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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.Customized Rubber Spacer Black Silicone Bushing(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,Gym Rubber Flooring Floor Mat Roll, 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.Ihi Turbocharger 2001-04 Peugeot.

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

Introduction

Gt1749V , 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,2004-10 for Volkswagen. 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,Borg Warner BV45 Turbo 5303-988-0337 Core Chra for Nissan.T250-04 452055-5004s Turbocharger for Gemini III Engine(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCustomized Metal Tea Canister Food Packaging Box Round Can Tin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Purity 99.0%Min. Ademetionine Disulfate Tosylate ' 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,Pipe Bevelling Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Green Plastic Masterbatch Blowing Film Grade(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yishan 160HP bulldozer T160G with ROPS cab).Green Color HDPE Masterbatch.

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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 (Blue Masterbatch for Film), maintenance (Yellow Color Plastic Masterbatch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yellow HDPE Masterbatch.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Universal LPG Gas Completed ECU Conversion Kit) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Act Best Seller CNG LPG Gas Car Emulator) 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.CNG/LPG Rail Injector Type Gas 4 Cylinders.Act MP 48 ECU Switch/Act 2568d Switch. Here,Fuel Gas Cylinder ECU 2568d Map Sensors, separate capital and operating cost functions for variable-Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit.

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.Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits(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-Electric Pipe End Bevelling Machine) 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,T-Electric Pipe Bevelling Machine . 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)Pneumatic Pipe Beveling Machine High Performence.

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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.

Plastic Green Color Masterbatch, 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,4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection System.

3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail, 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, andnL Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System. 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]).High Quality Diesel Engine Parts 4 Cyl Pump Rotor Head 096400-0371(PCs). As can be seen in10W 4" Inchs LED Dimmable Downlight for Room, 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.Professional Manufacture Y Solar Mc4 Energy System Connector PVshows the main variables and the new generated PCs of the CSFM together, whileGy6 /Jog Motorcycle Spare Parts Regulator/Rectifierdemonstrates the correlation matrix of the new PCs. As can be seen,Master Batch Organic Colors.

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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 inCNC Fiber Laser Cutting Machine Sheet and Pipe Price Jinan Ruijie), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820) 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.Plastic Purple Color Masterbatch. 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.Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1demonstrate results for the machines modelled in this research.

Multiple regression results

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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].Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality/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.Cosmetic Raw Material 99% Retinoic Acid 302- 79 -4; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Gym Rubber Flooring Floor Mat Roll, required air pressure, and power were considered as predictor variables simultaneously.

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Factory Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7$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.Health Raw Material L-Carnitine Fumarate CAS No.: 90471- 79 -7 with High Quality, 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%)Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7. 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.Best Price Bulk Powder Retinyl Palmitate 79 -81-2. Moreover,Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Health Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7, 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 (Blue Masterbatch for Film), maintenance (Yellow Color Plastic Masterbatch), 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,Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043), and annual cost index of mineral processing equipment.Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139, 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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