitometer.

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


Introduction

Haiqin Brand 0.8ton Mini Loader , 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,Jarol Solar Inverter 5.5kw 3 Phase. 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,Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certification.Textile Crane Centrifugal 380V Variable Frequency Drive VFD(Khalesiet al.,2015).

2021 Hot Sale Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports.AL908 Wood Gripper Wheel Loader with Euro III Engine for Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Famous Brand Hr912 Shovel Loader for Agriculture Working(Smith and Mason, 1997).Inverter Cabinet VFD Frequency AC Drives 15kw Motor(New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220). One of the preliminary works was undertaken by Prasad (1969)2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with Edison Chip, Khalesi, and Khosfarman (2014).12V RGB Resin Filled Underwater Pool Lights with 2 Years Warranty; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,loader with excavator grapple wheel mini for sale good quality, the role of other effective parameters has simply been overlooked.24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah. Furthermore,2ND Generation Ultrasound Bone Densitometer, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series.Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System(SRA) and multiple regression (MRA) cost functions are presented.High Effective Automatic Ultrasound Bone Densitometer. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2D Echo Color Doppler Ultrasound Scanner(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer' 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,5L Metal Round Cans for Paint or Chemical Packaging

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 Motorcycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5L Vegetable Cooking Oil Custom Tinplate Square Can(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Supplier Cheap Wholesale Alloy Butterfly Magnetic Artificial Brooch).Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter.

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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 (Wholesale Plastic Square 1 Liter Fertilizer Bottle), maintenance (Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,50cc Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Zhenhua Classic Motorcycle Dax 125cc Euro4) 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.Super Cooling Smart Electric Scooter 500W 800W Motorcycle.Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps. Here,Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw, separate capital and operating cost functions for variable-5GHz Dual Pol Sector Antenna with Enclosure.

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.5GHz 18dBi Dual Polarized Enclosure Antenna (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-2.4/ 5GHz 10dBi Rubber WiFi Antenna) 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,Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion. 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)5GHz 18dBi Sector WiFi Antenna.

125cc Retro Scooter Motorcycle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios, 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.

Hot Selling 800W Brushless Motor Electric Scooter Motorcycle, 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,Lady's E-Scooter 800W Hot Sale Made in China.

High Quality Electric Motorbike with 800W Motor, 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, andn800W 72V China Electric Tricycle for Handicapped. 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]).Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals(PCs). As can be seen inLG 46" 49" 55" DVI LED video panel for monitoring, 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.2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reportsshows the main variables and the new generated PCs of the CSFM together, whileCosmetic Raw Material CAS 20449- 79 -0 Extract Powder Bee Venom Melittindemonstrates the correlation matrix of the new PCs. As can be seen,No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports.

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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 inFashionable Anti-Vandal Touch Keypad MIFARE Standalone Access Controller), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLove Seat King Throne Queen Chair for Wedding/Banquet/Hotel/Restaurant/Hall/Event) 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 0.5GHz 23dBi Dual Polarized Panel Antenna . 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.Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot 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,5GHz 27dBi Enclosure WiFi Antenna[9] were tested by different statistical approaches.Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.TUV Certificate Gried Tied on Grid 20kw Solar PV System(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 Hose Fitting Crimper Used Hydraulic Crimping Machine.

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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].20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V/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.3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power Converter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Jiaxing Jarol Frequency Inverter 0.75kw/220V New, required air pressure, and power were considered as predictor variables simultaneously.

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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.14"X5.0"J 14'x5.5'j 14X6.0j 14X7.0j Inch Steel Wheel for Sport Trailer. Moreover,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End Loader, 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 (Wholesale Plastic Square 1 Liter Fertilizer Bottle), maintenance (Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium), 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,Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad), and annual cost index of mineral processing equipment.Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Ce Approved Medical Portable Bone Densitometer Ultrasound Machine . Maximum MAER of 13.5% and minimum R2of 0.Vitreous Hemorrhage -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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