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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

Professional Audio PA Subwoofer Component SpeakersCost modelling for flotation machines

S. Arfania; A.R.Best Selling Electric Scooter Mini 800W Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywood; 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.150cc Automatic Racing Sports Exclusive Design ATV (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,High Quality Cheap 200cc and 150cc Farm Utility ATV, 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 0.1GHz Outdoor Bi-Directional CATV Amplifier.

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


Introduction

New Mini Willys Jeep Available on 110cc, 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,Hot Sell 800W Delivery City Electric Scooter for Take-out Business. 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 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric.My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe(Khalesiet al.,2015).

3kw Liquid Cooling UHF Digital TV Transmitter DTV.He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8(Smith and Mason, 1997).IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner(Carb Bleach White Poplar Plywood LVL 12mm 18mm). One of the preliminary works was undertaken by Prasad (1969)Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module , Khalesi, and Khosfarman (2014).Bi-Directional Transmission Distribution Amplifier SA822; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Encryption Ts Satellite IRD, the role of other effective parameters has simply been overlooked.Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods. Furthermore,Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike, 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-2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad.Closed Canvas Box 2 Ton Cargo Tricycle(SRA) and multiple regression (MRA) cost functions are presented.Sanyou 125cc Efi System with Delivery Box Gas Scooter. 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 (New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBest Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale' 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,Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,150cc 200cc 250cc ATV Quad Bike for Adults, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),4 Stroke Buggy 150cc ATV(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (SGS Prefabricated Certificate Steel Frame Structure Multi-storey Building).High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS.

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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 (The Newest 110cc 125cc 150cc Toyota Mini Buggy ), maintenance (High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (0.4m 5GHz Parabolic Antenna with Gain 23dBi) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price) 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.5 Wheels Gasoline Cargo Tricycle with Front Cabin.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light. Here,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on, separate capital and operating cost functions for variable-New Mini Willys Jeep Available on 110cc.

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.150cc ATV for Adults Lmatv-150hm(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-12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty) 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 Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip. 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)L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25.

150cc Quad 4WD ATV for Adults, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty, 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.

IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip, 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,2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty.

5kw Grid Tied Solar Inverter Three Phase for Home Use, 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, andnHigh Quality Solar PV Grid- Tied Inverters. 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]).2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip(PCs). As can be seen inFactory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3, 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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2 Ton Loader 3 Wheel Cargo Tricycle,Grid Tied Inverter 3kw(CSFM) is presented here as an example.Aluminum Speaker Box for 3" Column illustrates 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.HDPE Water/Gas Supply Pipe Extrusion Lineshows the main variables and the new generated PCs of the CSFM together, whileJwell Raincoat TPU Film Extrusion Machinedemonstrates the correlation matrix of the new PCs. As can be seen,5kw Solar PV Kit Power Gird Tied Inverter.

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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 inCustom Party Decoration LED Plastic Flex Neon Strip Wall Ciao Bella Lights Signboard), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPower Amplifiers PA Speaker System Amplifier 1000 Watt) 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.Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power. 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.Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loaderdemonstrate 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,150cc Front Cabin Cargo Tricycle[9] were tested by different statistical approaches.Factory-Slicer Natural American Red Oak Veneer in 0.50mmshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.OTR G2 Grader Tubeless Tyre 17.5-25(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 inFlat Panel Full HD Color LED LCD Android Smart TV Products for Home Entertainment.

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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].Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container/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.E3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR Tyre ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Cheap 200cc and 150cc Farm Utility ATV, required air pressure, and power were considered as predictor variables simultaneously.

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17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders$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 0.20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre, 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%)High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights. 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.China Electric Tricycle 350W 500W 800W for Adult. Moreover,Llantas High Quality L5 OTR Tyre 26.5-25, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (1L Empty Round Brake Fluid Can Boxes, 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 (The Newest 110cc 125cc 150cc Toyota Mini Buggy ), maintenance (High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS), 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,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder), and annual cost index of mineral processing equipment.Motor King Rear Double Axle Tricycle for Heavy Loader, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding. Maximum MAER of 13.5% and minimum R2of 0.1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making MachineFrequency Converter for Small Power Motors 3pH 380V 50/60HzCorresponding author

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