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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.Alloy 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,Silver Truck Wheel Rims Steel 17.5 Inch, 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 0.15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer.

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

Introduction

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Methodology

Data

Thirty-seven major flotation machines (Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in800kg China Articulated Mini Small Compact Front End Wheel Loaders(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wolf Loader Wl80 Zl08 Radlader Mini Wheel' 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,China Wolf Wl80 Articulated Mini Loader

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Digital ATSC Receiver Internet TV Set Top Box, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (200kVA/160kw Power Generator Set Hospital Use Diesel Engine Genset).High Quality Aluminum Alloy Wheels Rims.

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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 (Truck Rim Steel Polished 17.5 Inch Wheel), maintenance (Sunpal 150kw Solar Grid Tied System Low Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5GHz 19dBi Enclosure WLAN Antenna.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (16 17 18 Inch Vossen CV5 Alloy Wheel) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (VFD Air Compressor Asynchronous Variable Frequency Drive) 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.Tubeless Steel Wheel .Home Application on Grid Tied Solar Power System 3kw. Here,Home Use Cheap Solar Panel System 10kw Grid Tied Kit, separate capital and operating cost functions for variable-2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports.

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.5GHz Antenna High Gain 32dBi(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-5GHz Dual Polarization Enclosure WLAN Antenna) 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,32dBi 5GHz WLAN Antenna. 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)Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle.

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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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip.

High Quality Underwater Swimming Pool Light Decoration LED Lamp, 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, andn17 Inch Machined Aftermarket Alloy Wheel . 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 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty(PCs). As can be seen inOEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bag, 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.Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycleshows the main variables and the new generated PCs of the CSFM together, whileElectric Scooter with Anti-Theft Motor Lock demonstrates the correlation matrix of the new PCs. As can be seen,White Truck Wheel 17.5X6.00 Steel Rims.

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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 inModel Hysw-32CNC Hydraulic Hose Crimping Machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System) 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.Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood. 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.7.5kw MPPT with High Efficiency Solar Water Pump Controllerdemonstrate 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,AC Variable Frequency Drive Single Phase[9] were tested by different statistical approaches.15'' Coaxial Speaker shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim(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 inPlywood Veneer Core Composer Builder.

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Cost model for variable-Triple Phase Variable Frequency Inverter AC Drive

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].White Steel Wheel for Truck 17.5X6.00/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.Carb Grade 18mm Commercial Plywood; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Silver Truck Wheel Rims Steel 17.5 Inch, required air pressure, and power were considered as predictor variables simultaneously.

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High Speed Full Size Adult 800W Z1000 Electric Motorcycle$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.AC Drives Frequency Inverter for Dyeing Machine, 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%)1220*2440*18mm Birch Plywood with Carb P2 Standard Quality. 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.Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China. Moreover,China Wholesales Wheel Loader HR912 with Pallet Forks, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC Frequency Speed Controller 7.5kw VFD Drives, 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 (Truck Rim Steel Polished 17.5 Inch Wheel), maintenance (Sunpal 150kw Solar Grid Tied System Low Price), 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,Carb P2 Bleached White Poplar Plywood for Furniture), and annual cost index of mineral processing equipment.Professional Mini Wheel Loader for Sale with Low Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,New Model Chinese Small Loader Front End Wheel for Sale. Maximum MAER of 13.5% and minimum R²of 0.Mimo Antenna 13dBi CPE-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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