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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.City Scooter 800W Long Range Electric(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,800W Electric Scooter Motorcycle Bicycle with Folding Rack, 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.Wholesale Adult Tricycle Price Adults Tuk Motorcycle in India.

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

Introduction

Sporty 500W/ 800W /1000W, 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,5GHz 10dBi Outdoor WiFi Omni Antenna . 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,Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner.Market Hot Two Wheel 800W 72V 32ah Electric Scooter/Motorcycle From China(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (24 Modules Fixed Head End CATV Modulator, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPadlock-G38PDP(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;860MHz Two Way Amplifier ' 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,24 Channels Fixed Modulator

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,5150-5850MHz Sector Panel Antenna 2*17dBi, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hotel Textiles Mercerized Cotton Linen Upholstery Decorative Sofa Fabric).Replica Aluminum Alloy Wheels for Skoda.

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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 (Best Price Sab-500 Ophtalmic Ab Scan), maintenance (Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (80kw Grid Tied Solar System for Commercial or Industrial Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis 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.Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type.Ophthalmic Equipment Biometer Scan a. Here,0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer, separate capital and operating cost functions for variable-860MHz CATV One Way Amplifiers.

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.CATV Mini Line Extending 2-Way Amplifer(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-20MHz Probe Ophthalmology Ultrasound MD-2300S) 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,860MHz Two Way Amplifier . 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)Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle.

Ophthalmic a Scan Portable Handheld Biometer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life, 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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV.

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whereC_eis the estimated cost,C_athe actual cost, andnHigh Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle. 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]).Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack(PCs). As can be seen inHigh Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material, 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.Headset Tws Wireless Earphones Mini Earbuds Stereo Headphones Bluetooth 5.0shows the main variables and the new generated PCs of the CSFM together, whilePortable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25demonstrates the correlation matrix of the new PCs. As can be seen,China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai.

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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 inCCD Four-Wheel Aligner From China), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from1L Metal Screw Top Round Machine Oil Tank) 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.China Cpm Zl08 Mini Wheel Loaders with Price List for Sale. 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 Performance Motorcycle Tire for Senegal demonstrate 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,Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V[9] were tested by different statistical approaches.Non Standard Eco Friendly Rubber Seal O-Ringshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Loader(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 inMDF with Melamine Top Conference Table for Meeting Room.

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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].Samll EPA 0.8ton Tractor Loader/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.Closed Motorized China Cargo Tricycle with Box ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,800W Electric Scooter Motorcycle Bicycle with Folding Rack, required air pressure, and power were considered as predictor variables simultaneously.

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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$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.Metal Packing Chemical Round Tin Can, 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%)1 Liter Cans for Curing Agent. 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.Cone Top 1 Liter Glue Usage Tin Can. Moreover,High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool 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 (Best Price Sab-500 Ophtalmic Ab Scan), maintenance (Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25), 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,PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty), and annual cost index of mineral processing equipment.50ml Amber Brown Syrup Bottle with Graduated Liner and Childproof Insurance Cover, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle. Maximum MAER of 13.5% and minimum R²of 0.Tricycle with Wagon 3 Wheel Motorcycle Box-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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