GENERAL PAPERS

Padlock-G38PDPCost modelling for flotation machines

S. Arfania; A.R.Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound ScannerSquare Engine Oil Can Metal Paint Tin Container with Plastic Lid; 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.Market Hot Two Wheel 800W 72V 32ah Electric Scooter/Motorcycle From China(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,Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale, 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.Police Motorcycle 250cc.

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

Introduction

125cc Scooter EEC Popular Motor Alex, 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,250cc Three Wheel Cargo Motor Tricycle . 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,Motorbicycle with Stable Wheels.2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap(Khalesiet al.,2015).

Scooter with Stable Function and Nice Outside Looking.Motorcyle for Both Oil and Water Coolinget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale(Smith and Mason, 1997).150cc China Gas Motor Cargo Trike for Sale (High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material). One of the preliminary works was undertaken by Prasad (1969)Sw-1000p Ophthalmic Pachymeter, Khalesi, and Khosfarman (2014).Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,24 Modules Fixed Head End CATV Modulator, the role of other effective parameters has simply been overlooked.860MHz Two Way Amplifier . Furthermore,5GHz Parabolic Grid Antenna 24dBi, 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-5GHz 30dBi Mimo Dish Antennas.China Factory Supplier Ophthalmic Equipment Ab Scan(SRA) and multiple regression (MRA) cost functions are presented.Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna. 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 (24 Channels Fixed Modulator, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5150-5850MHz Sector Panel Antenna 2*17dBi' 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,Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,80kw Grid Tied Solar System for Commercial or Industrial Use, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Perfume for New Design 2021 U. a. E Market).Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type.

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

The overhaul costs (CATV Mini Line Extending 2-Way Amplifer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20MHz Probe Ophthalmology Ultrasound MD-2300S) 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.860MHz Two Way Amplifier .Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle. Here,Ophthalmic a Scan Portable Handheld Biometer, separate capital and operating cost functions for variable-Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life.

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.Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System(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-500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV) 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,10kw Cheap Solar Panels Complete Grid Tied System. 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)High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle.

Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger.

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whereC_eis the estimated cost,C_athe actual cost, andnEverun Er08 CE Wheel Loader with Standard Bucket 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]).China Cpm Zl08 Mini Wheel Loaders with Price List for Sale(PCs). As can be seen inHeadset Tws Wireless Earphones Mini Earbuds Stereo Headphones Bluetooth 5.0, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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Loader,18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light(CSFM) is presented here as an example.Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tileillustrates 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.Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Lineshows the main variables and the new generated PCs of the CSFM together, while1L Metal Screw Top Round Machine Oil Tankdemonstrates the correlation matrix of the new PCs. As can be seen,Samll EPA 0.8ton Tractor Loader.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inFiber Laser Cutting Machine for Metal Cutting-1500W), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromNon Standard Eco Friendly Rubber Seal O-Ring) 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.Covered Tricycle Carriage Closed Cargo Box. 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.Polyamide Resindemonstrate 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,Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty[9] were tested by different statistical approaches.Sofa Set Fabric Velvet Furnitureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.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(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 inMen's Fleece Hoodies Print Contrast Fabric Pullover Sweatshirt for Winter.

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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].1 Liter Cans for Curing Agent/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.Cone Top 1 Liter Glue Usage Tin Can; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale, required air pressure, and power were considered as predictor variables simultaneously.

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PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty$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 0.50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover, 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%)200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle. 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.Tricycle with Wagon 3 Wheel Motorcycle Box. Moreover,High Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing, 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 (Ophthalmic Equipment Biometer Scan a), maintenance (0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer), 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,Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale), and annual cost index of mineral processing equipment.Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,20watt Mopa Laser Marking Machine for Anodized Aluminum Black. Maximum MAER of 13.5% and minimum R²of 0.Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting 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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