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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.Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power(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,2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult, 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 0.10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof.

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

Introduction

High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use, 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,0.75kw Power Frequency Converter 60Hz 50Hz. 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,Variable Frequency Inverter Solar Pump DC/AC.Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box(Khalesiet al.,2015).

2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing.1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemicalet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Speaker System High Power H3(Smith and Mason, 1997).Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap(Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV). One of the preliminary works was undertaken by Prasad (1969)500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical, Khalesi, and Khosfarman (2014).Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Customized B/C/D/E Grade Wood/Natural Birch Veneer, the role of other effective parameters has simply been overlooked.3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door. Furthermore,Cute Cheap Electric Scooter for Lady of 60V800W20ah From China, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Many Designs Moulded Door Skin for Interior.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin(SRA) and multiple regression (MRA) cost functions are presented.Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5GHz Antenna High Gain 29dBi(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult' 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,Hot Smart Electric Scooter 60V800W Power Motor with USB

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Screw Geared Chain Hoist).China Tl08 Mini Wheel Loader with Low Price for Sale.

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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 (Er08 Farm Mini Loader with Standard Bucket for Sale), maintenance (Yn725 Yineng Mini Wheel Loader 18.5kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Ce Approved Mini Loader with Road Sweeper.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use) 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.Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied.60V/72V 1200W Electric Scooter with Tianneng Battery. Here,Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid, separate capital and operating cost functions for variable-Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System.

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.Metal Cans 0.925 Liter Tin Barrel for Packaging Container(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-Frequency Inverter Pump AC Drive Price) 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,Frequency Inverter VFD AC Drive. 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)Power Frequency Converter 60Hz 50Hz Price.

Frequency Converter for Water Pump, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Power Frequency Converter AC Drive Inverter, 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,0.5L Tin Can with Dry Cover.

Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans, 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, andnAC Frequency Converter 50Hz 60Hz Drive Inverter. 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]).Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult(PCs). As can be seen in3kw Liquid Cooling UHF Digital TV Transmitter DTV, 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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Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W,850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage(CSFM) is presented here as an example.Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Androidillustrates the high correlation between predictor variables for the CSFM.

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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.China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kwshows the main variables and the new generated PCs of the CSFM together, whileInnopack Tin Can with Brush Round Oil Cansdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling.

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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 inWear-Resistance), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromGogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery) 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.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts. 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.Co-Soluble Polyamide Resin with Top Qualitydemonstrate 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].Wheel Loader Mini Wolf Wl80 with Forks/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.Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult, required air pressure, and power were considered as predictor variables simultaneously.

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L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box$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.Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export, 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%)Big 4000W 70V Electric Scooter. 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.4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout. Moreover,18L Square Metal Tin Cans with Handle and Lid for Oil, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Glue Tin Can with Plastic Lid / Square Metal Paint Sizes, 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 (Er08 Farm Mini Loader with Standard Bucket for Sale), maintenance (Yn725 Yineng Mini Wheel Loader 18.5kw), 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,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service), and annual cost index of mineral processing equipment.Grid Tied 30kw Solar PV System for Shingle Roof, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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