GENERAL PAPERS

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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.Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock(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,Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin, 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.China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery.

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

Introduction

Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W, 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,World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple. 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,Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult.Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult(Khalesiet al.,2015).

2021 Fashion Electric Mtorcycle 2000W Motor China.Mini Dumper Wolf Wl80 Loader with CEet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Llantas High Quality L5 OTR Tyre 26.5-25(Smith and Mason, 1997).Engine Oil Cans 4 Liter Motor Lubricating Tin Can(Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%). One of the preliminary works was undertaken by Prasad (1969)Yn725 Gyineng Mini Wheel Loader, Khalesi, and Khosfarman (2014).Solar Pump Frequency Inverter MPPT Fuction 0.75kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box, the role of other effective parameters has simply been overlooked.Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W. Furthermore,AC to Drive 380V Frequency Inverter 4kw, 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-Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon.2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals(SRA) and multiple regression (MRA) cost functions are presented.China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V. 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 (Small Fquequency Inverter/Converter for Mini Motor, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHeat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1.5kw 1HP AC Frequency Inverter' 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 Hot Sale Frequency Converter/Inverter 380V 50/60Hz

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Residential Grid Tied 6kw Solar Power System for Home, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (50CRV4 Cold rolled steel coil/plate).Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults.

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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 (on Grid Solar Panel System 30kw Tied Home Power), maintenance (Tractor loader/ mini loader with four wheels for loading) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 60V 20ah EEC Motorcycle Electric Moped Scooter 500/ 800W Motorbike.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Industrial Titan Small 0.8 Ton Articulated Earth Mover Euro Auto Mini Farm Truck Wheel Tractor Front End Loader for Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scooters) 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.Three Phase Frequency Inverter Made in China Hot Sale.0.8ton mini wheel loader with small bucket for multifunctional use. Here,Wuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult, separate capital and operating cost functions for variable-2 Wheel Electric Motorcycle with Lead 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.Solar Panel System 20kw Grid Tied Power for Home(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-5kw Solar-Diesel Generation Hybrid Grid- Tied 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,Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects. 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)2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid Tied.

Cheap Commercial Plywood for Construction Decoration and Furniture Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Kodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite, 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.

Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy, 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,20kw Grid Tied Solar System.

Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller, 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, andnCheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China. 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]).Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android(PCs). As can be seen inQ1 Dual 10 " Line Array System, 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.English Firmware Huawei Hg8346m Optical Network Terminal Gpon ONU Ont 4port Epon 4feshows the main variables and the new generated PCs of the CSFM together, while2.4/ 5GHz Dual Band H-Pol Sector Antennademonstrates the correlation matrix of the new PCs. As can be seen,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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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 inFashion Earring Crystal Jewelry 925 Sterling Silver), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPA Horn Loaded Speaker Professional Loudspeaker) 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.Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz. 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.Natural Wood Sapele Veneer Plywood for Furniture Gradedemonstrate 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,3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw[9] were tested by different statistical approaches.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Useshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.VFD Frequency Converter Inverter for Constant Pressure Water Supply(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 inBlack White Vein Granite Slab for Flooring Tile.

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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].7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump/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.large cabin and powerful engine Customized 0.8ton mini wheel loader; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin, required air pressure, and power were considered as predictor variables simultaneously.

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AL908 0.8ton Wheel Loader Machinery for Sale$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.Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket, 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%)800kg China Small Front High Quality Wheel Loader for Sale in Europe. 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.Melamine Glue WBP Commerical Plywood. Moreover,Decorative Pine Groove Plywood Veneer Fancy, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated, 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 (on Grid Solar Panel System 30kw Tied Home Power), maintenance (Tractor loader/ mini loader with four wheels for loading), 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,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork), and annual cost index of mineral processing equipment.18mm Embossed Melamine Faced Commercial Plywood for Furniture Making, 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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