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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.24 Channels Fixed Modulator(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,5150-5850MHz Sector Panel Antenna 2*17dBi, 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 0.12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar.

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


Introduction

Replica Aluminum Alloy Wheels for Skoda, 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,Best Price Sab-500 Ophtalmic Ab Scan. 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,Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25.Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNon Standard Eco Friendly Rubber Seal O-Ring(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System' 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),72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (DIN6334  Coupling  Nut).China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai.

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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 (Everun Er08 CE Wheel Loader with Standard Bucket for Sale), maintenance (China Cpm Zl08 Mini Wheel Loaders with Price List for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light) 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.Samll EPA 0.8ton Tractor Loader.Closed Motorized China Cargo Tricycle with Box . Here,Covered Tricycle Carriage Closed Cargo Box, separate capital and operating cost functions for variable-Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty.

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.0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel(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-Metal Packing Chemical Round Tin Can) 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,1 Liter Cans for Curing Agent. 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)Cone Top 1 Liter Glue Usage Tin Can.

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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.

PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty, 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,50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover.

200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, 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, andnTricycle with Wagon 3 Wheel Motorcycle Box. 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]).High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips(PCs). As can be seen inPolyamide Resin, 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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Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale,Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty(CSFM) is presented here as an example.Long Using Life Shuttering Plywood with Logo for Constructionillustrates 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.180W Professional Speaker Coaxial Single 8" Two-Way Surround PC820shows the main variables and the new generated PCs of the CSFM together, while860MHz Two Way Amplifier demonstrates the correlation matrix of the new PCs. As can be seen,20watt Mopa Laser Marking Machine for Anodized Aluminum Black.

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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 inReslut Electronic System), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDouble 10inch Line Array System Box ) 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.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty. 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.Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HDdemonstrate 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,2021 New E Bike Best Mini Electric for Adults[9] were tested by different statistical approaches.Hot-Sale Sporty Electric Motorcycle Mn5shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Power Saver Device (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 inMost Popular Acrylic Bath Tub with Faucet.

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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].No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports/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.60V800W Electric Scooter with Highlight Rear Box; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5150-5850MHz Sector Panel Antenna 2*17dBi, 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.Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery. Moreover,20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electricity Power Saver for Industry , 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 (Everun Er08 CE Wheel Loader with Standard Bucket for Sale), maintenance (China Cpm Zl08 Mini Wheel Loaders with Price List for Sale), 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,Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike), and annual cost index of mineral processing equipment.Malaysia Laser Marking Machines for Jewellery, 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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