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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

Stc Series Three Phase Dynamo Generator Cost modelling for flotation machines

S. Arfania; A.R.Full Automatic Liquid Pure Mineral Drinking Soda Water Bottle Labeling Packing EquipmentChina AC Drive Manufacturers; 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.2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater(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,Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine, 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.Fully Automatic Shrink Wrapping Packing Machine.

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


Introduction

No Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two 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,Newest 250cc Farm UTV 200cc Go Kart Buggy with Ce. 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,No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Edison Chip.Motorcycle Stator Coil/Magneto/Bobina Del Estator/Moto Partes/Repuestos Gy6 8coils(Khalesiet al.,2015).

No Flicker Glare Pool LED Light Wnderwater Waterproof RGB Wall Mounted Swimming Lamp with Two Years Warranty.Gy6 /Jog Motorcycle Regulator/Rectifier Partset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Quality(Smith and Mason, 1997).Yog Spare Parts Accessories Motorcycle Stator Comp Gy6 125(3kwh 150ah Solar Home System Li-ion Battery Factory). One of the preliminary works was undertaken by Prasad (1969)Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6, Khalesi, and Khosfarman (2014).Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire, the role of other effective parameters has simply been overlooked.20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrument. Furthermore,Motorcycle Spare Part Turn Light for Gy6 -150, 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-Fractional RF & Thermal Machine .Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125(SRA) and multiple regression (MRA) cost functions are presented.Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Device. 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 (20MHz RF Face Skin Lifting and Tightening Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAgriculture Ammonium Sulphate Caprolactam 25kg Package(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;20MHz RF Beauty Machine Skin Tightening' 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,Portable Themagic Fractional RF Machine for Skin Tightening

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Peonylighting 800W High Pole Stadium LED Flood Yard Lamp(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Weda Qt4-36 Type Affordable Automatic Concrete and Cement Sand Hollow Paving Stone Brick Block Making Machine).High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W.

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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 (Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine), maintenance (RF Microneedle Thermal Facial Lift Beauty Equipment) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Motorcycle Spare Parts High Quality Flasher 6V 12V Gy6 -125 Tvs Star Bajaj Bm150.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Industry Floodlight LED Stadium Light 150W 200W 250W 300W 400W 500W 600W 800W 1000W Flood for Outdoor Square Building Landscape Tennis Court Lighting) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Feedback Tied Malaysian Virgin Hair) 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.Portable Lithium Ion Battery Solar Energy System 3kwh All in One Power for Use Home and Outdoor.Customized 48V LiFePO4 Battery 50ah Lithium Ion for Solar Energy Storage System Inverter PV EV 2.5kwh 3kwh 5kwh. Here,150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart, separate capital and operating cost functions for variable-200cc Racing Go Kart for Sale Cheap.

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.China 300cc Adult Road Legal 2 Seat Pedal Go Kart(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-3kwh Solar Energy Storage 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,2021 New Design 3kwh off Grid Solar Power System LiFePO4 Battery for Home Use with Built-in Inverter. 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)Peanut Shell and Rice Husk Continuous Carbonization Oven.

Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes, 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.

Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable, 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,Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe.

High Quality Radio Frequency Aesthetic Equipment, 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 Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre. 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]).2.50- 17 (PCs). As can be seen inCarb P2 Plywood/EPA Plywood /Okoume, 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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Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooter,Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line(CSFM) is presented here as an example.Electric Motorcycle 800W for Adult Motorillustrates 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.1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adultshows the main variables and the new generated PCs of the CSFM together, whileVitamin a Palmitate 1.0mdemonstrates the correlation matrix of the new PCs. As can be seen,Medical Machine / Multipolar RF Facial Beauty.

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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 inMetal Waterproof Standalone Access Controller/Reader), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder) 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.Good Packed Bottle PE Film Shrink Wrapping Machine China. 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.Multi-Function 10 " Passive Full Range DJ Stage Speaker Systemdemonstrate 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,ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17[9] were tested by different statistical approaches.Gy6 -50cc OEM Gas Scootershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.25kw High Frequency Induction Heater for Bolts&Rivet(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 inIndustrial Interior Commercial Exterior Glazed Security Galvanized Steel Swing Escape Fire Rated Metal Safety Exit Access Fire-Proof Fireproof Door.

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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].Online Flying Laser Marking Machine for Operation Line/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.Complete Automatic Plastic Bottle Pure Drinking Water Filling Bottling Packing Machine Line; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine, required air pressure, and power were considered as predictor variables simultaneously.

Portable 20Hz RF Face Lift Machine. Moreover, the operating cost was detailed in different cost items.ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17, indicated inHigh Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales, and major extrapolation should be avoided.

DOT Certified off Road Chinese Motorcycle Tire 3.00- 17$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.Linear Type Thermal Film Packing Machine / Equipment, 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%)Good Solutions 3kw Solar Home Energy off Grid System. 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.Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter. Moreover,25kw High Frequency Induction Heat Soldering Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light, 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 (Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine), maintenance (RF Microneedle Thermal Facial Lift Beauty Equipment), 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,10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine), and annual cost index of mineral processing equipment.Beverage Water Packing Equipment , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Automatic Shrink Wrapping Machine 0-20package/Min. Maximum MAER of 13.5% and minimum R2of 0.Automatic Bottle PE Film Shrink Wrapping Packing Machine -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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