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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.Motorbicycle with Stable Wheels(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,2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap, 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.Scooter with Stable Function and Nice Outside Looking.

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

Introduction

Motorcyle for Both Oil and Water Cooling, 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,150cc China Gas Motor Cargo Trike for Sale . 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,Sw-1000p Ophthalmic Pachymeter.Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 (Khalesiet al.,2015).

24 Modules Fixed Head End CATV Modulator.860MHz Two Way Amplifier et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate(Smith and Mason, 1997).5GHz Parabolic Grid Antenna 24dBi(3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery). One of the preliminary works was undertaken by Prasad (1969)5GHz 30dBi Mimo Dish Antennas, Khalesi, and Khosfarman (2014).China Factory Supplier Ophthalmic Equipment Ab Scan; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna, the role of other effective parameters has simply been overlooked.24 Channels Fixed Modulator. Furthermore,5150-5850MHz Sector Panel Antenna 2*17dBi, 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-12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar.Replica Aluminum Alloy Wheels for Skoda(SRA) and multiple regression (MRA) cost functions are presented.Best Price Sab-500 Ophtalmic Ab Scan. 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 (Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Laminated Food Grade Roll Film(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,860MHz CATV One Way Amplifiers, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CATV Mini Line Extending 2-Way Amplifer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (6W LED Bulb Use for Solar Garden Lights).20MHz Probe Ophthalmology Ultrasound MD-2300S.

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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 (860MHz Two Way Amplifier ), maintenance (Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Ophthalmic a Scan Portable Handheld Biometer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System) 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.500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV.10kw Cheap Solar Panels Complete Grid Tied System. Here,High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle, separate capital and operating cost functions for variable-Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack.

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.1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit 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-Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power) 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,72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger. 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)China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai.

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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.

Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V, 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,Loader.

18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light, 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).

whereC_eis the estimated cost,C_athe actual cost, andnSamll EPA 0.8ton Tractor Loader. 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]).Closed Motorized China Cargo Tricycle with Box (PCs). As can be seen in3293 Fast Rose Lake B Pigment , 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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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.Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proofshows the main variables and the new generated PCs of the CSFM together, whileReplica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Seriesdemonstrates the correlation matrix of the new PCs. As can be seen,Metal Packing Chemical Round Tin Can.

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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 inHandmade Lady Jewelry Crown Necklace), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCertificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle) 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.Cone Top 1 Liter Glue Usage Tin Can. 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.High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Usedemonstrate 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,High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket[9] were tested by different statistical approaches.Plastic PVC|PE|PP|PPR|Agriculture Water|Gas|Irrigation Pipe|Faux Marble Sheet|Foam Board Floor|Roofing Tile|Extruder|Extrusion Making Machine Production Lineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming 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 inWaterproof Laptop Fashion Outdoor Sport School Book Bags Business Men Travel Backpack.

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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].50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover/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.200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap, required air pressure, and power were considered as predictor variables simultaneously.

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Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing$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.Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale, 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%)Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty. 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.20watt Mopa Laser Marking Machine for Anodized Aluminum Black. Moreover,Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting 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 (No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light 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 (860MHz Two Way Amplifier ), maintenance (Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle), 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,2021 New E Bike Best Mini Electric for Adults), and annual cost index of mineral processing equipment.Power Saver Device , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,1liter Empty Paint Tin Can with Lids Factory. Maximum MAER of 13.5% and minimum R²of 0.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports-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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