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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.3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate(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,Flying Online Fiber Laser Marking Machine with Conveyor Belt, 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 0.3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate.

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


Introduction

Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty, 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,Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa. 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,Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi.381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer(Khalesiet al.,2015).

IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer.CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Deviceset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Food Additive Granular Dihydrate Disodium Phosphate(Smith and Mason, 1997).100W Full Enclosed Fiber Laser Marking Machine with Safe Cover(Screw Top Metal Tin Can). One of the preliminary works was undertaken by Prasad (1969)20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser, Khalesi, and Khosfarman (2014).for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,600W- 800W 48V/60V Lead-Acid Battery Electric Scooter, the role of other effective parameters has simply been overlooked.Best Selling Electric Scooter Mini 800W . Furthermore,150cc Automatic Racing Sports Exclusive Design ATV , 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-High Quality Cheap 200cc and 150cc Farm Utility ATV.1GHz Outdoor Bi-Directional CATV Amplifier(SRA) and multiple regression (MRA) cost functions are presented.New Mini Willys Jeep Available on 110cc. 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 (Hot Sell 800W Delivery City Electric Scooter for Take-out Business, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHPM410W Submerged Integrated Level Sensor Transmitter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric' 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,Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Bi-Directional Transmission Distribution Amplifier SA822, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Encryption Ts Satellite IRD(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cartoon Characters).Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods.

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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 (Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike), maintenance (2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Closed Canvas Box 2 Ton Cargo Tricycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sanyou 125cc Efi System with Delivery Box Gas Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle) 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.28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale.250cc Oil Cooling Dirt Bike with EPA. Here,Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter, separate capital and operating cost functions for variable-250cc Gasoline off Road Motorbike.

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.0.6m 5GHz Parabolic Antenna with Gain 28dBi(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-Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart) 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,150cc 200cc 250cc ATV Quad Bike for Adults. 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)4 Stroke Buggy 150cc ATV.

High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (The Newest 110cc 125cc 150cc Toyota Mini Buggy , 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.

High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS, 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,High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty.

0.4m 5GHz Parabolic Antenna with Gain 23dBi, 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, andnMars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price. 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]).5 Wheels Gasoline Cargo Tricycle with Front Cabin(PCs). As can be seen inGlycyl- L-Tyrosine; 658- 79 -7, 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.Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywoodshows the main variables and the new generated PCs of the CSFM together, whileCarb Bleach White Poplar Plywood LVL 12mm 18mmdemonstrates the correlation matrix of the new PCs. As can be seen,150cc ATV for Adults Lmatv-150hm.

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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 inHeavy Duty Veneer Peeler), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3) 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.High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip. 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.Aluminum Speaker Box for 3" Column demonstrate 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,L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25[9] were tested by different statistical approaches.HDPE Water/Gas Supply Pipe Extrusion Lineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.150cc Quad 4WD ATV for Adults(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 inAlibaba Express.

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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].IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip/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.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Flying Online Fiber Laser Marking Machine with Conveyor Belt, required air pressure, and power were considered as predictor variables simultaneously.

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2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip$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.Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P, 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%)2 Ton Loader 3 Wheel Cargo Tricycle. 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.Grid Tied Inverter 3kw. Moreover,5kw Solar PV Kit Power Gird Tied Inverter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Mining Tyre, 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 (Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike), maintenance (2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad), 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,Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power), and annual cost index of mineral processing equipment.150cc Front Cabin Cargo Tricycle, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,OTR G2 Grader Tubeless Tyre 17.5-25. Maximum MAER of 13.5% and minimum R2of 0.1L Metal Screw Top Round Machine Oil Tank-feasibility and even feasibility study level of projects.

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The Newest 110cc 125cc 150cc Toyota Mini Buggy , Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Rubber Track System for Jeep/SUV Less Than 3000kgs]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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