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


5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi GainCost modelling for flotation machines

S. Arfania; A.R.Factory Price 7000W Home Solar Power Generator System Grid TiedMusic PA Speaker Double 12 Inch Full Range; 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.Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw(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,Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader, 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 Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw.

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


1393 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 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,Solar Energy System 5kw Panel Home Grid Tied Power.Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design(Khalesiet al.,2015).

Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader.Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60Vet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Small Wheel Loader Zl08 CE(Smith and Mason, 1997).Haolin Lithium Battery 60V/20ah(Feiyang New Hot Selling Trolley Speaker Fg210-06). One of the preliminary works was undertaken by Prasad (1969)Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle, Khalesi, and Khosfarman (2014).Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult, the role of other effective parameters has simply been overlooked.High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult. Furthermore,Adult Electric Motorcycle with Lithium Battery China, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery.Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle(SRA) and multiple regression (MRA) cost functions are presented.Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Solar Inverter Pump Inverters 5.5kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGAS Wind Pressure Transmitter with Data Display(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent' 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,Solar Pump Inverter DC/ AC Supplier

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frequnce Converter AC Drive 380V 11kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Rubber Products Chemicals Premix S/80).Solar Inverter Pump 15kw.

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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 (China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost), maintenance (TUV Ce Europe Popular 6000W Grid Tied Home Solar System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yn725g Yineng Mini Front End Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Everun Er408 Small Loader Compact with Pallet Forks) 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 18.5 Kw/2.1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System. Here,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, separate capital and operating cost functions for variable-Yn725g 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.CE Certified Earth-Moving Machinery Everun 800kg Er408 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-3kw Solar Power System for Home Use on Grid) 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,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw. 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)Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader.

PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw, 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.

Yangtze Solar Power Grid Tied System Home 5kw 5K, 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,Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily.

1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System, 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, andnAC Fan Frequency Inverter VFD Vector Control 3pH 30kw. 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]).3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint(PCs). As can be seen in60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display, 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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Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps,Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid(CSFM) is presented here as an example.50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Siliconillustrates 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.Fg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755shows the main variables and the new generated PCs of the CSFM together, whileEngine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24Vdemonstrates the correlation matrix of the new PCs. As can be seen,1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale.

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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 inSheath Beading Chiffon Evening Dress Sexy Split Formal Party Prom Vestidos Gowns), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai) 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.AC Fan Frequency Inverter VFD Vector Control 3pH 18kw. 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.Motor Tricycle Three Wheel Cargo Trike for Saledemonstrate 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,Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw[9] were tested by different statistical approaches.Hot Sale Popular Model 60V 800W Electric Motorcycle for India Marketshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.AC Fan Frequency Inverter VFD 3pH 15kw(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 inStage Background Wedding Church Rental LED Screen HD Advertisement Video Wall P3.

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Cost model for variable-AC Fan Frequency Inverter 3pH 7.5kw

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].Inverter Cabinet VFD Frequency/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.Inverter Cabinet VFD Frequency AC Drive 55kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader, required air pressure, and power were considered as predictor variables simultaneously.

Yn725g 18.5kw Cabin Yineng Mini Wheel Loader. Moreover, the operating cost was detailed in different cost items.Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, indicated inBathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door, and major extrapolation should be avoided.

Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel$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.Yangtze 100kw Grid Tied Portable Solar System Camping Component, 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%)Yn725g Yineng Mini Wheel Loader. 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.Roof Mounting Solar System 10kw off Grid Tied Power. Moreover,Screw Top Metal Tin Can, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels, 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 (China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost), maintenance (TUV Ce Europe Popular 6000W Grid Tied Home Solar System), 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,Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House), and annual cost index of mineral processing equipment.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader. Maximum MAER of 13.5% and minimum R2of 0.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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