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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.Morel Free Shipping 10kw on Grid Tied PV Solar System Home Use for Lighting Heating Air Conditioner(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,5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid, 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.Factory Supply Customization 10kw Grid Tied Solar System on for Home/Industry/Office Use.

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

Introduction

Mars Solar 350W 360W Panel Complete Power System 30kw Grid Tied Inverter with WiFi for Commercial 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,High Quality 5000W Grid Tied Solar Power Generation System Competitive Price. 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,843 3kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage.Electric Motorcycle 1000W Motorbike 60V Fast Speed Moped 65km/H(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Everun 0.8ton Chinese Articulated Mini Wheel Loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yn725 Yineng Mini Wheel Loader 1t 0.5cbm Capacity' 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,Frequency Drive Converter Solar Pump Inverter

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),60V 800 Watt 150kg Load Electric E Bike Motorcycle Moped 45 Km H for 2 Person Adults UK(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (HDPE Squeeze Bottle Flat Clear).Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter.

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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 (China Single Phase Variable Frequency Inverter AC 220V), maintenance (Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (AC Drive Frequency Variable General Power Supply Solar Motor Pump) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC) 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.500kw Solar Energy System Grid Tied 500kwatt Panel Station.Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle. Here,Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC, separate capital and operating cost functions for variable-Factory Price 7000W Home Solar Power Generator System Grid Tied.

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.Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw(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-Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader) 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,Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw. 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)1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System.

Yn725g Yineng Mini Wheel Loader, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Solar Energy System 5kw Panel Home Grid Tied Power, 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.

Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design, 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,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader.

Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V, 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, andnHaolin Lithium Battery 60V/20ah. 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]).Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle(PCs). As can be seen inNitrogen Fertilizer Ammonium Sulphate for Agriculture, 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.Barrow Mini Dumper with Three Wheelsshows the main variables and the new generated PCs of the CSFM together, whileFree Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in Chinademonstrates the correlation matrix of the new PCs. As can be seen,Adult Electric Motorcycle with Lithium Battery China.

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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 inCNC Electric Hydraulic Steel Plate Press Brake Machine Wc67K), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHeavy Duty Tricycle 250cc) 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 Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle. 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.80kw Grid Tied Solar System for Commercial or Industrial Usedemonstrate 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,Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults[9] were tested by different statistical approaches.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Solar Inverter Pump Inverters 5.5kw(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 inAutomatic Cement Block Machine\Concrete Paver Making Machine.

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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].350ml Brake Fluid Glue Tin Bottle/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.9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5 Liters Empty Round Paint Tin Packaging Containers Tins Cans with Triple Tight Lid, required air pressure, and power were considered as predictor variables simultaneously.

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Solar Pump Inverter DC/ AC Supplier$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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw, 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%)Frequnce Converter AC Drive 380V 11kw. 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.Solar Inverter Pump 15kw. Moreover,China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (TUV Ce Europe Popular 6000W Grid Tied Home Solar System, 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 (China Single Phase Variable Frequency Inverter AC 220V), maintenance (Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery China), 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,High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box), and annual cost index of mineral processing equipment.Yn725g Yineng Mini Front End Loader, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,China Everun Er408 Small Loader Compact with Pallet Forks. Maximum MAER of 13.5% and minimum R²of 0.Yn725g 18.5 Kw/2-feasibility and even feasibility study level of projects.

References

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.AC Fan Frequency Inverter VFD Vector Control 3pH 30kw.3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint.1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System, Montreal. 319 pp.         [Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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