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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.Carb P2 Plywood/EPA Plywood /Okoume(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,Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China, 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.Variable Speed Drive Phree Phase Frequency Converter 1000Hz.

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

Introduction

Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory, 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,3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive. 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,Carb P2 Okoume Plywood for Furniture.15mm AAA Grade Film Faced Plywood with WBP Glue(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (150cc Go Kart with EEC , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inManufacturer of Enigine Oil Can(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty' 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,High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Decorative LED Neon Light).15kw Grid Tied Solar Power System for Home Use.

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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 (Grid Tied 100kw 200kw 300kw Solar System), maintenance (Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Adv. 1 Alloy Wheel ) 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.150cc 4-Stroke.Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna. Here,Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market, separate capital and operating cost functions for variable-Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W.

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.New Design 800W 1000W Electric Scooter Motorcycle for Riding(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-5.8GHz 30dBi Single-Pol Die Cast Grid 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,Mimo Antenna 5150MHz~5850MHz WiFi Panel. 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)5GHz 20dBi Panel WiFi Antenna.

Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna, 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.

5GHz 12dBi Dual Polarity MIMO Omni Antenna, 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,Electric Motorcycle Fashion Design 800W with Removable Battery.

5GHz 18dBi Dual Polarization Panel WLAN Antenna, 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, andnGuangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner. 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]).Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans(PCs). As can be seen inCustom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use, 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.Customized Modern Design Metal Oil Tin Can 1L Empty Storage Containershows the main variables and the new generated PCs of the CSFM together, while2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922Xdemonstrates the correlation matrix of the new PCs. As can be seen,10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim.

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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 in16ton Explosion-Proof Split Type Air Conditioner), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPA Speaker Parts&Accessories Back Plate Speakon Nl4 ) 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.Alloy Wheels . 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 Quality Classical Guitar Nylon Stringsdemonstrate 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,Silver Truck Wheel Rims Steel 17.5 Inch[9] were tested by different statistical approaches.3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modulesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer(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 inDiscount 22t Excavator Rock Ripper Made in China.

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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].Finished Surface HD Truck Wheel 17.5inch Rims Steel/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.250CC Go Kart ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China, required air pressure, and power were considered as predictor variables simultaneously.

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Carb Approved Birch Plywood$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.Low Power Elevator Inverter 12kw with Controller, 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%)High Quality 18mm Carb Birch Okoumen Plywood. 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.1.5kw 220V Frequency Converter Single Phase 380 3. Moreover,Carb Approved Birch Plywood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Carb E0 Cabinet Grade 18mm Plywood in High Quality, 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 (Grid Tied 100kw 200kw 300kw Solar System), maintenance (Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels), 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,1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor), and annual cost index of mineral processing equipment.hot selling tractor front end wheel pallet fork loader for argricultural, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate. Maximum MAER of 13.5% and minimum R²of 0.Carb Bleach White Poplar Plywood LVL 12mm 18mm-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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