High Purity Organic Intermediate  1

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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.2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel(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 Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin, 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.Chinese Eougem Zl08 Wheel Loader with Torque Converter.

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


Introduction

Articulated Mini Wheel Loader Er08 Telescopic Boom, 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,Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver. 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,Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching.New Design Go Kart 150cc (Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Commercial Solar System 100kw Grid Tied /on 100kVA 60kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration' 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,3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Carb P2 Plywood/EPA Plywood /Okoume(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Pendulum Impact Testing Machine).Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China.

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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 (Variable Speed Drive Phree Phase Frequency Converter 1000Hz), maintenance (Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Carb P2 Okoume Plywood for Furniture) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (15mm AAA Grade Film Faced Plywood with WBP Glue) 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.China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality.Hot Sale 250ml Small Can of DOT3 Brake Oil Tinplate Packaging. Here,150CC Go Kart , separate capital and operating cost functions for variable-Full Size 150cc Go Kart .

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.Go Kart (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-Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid) 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,Wolf Wl80 Mini Dumper Euro 5 Loader 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)0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader.

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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.

External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna, 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 Go Kart with EEC .

High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty, 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, andnGrid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile. 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 Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme(PCs). As can be seen inInsecticide Deltamethrin powder 5% WP 2.5% EC, 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.Color Custom in-Line Diesel Engine for Generator Setsshows the main variables and the new generated PCs of the CSFM together, whileModern Style Leather Sofa Top Grain F226demonstrates the correlation matrix of the new PCs. As can be seen,Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top.

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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 inATEX Explosion-proof Barometric Piezoresistive Hydraulic 4-20mADC 1- 5VDC Pressure Transmitter MPM489), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Active Powered Line Array Speaker Mini 5 Inch Audio) 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 0.15kw Grid Tied Solar Power System for Home Use. 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.Fast Delivery Plastic Empty Spray Bottle Lotion Pump for Hand Sanitizer 30ml- 1Ldemonstrate 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,Grid Tied 100kw 200kw 300kw Solar System[9] were tested by different statistical approaches.5GHz 18dBi Dual Polarized Panel Antenna shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels(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 inYishan 320HP hydraulic track type crawler dozer TY320C with single ripper.

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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].Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W/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.Adv. 1 Alloy Wheel ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin, required air pressure, and power were considered as predictor variables simultaneously.

150cc 4-Stroke. Moreover, the operating cost was detailed in different cost items.Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, indicated inCustom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use, and major extrapolation should be avoided.

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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.5.8GHz 30dBi Single-Pol Die Cast Grid Antenna. Moreover,Mimo Antenna 5150MHz~5850MHz WiFi Panel, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5GHz 20dBi Panel WiFi Antenna, 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 (Variable Speed Drive Phree Phase Frequency Converter 1000Hz), maintenance (Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory), 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,Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China), and annual cost index of mineral processing equipment.Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna, and over- extrapolation could result in misguiding estimates.

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References

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Prasad, L. 1969.Carb Approved Birch Plywood.Carb E0 Cabinet Grade 18mm Plywood in High Quality, Metallurgy and Petroleum, Montreal. pp. 3-15.         [99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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