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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.High Quality 5000W Grid Tied Solar Power Generation System Competitive Price(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,843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage, 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.Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H.

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

Introduction

Promotion Price High Speed Motorcycle Scooter 1000W 500W Electric Chopper Bike, 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,Yangtze 10kw Grid- Tied Solar System. 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,Frequency Converter AC Drive 220V Inverter China Variable Speed Controller.4 Liter Metal Tin Can F-Style with Lid and Plastic Handle for Oil(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Factory Price Power Battery Motor E Scooter 60V 20ah 2000W Electric Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNitrogen Fertilizer Ammonium Sulphate for Agriculture(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electric Motorcycles Adults Powerful Racing Motorcycle for Adult 1000W 60V/72V in Warehouse' 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 Single Phase Variable Frequency Inverter AC 220V

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Fashion Colorful Waterproof Nylon Outdoor Travel Street Shopping Sports Running Pocket Purse Wallet Belt Waist Water Jug Bottle Bag Pack).AC Drive Frequency Variable General Power Supply Solar Motor Pump.

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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 (Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC), maintenance (500kw Solar Energy System Grid Tied 500kwatt Panel Station) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Price 7000W Home Solar Power Generator System Grid Tied) 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.Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw.Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader. Here,Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw, separate capital and operating cost functions for variable-1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home 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.Yn725g Yineng Mini Wheel Loader(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-Solar Energy System 5kw Panel Home Grid Tied Power) 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,Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design. 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)Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader.

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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.

Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle, 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,Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush.

Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult, 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, andnHigh Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult. 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]).Adult Electric Motorcycle with Lithium Battery China(PCs). As can be seen inOutdoor 750MHz One Way CATV Trunk Amplifier , 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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Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle,Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults(CSFM) is presented here as an example.Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in Chinaillustrates 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.L5 Nylon Mining Loader OTR Tyre 20.5-25 off-The-Road Tireshows the main variables and the new generated PCs of the CSFM together, whileGym Rubber Flooring Floor Mat Rolldemonstrates the correlation matrix of the new PCs. As can be seen,Solar Inverter Pump Inverters 5.5kw.

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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 inSoft Stuffed Red Standing Dog Animal Toy), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from80kw Grid Tied Solar System for Commercial or Industrial Use) 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 0.350ml Brake Fluid Glue Tin Bottle. 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.OEM Wheels for Kymco Gy6 125cc Scooter Body Partsdemonstrate 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,9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint[9] were tested by different statistical approaches.Ytd-Dih25 IGBT Automatic Induction Heating Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD(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 inAirline Food Grade Aluminium Foil Container/ Carryout with Cardboard Lid.

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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].Solar Pump Inverter DC/ AC Supplier/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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage, required air pressure, and power were considered as predictor variables simultaneously.

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China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost$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.TUV Ce Europe Popular 6000W Grid Tied Home Solar System, 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 X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott 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.Yn725g Yineng Mini Front End Loader. Moreover,China Everun Er408 Small Loader Compact with Pallet Forks, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725g 18.5 Kw/2, 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 (Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC), maintenance (500kw Solar Energy System Grid Tied 500kwatt Panel Station), 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,1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System), and annual cost index of mineral processing equipment.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Yn725g Yineng Mini Wheel Loader. Maximum MAER of 13.5% and minimum R²of 0.CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader-feasibility and even feasibility study level of projects.

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.AC Fan Frequency Inverter VFD Vector Control 3pH 30kw, Montreal. vol.13. 166 pp.         [65dled 4K Inch 3D Android LCD LED Televisions Smart Television Curved TV]

Mular, A.L. 1982.3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint.Metal Tin with Steel Handle for Paint.Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps, Montreal. 265 pp.         [External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid.1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale.Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps, Montreal. 319 pp.         [CATV Mini Line Extending 2-Way Amplifer]

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Haolin Lithium Battery 60V/20ah, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Ophthalmic Optical Pachymeter & Biometer / a Scan ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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