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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Erbium-Doped Fiber Amplifier Optical Power Adjustable Cost modelling for flotation machines

S. Arfania; A.R.0.25-1.0mm Hot Sale Natural Red Beech Veneer for FurnitureSolar Energy System 10kw 15kw Grid Tied Hybrid PV; 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.Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch(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,Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults, 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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


Natural Wood Veneer Oak /Cherry/Walnut MDF Board, 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,Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List. 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,Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket.0.3mm Rotary Cut Red Wood Veneer(Khalesiet al.,2015).

Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(Smith and Mason, 1997).Gurjan Veneer Keruing(5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi). One of the preliminary works was undertaken by Prasad (1969)Everun CE Approved 0.8 Ton Front End Loader, Khalesi, and Khosfarman (2014).Empty Lubricant Oil Tin Can Packaging for Motor; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof, the role of other effective parameters has simply been overlooked.2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture. Furthermore,New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port, 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-2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB(SRA) and multiple regression (MRA) cost functions are presented.970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Best Price Food Tin Metal Box Clip Lid Candy Can, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer' 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,2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Rosen 9kw Grid Tied on Solar System to Global Market, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frequency Converter 200HP Three Phases(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Australian Standard 2 Storey Cheap Building Prefab Mobile House Offices).Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for.

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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 (OEM 6kw Home Grid Tied Solar Power System Without Battery), maintenance (Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Cheap Custom Logo Printing Round Metal Cans with Lids) 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.Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid.Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China. Here,Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City, separate capital and operating cost functions for variable-Square Engine Oil Tin Can with Screw Cap Manufacturer Lid.

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.Frequency Converter 60Hz 50Hz 150HP(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-Frequency Converter 60Hz 50Hz 125HP) 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,Frequency Converter 60Hz 50Hz 160HP. 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)Frequency Converter 60Hz 50Hz 60HP.

Frequency Converter 60Hz 50Hz 75HP, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Frequency Converter 75HP Three Phases, 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.

Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle, 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,CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader.

Yn725 Yineng Mini Wheel Loader 18.5kw 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, andnFrequency Converter 50HP Three Phases. 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]).Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale(PCs). As can be seen in800W 60V20ah Brushless Electric Motorcycles, 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 Yineng Mini Wheel Loader 18.5kw Cabin,10HP Three Phase Frequency Converter(CSFM) is presented here as an example.High Back Executive Boss Single Office Sofa Swivel Reception Chairillustrates 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.Polythene Plastic Sheet Making Machineshows the main variables and the new generated PCs of the CSFM together, whileRC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additivesdemonstrates the correlation matrix of the new PCs. As can be seen,957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

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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 inRed/Yellow/Green/Blue/White LED SMD 5730 Chip Cool White Color All Colors Available), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper) 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.Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End. 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.D&B Style Dual 10 Inch Compact Line Array 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,Wl80 Mini Loader with Yanmar Engine[9] were tested by different statistical approaches.Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Batteryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle(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 inUrinary Incontinence Popular Disposable Adult Diaper.

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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].Yn725 Yineng Mini Wheel Loader 18.5kw 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.2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults, required air pressure, and power were considered as predictor variables simultaneously.

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Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor$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.Everun Brand Mini Front End Loader 0.8 Ton Wheel, 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%)Zl08 800kg China Small Garden Tractor with Front Loader Yard. 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.Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults. Moreover,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Bulk Fashion Smart Electric Scooter 60V800W20ah, 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 (OEM 6kw Home Grid Tied Solar Power System Without Battery), maintenance (Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale), 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,962 Complete Solar System 40kw on Grid Home with High Quality), and annual cost index of mineral processing equipment.off Grid 20kw Solar System 20 Kw Panel Kit, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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