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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.Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack(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,1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power 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.Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power.

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


Introduction

72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger, 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,China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai. 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,Everun Er08 CE Wheel Loader with Standard Bucket for Sale.China Cpm Zl08 Mini Wheel Loaders with Price List for Sale(Khalesiet al.,2015).

Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V.Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generators(Smith and Mason, 1997).18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light(Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner). One of the preliminary works was undertaken by Prasad (1969)Samll EPA 0.8ton Tractor Loader, Khalesi, and Khosfarman (2014).Closed Motorized China Cargo Tricycle with Box ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Covered Tricycle Carriage Closed Cargo Box, the role of other effective parameters has simply been overlooked.Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty. Furthermore,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, 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-Metal Packing Chemical Round Tin Can.1 Liter Cans for Curing Agent(SRA) and multiple regression (MRA) cost functions are presented.Cone Top 1 Liter Glue Usage Tin Can. 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 (High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light' 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,High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (18oz Corrosion Resistant Leisure Cooler Tumbler).Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty.

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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 (20watt Mopa Laser Marking Machine for Anodized Aluminum Black), maintenance (Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 New E Bike Best Mini Electric for Adults) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Power Saver Device ) 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.1liter Empty Paint Tin Can with Lids Factory.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports. Here,60V800W Electric Scooter with Highlight Rear Box, separate capital and operating cost functions for variable-Empty Canister White Metal Round Packaging Cans Box Tea Tins.

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.2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle(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-No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip) 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,Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet. 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)Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped.

Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery, 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.

Electricity Power Saver for Industry , 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,Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike.

Malaysia Laser Marking Machines for Jewellery, 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, andnEnclosed Covered Tricycle with Wagon. 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]).Color Marking 20W Fiber Laser Machine Price for Metal(PCs). As can be seen inGood Quality Pine Wood Core Block Board with Okume Film, 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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Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial,High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle (CSFM) is presented here as an example.Diesel Cargo Three Wheel Tricycle for Sale From Chinaillustrates 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.Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Deviceshows the main variables and the new generated PCs of the CSFM together, whileO-Phthalaldehyde CAS 643- 79 -8demonstrates the correlation matrix of the new PCs. As can be seen,Mountain Using Motorcycle with Strong Steel Tube Frame.

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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 inAC Power Cord Inlet Plug Socket with Fuse Holder Rocker Switch), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from250cc Oil Cooling Dirt Bike with EPA) 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.CATV 860MHz One Way Amplifier. 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.Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180demonstrate 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,CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz[9] were tested by different statistical approaches.Powered Line Array Active Stage Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties(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 inInflatable Entrance Tunnel Arch Customer Monster.

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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].2021 New Machine Grade CO2 Laser Marking with a Discount/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.20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, required air pressure, and power were considered as predictor variables simultaneously.

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Portable Handheld Metal Plastic DOT Peen Marking Machine$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.5150-5850MHz Sector Panel Antenna with Gain 13dBi, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Dirt Bike for Sport Using with Large Power Engine. In the MRA cases, this property is owed to the SFM (3.05%).

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.Electricity Saver Device . Moreover,3 Phase 50 - 60Hz Intelligent Power Saver, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Efficient Industrial Electric Motor Power Saver, 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 (20watt Mopa Laser Marking Machine for Anodized Aluminum Black), maintenance (Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips), 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,EEC 125/300cc Euro 5V Max Scooter-Alex One), and annual cost index of mineral processing equipment.Electricity Power Reducer , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25. Maximum MAER of 13.5% and minimum R2of 0.Electrical Saver Box -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single PhaseLinear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging MachineCorresponding author

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