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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

PE Waterproof Roll Extrusion MachineCost modelling for flotation machines

S. Arfania; A.R.Market Hot Two Wheel 800W 72V 32ah Electric Scooter/Motorcycle From ChinaFrame Quadrant Glass Curved Shower Cubicle for Sale Price; 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.Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale(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,Police Motorcycle 250cc, 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 0.125cc Scooter EEC Popular Motor Alex.

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


Introduction

250cc Three Wheel Cargo Motor Tricycle , 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,Motorbicycle with Stable Wheels. 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,2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap.Scooter with Stable Function and Nice Outside Looking(Khalesiet al.,2015).

Motorcyle for Both Oil and Water Cooling.150cc China Gas Motor Cargo Trike for Sale et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Selling Tires Motorcycle Tyres 110/90- 17(Smith and Mason, 1997).Sw-1000p Ophthalmic Pachymeter(Pigment Violet 1 or Fast Rose Toner/Fast Lake). One of the preliminary works was undertaken by Prasad (1969)Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 , Khalesi, and Khosfarman (2014).24 Modules Fixed Head End CATV Modulator; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,860MHz Two Way Amplifier , the role of other effective parameters has simply been overlooked.5GHz Parabolic Grid Antenna 24dBi. Furthermore,5GHz 30dBi Mimo Dish Antennas, 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-China Factory Supplier Ophthalmic Equipment Ab Scan.Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna(SRA) and multiple regression (MRA) cost functions are presented.24 Channels Fixed 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 (5150-5850MHz Sector Panel Antenna 2*17dBi, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10inch Professional Karaoke Speaker for Luxury Room(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar' names:

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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 Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1000W Continuous Hand Held Laser Welding Machine for Steel).Ophthalmic Equipment Biometer Scan a.

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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 (0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer), maintenance (860MHz CATV One Way Amplifiers) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CATV Mini Line Extending 2-Way Amplifer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (20MHz Probe Ophthalmology Ultrasound MD-2300S) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (860MHz Two Way Amplifier ) 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.Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle.Ophthalmic a Scan Portable Handheld Biometer. Here,Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life, separate capital and operating cost functions for variable-Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System.

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.500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV(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-10kw Cheap Solar Panels Complete Grid Tied System) 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,High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle. 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)Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack.

1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power, 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.

72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger, 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,China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai.

Everun Er08 CE Wheel Loader with Standard Bucket for Sale, 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, andnChina Cpm Zl08 Mini Wheel Loaders with Price List for Sale. 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]).Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V(PCs). As can be seen inHigh Quality Laminated Food Grade Roll 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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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.Yn725 Yineng Mini Wheel Loader 18.5kwshows the main variables and the new generated PCs of the CSFM together, whileDC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energydemonstrates the correlation matrix of the new PCs. As can be seen,Closed Motorized China Cargo Tricycle with Box .

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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 inHigh Performance Plastic Ceiling Surface LED Downlight for Home Lighting), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPrinted Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag) 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.Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty. 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.Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicledemonstrate 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,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[9] were tested by different statistical approaches.Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Bladeshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Metal Packing Chemical Round Tin Can(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 inMost Selling Products PE Rose Panda Dog Party Decoration Christmas.

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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].Cone Top 1 Liter Glue Usage Tin Can/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.High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Police Motorcycle 250cc, required air pressure, and power were considered as predictor variables simultaneously.

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50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover$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 0.200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, 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%)Tricycle with Wagon 3 Wheel Motorcycle Box. 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 Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips. Moreover,Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale, 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 (0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer), maintenance (860MHz CATV One Way Amplifiers), 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,Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty), and annual cost index of mineral processing equipment.20watt Mopa Laser Marking Machine for Anodized Aluminum Black, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips. Maximum MAER of 13.5% and minimum R2of 0.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty-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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