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.3HP Three Phase Frequency Converter(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,1HP Frequency Converter Vector Three Phase, 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 0.15HP Frequency Converter Vector Three Phase.

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

Introduction

2HP Frequency Converter Vector Single Phase, 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,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw. 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,Home Use 6kw Grid Tied Solar Power System with High Performance.Hot Sale 10kw 10000W off Grid Solar Power System Home Use(Khalesiet al.,2015).

4kw 3phase Frequency Converter 50Hz to 60Hz.1.5kw 3phase Frequency Converter 50Hz to 60Hzet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pyridinecas Number 110//86//1 Used as Chemical Reagent(Smith and Mason, 1997).Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels(Mini L18 Tws V5.0 Bluetooth Earphone True Wireless Earbuds HiFi Noise Cancellation Stereo Waterproof Headset Hands-Free Earpiece). One of the preliminary works was undertaken by Prasad (1969)Round Tin Can for Food Packaging Empty Tinplate, Khalesi, and Khosfarman (2014).2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs, the role of other effective parameters has simply been overlooked.Technical Wood Veneer MDF Boards for Cupboard. Furthermore,High Quality Small Metal Tin Can with Open Top Lid for Lubricant, 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-Long Using Life Shuttering Plywood with Logo for Construction.Huihuang Bamboo Fence Timbers(SRA) and multiple regression (MRA) cost functions are presented.Solar Power System Home 5kw off Grid Tied Solution. 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 (2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inThree Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Power Mini Electric Scooter for Lady 60V800W' 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,0.75kw Power Frequency Converter 60Hz 50Hz

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Variable Frequency Inverter Solar Pump DC/AC, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (LED Filament Bulb St64 Edison Lights).2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing.

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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 (1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical), maintenance (Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Customized B/C/D/E Grade Wood/Natural Birch Veneer) 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.3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door.Cute Cheap Electric Scooter for Lady of 60V800W20ah From China. Here,Many Designs Moulded Door Skin for Interior, separate capital and operating cost functions for variable-Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin.

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.Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA(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-Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady) 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,Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult. 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)350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults.

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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.

Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal, 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,Hot Smart Electric Scooter 60V800W Power Motor with USB.

Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike, 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 Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W. 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]).China Tl08 Mini Wheel Loader with Low Price for Sale(PCs). As can be seen inIndustrial Energy Saving Device Made in China, 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.433Mbps16dBm Wsd377 Qualcomm Atheros Qca9377-3 2.4GHz/ 5GHz WiFi + Bluetooth 5.0 Combination Sdio USB Moduleshows the main variables and the new generated PCs of the CSFM together, whilePLA Masterbatch Manufacturers for 3D Printing Filamentdemonstrates the correlation matrix of the new PCs. As can be seen,2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.

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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 inProfessional Vertical Industrial Underwater Borehole Pipe Video Inspection Camera), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHighly Quality 1500V Solar Mc4 Energy System Connector IP67 PV) 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.Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied. 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.6A Grade Indian Bearddemonstrate 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,60V/72V 1200W Electric Scooter with Tianneng Battery[9] were tested by different statistical approaches.3kw Liquid Cooling UHF Digital TV Transmitter DTVshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid(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 inCee IEC 16A IP67 3 Poles Male and Female Industrial Socket.

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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].Metal Cans 0.925 Liter Tin Barrel for Packaging Container/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.Frequency Inverter Pump AC Drive Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1HP Frequency Converter Vector Three Phase, required air pressure, and power were considered as predictor variables simultaneously.

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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.0.5L Tin Can with Dry Cover. Moreover,Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC Frequency Converter 50Hz 60Hz Drive Inverter, 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 (1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical), maintenance (Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap), 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,Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult), and annual cost index of mineral processing equipment.Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W. Maximum MAER of 13.5% and minimum R²of 0.850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity72V20ah Battery 800W Motor 60km Distance Range Electric MotorcycleCorresponding author