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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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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8Cost modelling for flotation machines

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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.Hot Sale Factory Direct Easy Open Tin Can for Food Cannery(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,968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, 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 0.0.15mm Rosewood Veneer.

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


Introduction

Interior Decorative Woven Veneer Customized Style, 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,4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780. 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,Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Khalesiet al.,2015).

Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket.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 Professional Audio PA Subwoofer Component Speakers(Smith and Mason, 1997).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Double 10'' Compact Active Line Array). One of the preliminary works was undertaken by Prasad (1969)0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage, Khalesi, and Khosfarman (2014).Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Wolf Baumaschinen Zl08 Radlader with Canopy, the role of other effective parameters has simply been overlooked.Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike. Furthermore,Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta, 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-0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture.Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch(SRA) and multiple regression (MRA) cost functions are presented.Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults. 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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Natural Wood Veneer Oak /Cherry/Walnut MDF Board' 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Gurjan Veneer Keruing, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Everun CE Approved 0.8 Ton Front End Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Stoneware Ceramic Coffee Mug).Empty Lubricant Oil Tin Can Packaging for Motor.

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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 (974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof), maintenance (2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB) 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.970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof.Best Price Food Tin Metal Box Clip Lid Candy Can. Here,3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer, separate capital and operating cost functions for variable-High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box.

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.High Efficicency Roof Mounting Grid Tied Home Solar Energy 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-488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use) 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,969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof. 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)2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China.

Rosen 9kw Grid Tied on Solar System to Global Market, 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 200HP 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 Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for, 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,OEM 6kw Home Grid Tied Solar Power System Without Battery.

Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale, 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, andn2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults. 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]).800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments(PCs). As can be seen inComplete Set 15kw Grid Tied Solar Power System, 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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Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid,Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China(CSFM) is presented here as an example.Fatory Supply Thiosemicarbazide CAS 79 -19-6illustrates 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.Erbium-Doped Fiber Amplifier Optical Power Adjustable shows the main variables and the new generated PCs of the CSFM together, whileSolar Energy System 10kw 15kw Grid Tied Hybrid PVdemonstrates the correlation matrix of the new PCs. As can be seen,Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City.

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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 inFactory Enamel Logo Metal Lapel Pin Fasteners for Badges), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBl-Xgw Electric Motorcycle) 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.Frequency Converter 60Hz 50Hz 150HP. 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.Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidatedemonstrate 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,Frequency Converter 60Hz 50Hz 125HP[9] were tested by different statistical approaches.High Back Executive Boss Single Office Sofa Swivel Reception Chairshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Converter 60Hz 50Hz 160HP(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 in0.6m Aluminum Profile LED Suspended Bluetooth Speaker Shop Light.

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Cost model for variable-Frequency Converter 60Hz 50Hz 60HP

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].Frequency Converter 60Hz 50Hz 75HP/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.Frequency Converter 75HP Three Phases; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, required air pressure, and power were considered as predictor variables simultaneously.

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Yn725 Yineng Mini Wheel Loader 18.5kw Cabin$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.Frequency Converter 50HP Three Phases, 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%)Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale. 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.3HP Three Phase Frequency Converter. 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 (10HP Three Phase Frequency Converter, 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 (974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof), maintenance (2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture), 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,957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate), and annual cost index of mineral processing equipment.China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls, 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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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under aWaterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting