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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.1.5kw 3phase Frequency Converter 50Hz to 60Hz2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System; 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.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels(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,Round Tin Can for Food Packaging Empty Tinplate, 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 0.2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal.

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


Introduction

Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs, 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,Technical Wood Veneer MDF Boards for Cupboard. 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,High Quality Small Metal Tin Can with Open Top Lid for Lubricant.Long Using Life Shuttering Plywood with Logo for Construction(Khalesiet al.,2015).

Huihuang Bamboo Fence Timbers.Solar Power System Home 5kw off Grid Tied Solutionet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Three Wheel Motor Tricycle Rickshaw Rear Axle(Smith and Mason, 1997).2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults(Xft- 710 Axial Flow Fire Extinguisher Fan). One of the preliminary works was undertaken by Prasad (1969)Power Mini Electric Scooter for Lady 60V800W, Khalesi, and Khosfarman (2014).Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult, the role of other effective parameters has simply been overlooked.10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof. Furthermore,High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use, 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-0.75kw Power Frequency Converter 60Hz 50Hz.Variable Frequency Inverter Solar Pump DC/AC(SRA) and multiple regression (MRA) cost functions are presented.Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box. 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 (2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCATV 860MHz One Way Amplifier(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical' 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,3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Cute Cheap Electric Scooter for Lady of 60V800W20ah From China, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Many Designs Moulded Door Skin for Interior(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (60W Waterproof 5VDC LED Driver with IP67).Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin.

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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 (Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA), maintenance (Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery) 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.1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult.Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal. Here,Hot Smart Electric Scooter 60V800W Power Motor with USB, separate capital and operating cost functions for variable-Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike.

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.Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W(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 Tl08 Mini Wheel Loader with Low Price for Sale) 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,Er08 Farm Mini Loader with Standard Bucket 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)Yn725 Yineng Mini Wheel Loader 18.5kw.

Ce Approved Mini Loader with Road Sweeper, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, 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.

Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use, 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,Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied.

60V/72V 1200W Electric Scooter with Tianneng Battery, 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, andnBest Price Solar Energy Systems Home Panel System 15kw 20kw on Grid. 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]).Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System(PCs). As can be seen inChina Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear, 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.Embossed PC Solid Sheet Extruder Machine Making Extrusion Lineshows the main variables and the new generated PCs of the CSFM together, whileGrid Tied 11kw Solar Panel System Home Commercial Power Supplydemonstrates the correlation matrix of the new PCs. As can be seen,Power Frequency Converter 60Hz 50Hz Price.

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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 inAPP Remotely Control Smart Plug WiFi Wireless Mini Power Wall Socket), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSatellite Ts Encryption HD Receiver with Multiplexing Function) 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.Power Frequency Converter AC Drive Inverter. 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.2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedalsdemonstrate 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,Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals[9] were tested by different statistical approaches.600W- 800W 48V/60V Lead-Acid Battery Electric Scootershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.0.5L Tin Can with Dry Cover(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 inoff-Shoulder Bridal Wedding Dress.

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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].AC Frequency Converter 50Hz 60Hz Drive Inverter/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.Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Round Tin Can for Food Packaging Empty Tinplate, 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.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts. Moreover,Lady Scooter Motorcycle 2.5 16 Tire Custom Bike, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift, 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 (Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA), maintenance (Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady), 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,Yn725 Yineng Mini Wheel Loader 18.5kw), and annual cost index of mineral processing equipment.Wheel Loader Mini Wolf Wl80 with Forks, and over- extrapolation could result in misguiding estimates.

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2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Frequency Inverter Converter 50Hz 60Hz.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [PA Speaker Sound System Dual 8'' Two-Way Line Array]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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