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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**

**Vera12 New Design 800watts 12" Audio System Line ArrayCost modelling for flotation machines**

**S. Arfania; A.R.1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult****5GHz 23dBi Dual Polarized Panel Antenna ; 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.Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal(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,Hot Smart Electric Scooter 60V800W Power Motor with USB, 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.Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike.

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

**Introduction**

Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W, 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,China Tl08 Mini Wheel Loader with Low Price for Sale. 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,Er08 Farm Mini Loader with Standard Bucket for Sale.Yn725 Yineng Mini Wheel Loader 18.5kw(Khalesi*et al.,*2015).

Ce Approved Mini Loader with Road Sweeper.2386 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder(Smith and Mason, 1997).Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use(8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light). One of the preliminary works was undertaken by Prasad (1969)Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied, Khalesi, and Khosfarman (2014).60V/72V 1200W Electric Scooter with Tianneng Battery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid, the role of other effective parameters has simply been overlooked.Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System. Furthermore,Metal Cans 0.925 Liter Tin Barrel for Packaging Container, 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-Frequency Inverter Pump AC Drive Price.Frequency Inverter VFD AC Drive(SRA) and multiple regression (MRA) cost functions are presented.Power Frequency Converter 60Hz 50Hz Price. 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 (Frequency Converter for Water Pump, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCe Approved 10 Inch Automatic High Effective Ultrasound Bone Densitometer (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Power Frequency Converter AC Drive Inverter' 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,Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sell 43 Inch LED TV Smart with High Quality and Good Price for UK Market CE Available).850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage.

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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 (Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling), maintenance (Cheap Smart Lady's Electric Scooter 60V800W) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lady Scooter Motorcycle 2.5 16 Tire Custom Bike) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift) 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.Yn725 Yineng Mini Wheel Loader 18.5kw.Wheel Loader Mini Wolf Wl80 with Forks. Here,Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System, separate capital and operating cost functions for variable-Wolf Wl80 Mini Radlader Hoflader with Forks in Farm.

*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.High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base(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-L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box) 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,Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export. 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)Big 4000W 70V Electric Scooter.

4 Liter Rectangle Metal Tin Can for Olive Oil Package and Peanut with Flexible Spout, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (18L Square Metal Tin Cans with Handle and Lid for Oil, 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}Glue Tin Can with Plastic Lid / Square Metal Paint Sizes, 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,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service.

Grid Tied 30kw Solar PV System for Shingle Roof, 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*Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Sale. 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]).Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase(PCs). As can be seen inChina Supplier EEC and EPA Approved 1500cc Quadski, 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.

_{n}*off Grid 5kw 10kw Solar Power System*

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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.Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Boxshows the main variables and the new generated PCs of the CSFM together, while1L High End Glass Vodka Wine Bottle with Matte Black Finishdemonstrates the correlation matrix of the new PCs. As can be seen,Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale.

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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 in2021 Hot Sale China Suppliers High Lumen Solar Garden Lights 15W), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found fromIP68 8W-42W Surface Mounted Multi-Color LED Underwater Swimming Light) 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.Yn725g Approved Hot Sale Mini Wheel Loader Yn725. 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.PA12 Transparent Polyamide with Anti-UV Granulesdemonstrate 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,Er08 New CE Approved Small Shovel Loader[9] were tested by different statistical approaches.Best Price Sab-500 Ophtalmic Ab Scanshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader(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 inGolden Aluminum Lid 20g Frosted Clear Face Cream Jar.

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*Cost model for variable-Hot Sale Mini Wheel Loader Yn725g*

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].0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm/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.Low Frequency Inverter AC Drive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Smart Electric Scooter 60V800W Power Motor with USB, required air pressure, and power were considered as predictor variables simultaneously.

Frequency Inverter Converter 50Hz 60Hz. Moreover, the operating cost was detailed in different cost items.Single Phase Mini AC DC Motor Speed Controller, indicated inPA Speaker Sound System Dual 8'' Two-Way Line Array, and major extrapolation should be avoided.

Frequency Inverter Pump AC Drive Price$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.Jarol Frequency Inverter JAC200 3 Phase 380V 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%)Inverter. 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.AC Drive Inverter Low Frequency Power. Moreover,0.75kw Output Single Phase AC Converter Frequency Inverter VFD Pump, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (AC Drive Variable Drive, 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 (Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling), maintenance (Cheap Smart Lady's Electric Scooter 60V800W), 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,China AC Drive Manufacturers), and annual cost index of mineral processing equipment.China AC Drive Frequency Inverter Manufacturer Supplier, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Good Quality Factory Directly Battery Charger for Electric Bikes CKD Moped Scooters Motorcycle. Maximum MAER of 13.5% and minimum R^{2}of 0.1500W Electric Motorcycle-feasibility and even feasibility study level of projects.

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18L Square Metal Tin Cans with Handle and Lid for Oil, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-7.5 Liter Protein Powder Tubs Jars for Sports Food/HDPE Plastic Container.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [Wood Woven and Strand Bamboo Veneer Sheets]

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USBM. 1987.5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container,Yn725g Hot Sale Mini Wheel Loader-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [SAE ASTM Grade D A283gr. Construction Material Q235B Steel Sheet Alloy Mild Q235D Plate Flat]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

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