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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.Solar Inverter Pump Inverters 5.5kw(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,10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent, 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 0.350ml Brake Fluid Glue Tin Bottle.

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

Introduction

9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint, 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,Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD. 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,6000W Inverter Grid Tied Home Solar Energy System Without Battery.Solar Pump Inverter DC/ AC Supplier(Khalesiet al.,2015).

DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw.Frequnce Converter AC Drive 380V 11kwet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Intelligent Power Saver for Industry Use(Smith and Mason, 1997).Solar Inverter Pump 15kw(Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car). One of the preliminary works was undertaken by Prasad (1969)China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost, Khalesi, and Khosfarman (2014).TUV Ce Europe Popular 6000W Grid Tied Home Solar System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box, the role of other effective parameters has simply been overlooked.Yn725g Yineng Mini Front End Loader. Furthermore,China Everun Er408 Small Loader Compact with Pallet Forks, 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-Yn725g 18.5 Kw/2.1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(SRA) and multiple regression (MRA) cost functions are presented.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader. 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 (Yn725g Yineng Mini Wheel Loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader' 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 Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yangtze Solar Power Grid Tied System Home 5kw 5K, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Practical Rental P7.62 Full Color LED Advertising Display Screen).1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System.

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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 (AC Fan Frequency Inverter VFD Vector Control 3pH 30kw), maintenance (3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Metal Tin with Steel Handle for Paint.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid) 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.1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale.China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw. Here,AC Fan Frequency Inverter VFD Vector Control 3pH 18kw, separate capital and operating cost functions for variable-Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw.

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.AC Fan Frequency Inverter VFD 3pH 15kw(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-AC Fan Frequency Inverter 3pH 7.5kw) 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,Inverter Cabinet VFD Frequency. 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)Inverter Cabinet VFD Frequency AC Drive 55kw.

Yn725g 18.5kw Cabin 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 (Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, 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.

Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel, 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,Yangtze 100kw Grid Tied Portable Solar System Camping Component.

Yn725g Yineng Mini Wheel Loader, 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, andnRoof Mounting Solar System 10kw off Grid Tied Power. 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]).Screw Top Metal Tin Can(PCs). As can be seen inMotor Tricycle Three Wheel Cargo Trike for Sale, 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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Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader(CSFM) is presented here as an example.2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPAillustrates 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.Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMSshows the main variables and the new generated PCs of the CSFM together, whileBathroom 8mm Glass Full Arc Quadrant Enclosed Shower Doordemonstrates the correlation matrix of the new PCs. As can be seen,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader.

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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 inTungsten Carbide Wire Drawing Dies), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush) 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 0.5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can. 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.2.4/ 5GHz 10dBi Rubber WiFi Antennademonstrate 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,Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin[9] were tested by different statistical approaches.Dual 10 " 600W Line Array PA Professional Speaker shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price(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 inChinese Cheap Bias off Road Tyres OTR Loader Excavator Mining Dozer Grader Port Tire.

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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].Full HD Media Player Minix Neo N42c-4 N4200 4G 32g Internet Games Online Play Racing Windows 10 Smart Set Top Box Support Google Apk Install/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.6000W Single Phase Inverter Grid Tied Home Solar System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent, required air pressure, and power were considered as predictor variables simultaneously.

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Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock$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.Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin, 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%)China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery. 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.Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W. Moreover,World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult, 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 (AC Fan Frequency Inverter VFD Vector Control 3pH 30kw), maintenance (3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint), 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,Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult), and annual cost index of mineral processing equipment.2021 Fashion Electric Mtorcycle 2000W Motor China, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Mini Dumper Wolf Wl80 Loader with CE. Maximum MAER of 13.5% and minimum R²of 0.Engine Oil Cans 4 Liter Motor Lubricating Tin Can-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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