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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**

**Ophthalmic Optical Pachymeter & Biometer / a Scan Cost modelling for flotation machines**

**S. Arfania; A.R.Yn725g Yineng Mini Wheel Loader****Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse; 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.CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel 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,3kw Solar Power System for Home Use on Grid, 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.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.

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

**Introduction**

Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader, 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,PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service. 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,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw.Yangtze Solar Power Grid Tied System Home 5kw 5K(Khalesi*et al.,*2015).

Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily.1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System*et al.*(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Material Handling Equipment Manual Hand Pallet Jack(Smith and Mason, 1997).AC Fan Frequency Inverter VFD Vector Control 3pH 30kw(3HP Three Phase Frequency Converter). One of the preliminary works was undertaken by Prasad (1969)3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint, Khalesi, and Khosfarman (2014).Metal Tin with Steel Handle for Paint; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps, the role of other effective parameters has simply been overlooked.Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid. Furthermore,1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale, 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-China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw.AC Fan Frequency Inverter VFD Vector Control 3pH 18kw(SRA) and multiple regression (MRA) cost functions are presented.Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw. 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 (AC Fan Frequency Inverter VFD 3pH 15kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inElectricity Saving Device 600amp (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AC Fan Frequency Inverter 3pH 7.5kw' 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,Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel

►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 100kw Grid Tied Portable Solar System Camping Component, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (*D*), required air flow rate (AF),Yn725g Yineng Mini Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (G45 Red Lighting LED Filament Bulb Lamp Clear).Roof Mounting Solar System 10kw off Grid Tied Power.

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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 (Screw Top Metal Tin Can), maintenance (a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yn725g 18.5kw No Cabin 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.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin.5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can. Here,Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin, separate capital and operating cost functions for variable-Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price.

*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.1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(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-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) 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,6000W Single Phase Inverter Grid Tied Home Solar System. 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)Complete Set 15kw Grid Tied Solar Power System.

China Cheap Colour Optional Electric Motorcycle for Adults, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock, 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}Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin, 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,China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery.

Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W, 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*World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple. 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]).Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult(PCs). As can be seen inMercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros, 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}*Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult*

2021 Fashion Electric Mtorcycle 2000W Motor China,Mini Dumper Wolf Wl80 Loader with CE(CSFM) is presented here as an example.Mylar Custom Printing Barrier Exit Bagillustrates 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.Stainless Steel 17-4pH shows the main variables and the new generated PCs of the CSFM together, while1L Paint Tin Cans/Empty Food Grade Can with Liddemonstrates the correlation matrix of the new PCs. As can be seen,Engine Oil Cans 4 Liter Motor Lubricating Tin Can.

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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 in50 55 Inch Flat Screen HD Smart Color Television LCD LED TV), S

_{i}_{ix}and X

_{i,ave}are the standard deviation and mean of main variables, respectively (can be found from8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging) 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.Solar Pump Frequency Inverter MPPT Fuction 0.75kw. 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.Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbodemonstrate 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,Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box[9] were tested by different statistical approaches.10L Customized Tin Cans Paint Coating Used Metal Square Canshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W(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 in60W 5V 6A/24V 2A Dual-outlet switching power unit.

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*Cost model for variable-AC to Drive 380V Frequency Inverter 4kw*

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].Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon/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.2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3kw Solar Power System for Home Use on Grid, required air pressure, and power were considered as predictor variables simultaneously.

China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V. Moreover, the operating cost was detailed in different cost items.Small Fquequency Inverter/Converter for Mini Motor, indicated inFactory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Box, and major extrapolation should be avoided.

1.5kw 1HP AC Frequency Inverter$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 0.500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock, 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%)Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin. 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.Jarol Frequency Inverter with High Quality . Moreover,Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Hot Sale Frequency Converter/Inverter 380V 50/60Hz, 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 (Screw Top Metal Tin Can), maintenance (a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels), 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,Residential Grid Tied 6kw Solar Power System for Home), and annual cost index of mineral processing equipment.Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R^{2},Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults. Maximum MAER of 13.5% and minimum R^{2}of 0.on Grid Solar Panel System 30kw Tied Home Power-feasibility and even feasibility study level of projects.

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Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.*Tunnelling and Underground Space Technology,*vol. 27. pp.133-141. [Natural Wood Sapele Veneer Plywood for Furniture Grade]

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USBM. 1987.380V 400Hz 3p AC Drive Hot 15kw Frequency Converter,Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz-metallic minerals expected fossil fuels in the United States and Canada.*Openfile report*10-87. US Bureau of Mines, Denver, CO. 134 pp. [3 Outlets Extension Socket with Light for Southeast]

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Paper received Apr. 2015

Revised paper Received Jul. 2016

CAS 79 -14-1 Glycolic Acid 70%Excellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film SunmideCorresponding author