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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.City Scooter 800W Long Range ElectricWater Cooling Diesel Engine with 6-Cylinder for Power Generator; 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.800W Electric Scooter Motorcycle Bicycle with Folding Rack(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,Wholesale Adult Tricycle Price Adults Tuk Motorcycle in India, 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.Sporty 500W/ 800W /1000W.

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


Introduction

5GHz 10dBi Outdoor WiFi Omni Antenna , 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,Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner. 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,Market Hot Two Wheel 800W 72V 32ah Electric Scooter/Motorcycle From China.Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale(Khalesiet al.,2015).

Police Motorcycle 250cc.125cc Scooter EEC Popular Motor Alexet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for CPP High Temperature Vacuum Retort Pouch(Smith and Mason, 1997).250cc Three Wheel Cargo Motor Tricycle (PRO Audio Powered Line Array Tw- 10 Outdoor Speaker). One of the preliminary works was undertaken by Prasad (1969)Motorbicycle with Stable Wheels, Khalesi, and Khosfarman (2014).2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Scooter with Stable Function and Nice Outside Looking, the role of other effective parameters has simply been overlooked.Motorcyle for Both Oil and Water Cooling. Furthermore,150cc China Gas Motor Cargo Trike for Sale , 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-Sw-1000p Ophthalmic Pachymeter.Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 (SRA) and multiple regression (MRA) cost functions are presented.24 Modules Fixed Head End CATV Modulator. 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 (860MHz Two Way Amplifier , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPE Waterproof Roll Extrusion Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5GHz Parabolic Grid Antenna 24dBi' 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,5150-5850MHz Sector Panel Antenna 2*17dBi

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Replica Aluminum Alloy Wheels for Skoda(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (6090 CNC Router).Best Price Sab-500 Ophtalmic Ab Scan.

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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 (Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25), maintenance (Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,80kw Grid Tied Solar System for Commercial or Industrial Use.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type) 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.Ophthalmic Equipment Biometer Scan a.0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer. Here,860MHz CATV One Way Amplifiers, separate capital and operating cost functions for variable-CATV Mini Line Extending 2-Way Amplifer.

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.20MHz Probe Ophthalmology Ultrasound MD-2300S(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-860MHz Two Way Amplifier ) 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,Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle. 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)Ophthalmic a Scan Portable Handheld Biometer.

Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System, 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.

500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV, 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,10kw Cheap Solar Panels Complete Grid Tied System.

High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle, 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, andnHome Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack. 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]).1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(PCs). As can be seen inPigment Violet 1 or Fast Rose Toner/Fast Lake, 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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72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger,China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai(CSFM) is presented here as an example.3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Batteryillustrates 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.High Quality Laminated Food Grade Roll Filmshows the main variables and the new generated PCs of the CSFM together, whilePain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8demonstrates the correlation matrix of the new PCs. As can be seen,Everun Er08 CE Wheel Loader with Standard Bucket for Sale.

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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 inWall Hung Small Size Stainless Steel Bathroom Vanity for Apartment), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy) 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.Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V. 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.Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Seriesdemonstrate 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,Loader[9] were tested by different statistical approaches.Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light(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 inZeta Passenger Car Tires.

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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].Closed Motorized China Cargo Tricycle with Box /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.Covered Tricycle Carriage Closed Cargo Box; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Wholesale Adult Tricycle Price Adults Tuk Motorcycle in India, required air pressure, and power were considered as predictor variables simultaneously.

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Metal Packing Chemical Round Tin Can$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 0.1 Liter Cans for Curing Agent, 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%)Cone Top 1 Liter Glue Usage Tin Can. 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.High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket. Moreover,Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty, 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 (Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25), maintenance (Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650), 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,50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover), and annual cost index of mineral processing equipment.200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Tricycle with Wagon 3 Wheel Motorcycle Box. Maximum MAER of 13.5% and minimum R2of 0.High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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