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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.China Portable Medical Ophthalmic a/B Ultrasound Scanner Pachymeter with B Probe for Eyes(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,6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System, 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.Ce Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer .

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


Introduction

5GHz 10dBi Wideband Omni WLAN Antenna, 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,Jy125t-36c 125cc Scooter with Cdi and Efi. 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,5GHz 18dBi Dual Polarized Panel Antenna .2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Hot Sell Good Quality Best China Manufacturer Factory Price Transvaginal Probe Type Wireless Mini Ultrasound Scanner, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 New China Adult Tricycle Motor Cargo for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Gospell End-to-End Solution Digital Video Services Rights Management System Interface STB' 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,Diesel Central Drive Three Wheel Dumper for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Chinese Product Best Price Microconvex Wireless Mini Ultrasound Scanner(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Metal Butterfly Brooch with Polyester Stones on It).Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital.

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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 (Apr125 White Motorcycle), maintenance (Apr125 Red Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Apr125-2 White Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Underwater Swimming Pool Light Decoration LED Lamp) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scanner) 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.Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake.350cc Motorcycle with Double-Cylinder & Water-Cooled Engine . Here,Popular Medical Device Automatic Bone Densitometer, separate capital and operating cost functions for variable-Diesel Cargo Three Wheel Tricycle for Sale From China.

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.Diesel Dump Central Steering Drive Three Wheeler From China for Sale(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-Chinese Diesel Three Wheel Tricycle with Sunshade) 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,One and Half Rows Three Wheeler for Sale. 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)Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc.

Adult 800W Power Electric Scooter Suit for Woman, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (800W Electric Motorbike with Front Disc Brake, 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 60V 800W /72V 1200W New Electric Scooter/E-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,dB002e Hot Sell Electric Motorcycle 800W and Kids 500W with Ce for.

350W/500W/ 800W /1000W/1200W Motor Electric Scooter EW-519 Classis Model, 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 60V20ah Lead-Acid Battery Electric Scooter Motorcycle. 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]).New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power(PCs). As can be seen in24watt New RGB Cool White Warm LED Underwater Swimming Pool Light, 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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5GHz Dish Parabolic Antenna 29dBi,2.4/ 5GHz Dual Band H-Pol Sector Antenna(CSFM) is presented here as an example.Mini Size Water Differential Pressure Sensor for HVACillustrates 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.hot selling small avant articulated tractor wheel loader for garden landscapingshows the main variables and the new generated PCs of the CSFM together, whileCheap Popular Pattern 3.00-18 Motorcycle Tyredemonstrates the correlation matrix of the new PCs. As can be seen,Electric Dirt Bike Zm-Es18 with 500W- 800W Motor.

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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 inChina Small Dozer Factory Shantui Newpower Bulldozer ND16s), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDSP Active Line Array Speaker) 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 45deg Dual Pol Sector 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.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,5GHz 23dBi Enclosure WiFi Antenna[9] were tested by different statistical approaches.Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz Dual Pol Sector Antenna with Enclosure (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 inSoft Stuffed Red Standing Dog Animal Toy.

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Cost model for variable-5GHz 34dBi Dish WLAN Antenna

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].5GHz 18dBi Dual Polarization Sector WiFi Antenna/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.18W RGB Resin Filled LED Surface Mounted Underwater Pool Light; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,6000W 200V-240V AC Single Phase on Gird/ Grid- Tied Solar Power Energy System, 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.Quality 18mm Carb Birch Okoumen Plywood. Moreover,Mini Wheel Loader Er08 with Hydrostatic Transmission System for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (30kw Grid Tied Solar Power System Home Popular in Philippines, 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 (Apr125 White Motorcycle), maintenance (Apr125 Red Motorcycle), 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,New Condition Large Capacity Mini Truck Dumper), and annual cost index of mineral processing equipment.IP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warranty, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

2D Echo Color Doppler Ultrasound Scanner5GHz 18dBi Dual Polarization Panel WLAN AntennaCorresponding author

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