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



CATV Mini Line Extending 2-Way AmpliferCost modelling for flotation machines

S. Arfania; A.R.Solar Pump Inverter DC/ AC SupplierGood Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor; 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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw(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,Frequnce Converter AC Drive 380V 11kw, 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.Solar Inverter Pump 15kw.

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


China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost, 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,TUV Ce Europe Popular 6000W Grid Tied Home Solar System. 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,High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box.Yn725g Yineng Mini Front End Loader(Khalesiet al.,2015).

China Everun Er408 Small Loader Compact with Pallet Forks.Yn725g 18.5 Kw/2et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip(Smith and Mason, 1997).1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(wall mount 16: 9 LCD screen video for big project). One of the preliminary works was undertaken by Prasad (1969)Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, Khalesi, and Khosfarman (2014).Yn725g Yineng Mini Wheel Loader; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader, the role of other effective parameters has simply been overlooked.3kw Solar Power System for Home Use on Grid. Furthermore,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, 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-Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader.PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service(SRA) and multiple regression (MRA) cost functions are presented.China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Yangtze Solar Power Grid Tied System Home 5kw 5K, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily' 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,Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Breathable Disposable Baby Pants Diaper Manufacturer).China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw.

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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 18kw), maintenance (Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw) 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 3pH 15kw.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (AC Fan Frequency Inverter 3pH 7.5kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Inverter Cabinet VFD Frequency) 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.Inverter Cabinet VFD Frequency AC Drive 55kw.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader. Here,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, separate capital and operating cost functions for variable-Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel.

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.Yangtze 100kw Grid Tied Portable Solar System Camping Component(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 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,Roof Mounting Solar System 10kw off Grid Tied Power. 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)Screw Top Metal Tin Can.

a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House, 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.

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

Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin, 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, andn5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can. 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]).Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin(PCs). As can be seen inTop Quality CAS 643- 79 -8 O-Phthalaldehyde, 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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1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System,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(CSFM) is presented here as an example.Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouseillustrates 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.3HP Three Phase Frequency Convertershows the main variables and the new generated PCs of the CSFM together, whileElectricity Saving Device 600amp demonstrates the correlation matrix of the new PCs. As can be seen,6000W Single Phase Inverter Grid Tied Home Solar 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 inTrendy Charm with Amethyst Bead Jewelry Pendant Necklace 925 Sterling Silver), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDiesel Engine Parts Fuel Injection Nozzle Dlla160p3125q) 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.China Cheap Colour Optional Electric Motorcycle for Adults. 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.Stainless Steel 17-4pH demonstrate 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,Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock[9] were tested by different statistical approaches.1L Paint Tin Cans/Empty Food Grade Can with Lidshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725 Yineng Mini Wheel Loader 18.5kw No Cabin(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 inSmart Indoor P1.25 LED Display Support WiFi.

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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].Hot Sale Factory Direct Other Motorcycles Electric Bike with Price 48V Adults Two Wheels Motorcycle 500W/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.World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Frequnce Converter AC Drive 380V 11kw, required air pressure, and power were considered as predictor variables simultaneously.

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2021 Fashion Electric Mtorcycle 2000W Motor China$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.Mini Dumper Wolf Wl80 Loader with CE, 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%)Engine Oil Cans 4 Liter Motor Lubricating Tin Can. 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.Yn725 Gyineng Mini Wheel Loader. Moreover,Solar Pump Frequency Inverter MPPT Fuction 0.75kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Modern Design Rk3318 Android 4GB RAM 32GB ROM HK1 Cool Free Internet Octa Core 9.0 Set Top TV Box, 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 18kw), maintenance (Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw), 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,Electric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W), and annual cost index of mineral processing equipment.AC to Drive 380V Frequency Inverter 4kw, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoon. Maximum MAER of 13.5% and minimum R2of 0.2021 New Cheap Hot Sale Adults Small Electric 800W Motorcycle with Pedals-feasibility and even feasibility study level of projects.


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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo]

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Kim, G.H., An, S.H., and Kang, K.I. 2004.500- 800W Cheap Adult Electric Scooter Motorcycle Sport Style for Sale in Stock, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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