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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.2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults(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,Power Mini Electric Scooter for Lady 60V800W, 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.Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power.

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

Introduction

2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult, 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,10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof. 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,High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use.0.75kw Power Frequency Converter 60Hz 50Hz(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHighly Quality 1500V Solar Mc4 Energy System Connector IP67 PV(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA' 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,1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Smart Electric Scooter 60V800W Power Motor with USB(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Eco-Friendly Horror Scary Halloween Party Supplies Green Bizarre Fish Head Mask).Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike.

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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 (Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W), maintenance (China Tl08 Mini Wheel Loader with Low Price for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Er08 Farm Mini Loader with Standard Bucket for Sale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yn725 Yineng Mini Wheel Loader 18.5kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ce Approved Mini Loader with Road Sweeper) 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.2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use. Here,Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied, separate capital and operating cost functions for variable-60V/72V 1200W Electric Scooter with Tianneng Battery.

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.Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid(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-Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System) 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,Metal Cans 0.925 Liter Tin Barrel for Packaging Container. 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)Frequency Inverter Pump AC Drive Price.

Frequency Inverter VFD AC Drive, 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 60Hz 50Hz Price, 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.

Frequency Converter for Water Pump, 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,Power Frequency Converter AC Drive Inverter.

Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals, 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, andn0.5L Tin Can with Dry Cover. 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]).Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans(PCs). As can be seen in6A Grade Indian Beard, 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.Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Androidshows the main variables and the new generated PCs of the CSFM together, whileChina Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kwdemonstrates the correlation matrix of the new PCs. As can be seen,Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W.

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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 in60Hz 250kVA Trailer Type Silent Diesel Generator for Philippines Market 200kw Mobile Portable Genset), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromTricycle with Wagon 3 Wheel Motorcycle Box) 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.Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling. 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 Impact Strength and Low Water Absorption Resin 610demonstrate 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,Cheap Smart Lady's Electric Scooter 60V800W[9] were tested by different statistical approaches.Co-Soluble Polyamide Resin with Top Qualityshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts(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 in2014 Brand New Empire White Lace High Neck Satin Wedding Dresses Bridal Gowns.

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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].0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift/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.Yn725 Yineng Mini Wheel Loader 18.5kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Power Mini Electric Scooter for Lady 60V800W, required air pressure, and power were considered as predictor variables simultaneously.

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Wolf Wl80 Mini Radlader Hoflader with Forks in Farm$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.High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base, 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%)L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box. 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.Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export. Moreover,Big 4000W 70V Electric Scooter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout, 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 (Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W), maintenance (China Tl08 Mini Wheel Loader with Low Price 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,18L Square Metal Tin Cans with Handle and Lid for Oil), and annual cost index of mineral processing equipment.Glue Tin Can with Plastic Lid / Square Metal Paint Sizes, 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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