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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible AntennaCost modelling for flotation machines

S. Arfania; A.R.Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HDCATV Mini Line Extending 2-Way Amplifer; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.6000W Inverter Grid Tied Home Solar Energy System Without Battery(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,Solar Pump Inverter DC/ AC Supplier, 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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw.

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


Frequnce Converter AC Drive 380V 11kw, 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,Solar Inverter Pump 15kw. 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 Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost.TUV Ce Europe Popular 6000W Grid Tied Home Solar System(Khalesiet al.,2015).

High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box.Yn725g Yineng Mini Front End Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display(Smith and Mason, 1997).China Everun Er408 Small Loader Compact with Pallet Forks(Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor). One of the preliminary works was undertaken by Prasad (1969)Yn725g 18.5 Kw/2, Khalesi, and Khosfarman (2014).1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, the role of other effective parameters has simply been overlooked.Yn725g Yineng Mini Wheel Loader. Furthermore,CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader, 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-3kw Solar Power System for Home Use on Grid.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw(SRA) and multiple regression (MRA) cost functions are presented.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inwall mount 16: 9 LCD screen video for big project(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw' 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,3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Metal Tin with Steel Handle for Paint, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cold-drawn wire stem CH1t Half Hollow Rivets Phosphate Coated Steel Wire).Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid.

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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 (1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale), maintenance (China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,AC Fan Frequency Inverter VFD Vector Control 3pH 18kw.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (AC Fan Frequency Inverter VFD 3pH 15kw) 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.AC Fan Frequency Inverter 3pH 7.5kw.Inverter Cabinet VFD Frequency. Here,Inverter Cabinet VFD Frequency AC Drive 55kw, separate capital and operating cost functions for variable-Yn725g 18.5kw Cabin Yineng Mini Wheel Loader.

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 No 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-Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel) 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,Yangtze 100kw Grid Tied Portable Solar System Camping Component. 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)Yn725g Yineng Mini Wheel Loader.

Roof Mounting Solar System 10kw off Grid Tied Power, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Screw Top Metal Tin Can, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,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, 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).

whereCeis the estimated cost,Cathe actual cost, andnYn725g 18.5kw No Cabin Yineng Mini Wheel Loader. 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]).Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin(PCs). As can be seen inPlastic Grey Color Masterbatch, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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 Gyineng Mini Wheel Loader 18.5kw Non -Cabin,Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price(CSFM) is presented here as an example.Ophthalmic Optical Pachymeter & Biometer / a Scan illustrates 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.Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouseshows the main variables and the new generated PCs of the CSFM together, while3HP Three Phase Frequency Converterdemonstrates the correlation matrix of the new PCs. As can be seen,1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inHigh Capacity Output Automatic Brick Making Machine in Sri Lanka), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros) 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 0.6000W Single Phase Inverter Grid Tied Home Solar System. 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.Mylar Custom Printing Barrier Exit Bagdemonstrate 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,Complete Set 15kw Grid Tied Solar Power System[9] were tested by different statistical approaches.Stainless Steel 17-4pH shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Cheap Colour Optional Electric Motorcycle for Adults(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 in7 Inch Full HD LCD Remote Control Download Ad Player Desktop Digital Signage.

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Cost model for variable-Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock

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].Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin/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.


Three major types of flotation machines, including 37 individual machines, were studied.China Electric Mobility Scooter Motorcycle with Lights/Electric Bicycle Moped Fast Delivery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solar Pump Inverter DC/ AC Supplier, required air pressure, and power were considered as predictor variables simultaneously.

Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W. Moreover, the operating cost was detailed in different cost items.World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple, indicated inVFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine, and major extrapolation should be avoided.

Factory Price Wholesale Vespa Electric Scooter Motorcycle Adult$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.Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult, 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%)2021 Fashion Electric Mtorcycle 2000W Motor China. In the MRA cases, this property is owed to the SFM (3.05%).


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.Mini Dumper Wolf Wl80 Loader with CE. Moreover,Engine Oil Cans 4 Liter Motor Lubricating Tin Can, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725 Gyineng Mini Wheel Loader, 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 (1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale), maintenance (China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw), 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,Solar Pump Frequency Inverter MPPT Fuction 0.75kw), and annual cost index of mineral processing equipment.Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W. Maximum MAER of 13.5% and minimum R2of 0.AC to Drive 380V Frequency Inverter 4kw-feasibility and even feasibility study level of projects.


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Khalesi, M. R., Zarei, M. J.,Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-China Hot Sale Single Phase Variable Frequency Inverter 1.5kw 220V.Minerals Engineering,vol. 81. pp. 103-108.         [10L Customized Tin Cans Paint Coating Used Metal Square Can]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Small Fquequency Inverter/Converter for Mini Motor, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Ce Certification Plastic Water Bottle Use Yellow Masterbatch]

Lashgari, A.1.5kw 1HP AC Frequency Inverter, A.R. 2013.500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock,Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin,vol. 23. pp. 441-446.         [Full Container Amazon Shipment Guangzhou to USA DDP DDU Shipping Agent]

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Mular, A.L. 1982.China Hot Sale Frequency Converter/Inverter 380V 50/60Hz.Residential Grid Tied 6kw Solar Power System for Home.Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult, Montreal. 265 pp.         [Resealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bags]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults.on Grid Solar Panel System 30kw Tied Home Power.Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult, Montreal. 319 pp.         [Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Sliding Mechanism]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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