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*On-lineÂ version*Â ISSN2411-9717

*PrintÂ version*Â ISSN2225-6253

### J. S. Afr. Inst. Min. Metall.Â vol.117Â n.1Â JohannesburgÂ Jan.Â 2017

#### http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

**GENERAL PAPERS**

**100% Copper Wire Stc Series Three Phase AC Dynamo/Generator / Alternator Cost modelling for flotation machines**

**S. Arfania; A.R.High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box****Plastic Grey Color Masterbatch; M.R. Khalesi**

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.Yn725g Yineng Mini Front End Loader(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,China Everun Er408 Small Loader Compact with Pallet Forks, 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 R^{2}, 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 R^{2}of 0.Yn725g 18.5 Kw/2.

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

**Introduction**

1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, 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,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader. 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,Yn725g Yineng Mini Wheel Loader.CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader(Khalesi*et al.,*2015).

3kw Solar Power System for Home Use on Grid.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Complete Set 15kw Grid Tied Solar Power System(Smith and Mason, 1997).Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader(Top Quality CAS 643- 79 -8 O-Phthalaldehyde). One of the preliminary works was undertaken by Prasad (1969)PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service, Khalesi, and Khosfarman (2014).China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Yangtze Solar Power Grid Tied System Home 5kw 5K, the role of other effective parameters has simply been overlooked.Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily. Furthermore,1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System, 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-AC Fan Frequency Inverter VFD Vector Control 3pH 30kw.3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint(SRA) and multiple regression (MRA) cost functions are presented.Metal Tin with Steel Handle for Paint. 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 (Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOphthalmic Optical Pachymeter & Biometer / a Scan (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid' 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,AC Fan Frequency Inverter VFD 3pH 15kw

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,AC Fan Frequency Inverter 3pH 7.5kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Inverter Cabinet VFD Frequency(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Concrete Blocks Machine/ Block Making Plant).Inverter Cabinet VFD Frequency AC Drive 55kw.

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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 (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader), maintenance (Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yangtze 100kw Grid Tied Portable Solar System Camping Component) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yn725g Yineng Mini Wheel Loader) 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.Roof Mounting Solar System 10kw off Grid Tied Power.Screw Top Metal Tin Can. Here,a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels, separate capital and operating cost functions for variable-Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House.

*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 18.5kw Cabin 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-Yn725g 18.5kw No Cabin Yineng Mini 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,Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin. 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:

where*Y*refers to capital or operating costs,*X*defines an independent variable (one of the machine predictor variables), and*a*and*b*are constant values (parameters)5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can.

Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price, Khalesi, and Khosfarman, 2014).

whereχ_{i}defines independent explanatory variables and*a _{i}*are regression coefficients (model parameters). As was mentioned, independency of

*x*variables 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.

_{i}1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, R^{2}, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R^{2}is 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]:

where*X _{obs}*is the observed value,

*x*the estimated value at time/place

_{e}*I,*and n,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.

6000W Single Phase Inverter Grid Tied Home Solar System, analysis of residuals, tests of MAER values and evaluation of R^{2}were 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).

where*C _{e}*is the estimated cost,

*C*the actual cost, and

_{a}*n*Complete Set 15kw Grid Tied Solar Power System. 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 Cheap Colour Optional Electric Motorcycle for Adults(PCs). As can be seen in3HP Three Phase Frequency Converter, neither*X _{1}*nor

*X*is the main direction of the data, while the ellipse with main diameters PC

_{2}_{1}and PC

_{2}matches 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 and

*X*as Equations [5] and [6]:

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In this research, main variables of*X _{1}, X_{2}*.

*.. X*were 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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Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin,China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery(CSFM) is presented here as an example.Digital Display Superior 316L integrated Pressure Transducerillustrates 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.Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneirosshows the main variables and the new generated PCs of the CSFM together, whileDiesel Engine Parts Fuel Injection Nozzle Dlla160p3125qdemonstrates the correlation matrix of the new PCs. As can be seen,Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W.

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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)

where*X _{i}*are main technical variables (like power or required air),

*a*are calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inEads Tph700 Two Way Radio Surveillance Kit Acoustic Tube Earpiece for Bd552), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found from1L Paint Tin Cans/Empty Food Grade Can with Lid) 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.Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult. The R^{2}is about 0.94 for both cases,*i.e.*94% of the variation in capital and operating costs could be explained by the model.VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machinedemonstrate 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,Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult[9] were tested by different statistical approaches.8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packagingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Fashion Electric Mtorcycle 2000W Motor China(a1, a_{2}, a_{3}) and new intercept (a_{0}) 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 in2021 Top Quality UPVC Vinyl Casement Sliding Windows and Doors with Fly Screen.

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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].Engine Oil Cans 4 Liter Motor Lubricating Tin Can/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.Yn725 Gyineng Mini Wheel Loader; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Everun Er408 Small Loader Compact with Pallet Forks, required air pressure, and power were considered as predictor variables simultaneously.

Solar Pump Frequency Inverter MPPT Fuction 0.75kw. Moreover, the operating cost was detailed in different cost items.Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box, indicated in10L Customized Tin Cans Paint Coating Used Metal Square Can, and major extrapolation should be avoided.

Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W$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.AC to Drive 380V Frequency Inverter 4kw, 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 R^{2}values 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%)Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon. 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.2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals. Moreover,China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Small Fquequency Inverter/Converter for Mini Motor, 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 (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader), maintenance (Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader), 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,1.5kw 1HP AC Frequency Inverter), and annual cost index of mineral processing equipment.500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin. Maximum MAER of 13.5% and minimum R^{2}of 0.Jarol Frequency Inverter with High Quality -feasibility and even feasibility study level of projects.

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USBM. 1987.Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China,Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [Desktop RAM DDR3 4GB]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

Polyamide Fabric PAWolf Mini Wheel Loader Wl950 FarmCorresponding author