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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.Ophthalmic Pachymeter (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,6A Grade Indian Beard, 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.Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder.

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

Introduction

50W LED Bulb Marking, 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,50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon. 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,Flexible Label Laser Marking Machine for Airbag Warning Labels.WiFi Wireless Ultrasound Linear Color Doppler USB 192 Elements Probe(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMassage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic' 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,Gain 30dB 1 Output CATV House User Amplifier with AGC

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Softel 24 Channel Optional RF Fixed Analog Modulator, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Shipping Service From Shenzhen to Macau).Solar Energy System 3kwh Power Home Built in Inverter.

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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 (High Quality 3kwh Rechargeable LiFePO4 Lithium Battery), maintenance (Automatic Thermostatic Vulcanizer for Sale ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,BMW N63 S63 Camshaft Alignment Tool Set .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery) 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.Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines.Motorcycle Parts Speed Cable for Gy6 -150. Here,Powder Metallurgy Hot Press Sintering Furnace, separate capital and operating cost functions for variable-Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200.

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.Cheap Popular Pattern 3.00-18 Motorcycle Tyre(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-Strong Corrosion Resistance High Overload Pressure Sensor) 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,300cc Triciclo Con Cabina. 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)Three Wheel Trolley Tube Type Tire 90/90-18.

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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.

New Pattern Best Price 110/90- 17 Motorcycle Tire, 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,Tire Brands to Avoid 2.50- 17 Solid Tire..

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whereC_eis the estimated cost,C_athe actual cost, andnLashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm. 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 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip(PCs). As can be seen inNordic Sofa Living Room Three-Person Simple Modern Technology Cloth Latex Art Small Unit Combination, 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.10 Inch Coaxial Speaker Professional Driver 250wrms Line Arrayshows the main variables and the new generated PCs of the CSFM together, whileSt-2kw 230V/50Hz Single Phase Brush Alternator for Saledemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.

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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 inSkycron® Disperse Blue 60/S-GL Dye Printing Fabric), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSe0/Fsc/ Carb Naf 18mm MDF Board) 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 0.2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment. 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.250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Capdemonstrate 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,2021 New Arrival Malaysian Eyebrow[9] were tested by different statistical approaches.Line Array Horn of Professional Audio 170L*160W*140h 1" shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.18" Remy Hair Lace Front Closure Natural Color Body Wave(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 inPlush&Stuffed Santa Claus.

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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].2D Echo Color Doppler Ultrasound Scanner/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.Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,6A Grade Indian Beard, required air pressure, and power were considered as predictor variables simultaneously.

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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.Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches. Moreover,50cc EEC Motorcycle Scooter Efi Moped, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery, 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 (High Quality 3kwh Rechargeable LiFePO4 Lithium Battery), maintenance (Automatic Thermostatic Vulcanizer for Sale ), 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,50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi ), and annual cost index of mineral processing equipment.Zhenhua New T5 300cc Motorcycle Efi, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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