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



High Purity Amino Acid L-Arginine PowderCost modelling for flotation machines

S. Arfania; A.R.Chinese Factory Tin Can with Brush for Glue and Sealants AdgesivesFactory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader; 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.Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food(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,Customized Metal Tea Canister Food Packaging Box Round Can Tin, 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.Square Tin with Airtight Lever Lid for Tea.

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


Hot Sale Factory Direct Easy Open Tin Can for Food Cannery, 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,968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof. 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,0.15mm Rosewood Veneer.Interior Decorative Woven Veneer Customized Style(Khalesiet al.,2015).

4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780.Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucketet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Disc Atc Automatic Tools Changer Wood CNC Router Woodworking Machine(Smith and Mason, 1997).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK). One of the preliminary works was undertaken by Prasad (1969)Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket, Khalesi, and Khosfarman (2014).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, the role of other effective parameters has simply been overlooked.0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage. Furthermore,Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer, 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-Wolf Baumaschinen Zl08 Radlader with Canopy.Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike(SRA) and multiple regression (MRA) cost functions are presented.Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGood Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch' 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,Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.3mm Rotary Cut Red Wood Veneer, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Surveillance 600tvl IR waterproof Mini Dome CCTV Security Camera).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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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 (Gurjan Veneer Keruing), maintenance (Everun CE Approved 0.8 Ton Front End Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Empty Lubricant Oil Tin Can Packaging for Motor.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture) 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.New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port.2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use. Here,Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB, separate capital and operating cost functions for variable-970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof.

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.Best Price Food Tin Metal Box Clip Lid Candy Can(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-3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer) 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,High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box. 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)High Efficicency Roof Mounting Grid Tied Home Solar Energy System.

488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, 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.

2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China, 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,Rosen 9kw Grid Tied on Solar System to Global Market.

Frequency Converter 200HP Three Phases, 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, andnHot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for. 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]).OEM 6kw Home Grid Tied Solar Power System Without Battery(PCs). As can be seen inModern Simple Living Room L Shape Corner Recliner Sectional Sofa, 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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2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults,800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments(CSFM) is presented here as an example.20" Inch Replica Aluminum Alloy Wheels for Astonmartinillustrates 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.Factory Direct Air Compressor Filter 1931685 P951919 Af4247 C301730 P812363shows the main variables and the new generated PCs of the CSFM together, whileChina Best Price Agriculture Fertilizer with Nitrogen 21%demonstrates the correlation matrix of the new PCs. As can be seen,High Quality Cheap Custom Logo Printing Round Metal Cans with Lids.

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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 inEaa International Cheap 20FT 40FT LCL FCL Sea Freight Forwarder Shipping Rates From China), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAl-Gw6 China Best Adult Electric Motorcycle Scooter for Sale) 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.Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China. 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.Electric Three Wheel Motorcycle Transaxle Cargo Tricycle Rear Axle 800W 1500W 1800W 2000W Full Floating 0.5ton~1.2ton Accessoriesdemonstrate 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,Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City[9] were tested by different statistical approaches.Sp215 Sound Prince Style Speaker Acousticshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Square Engine Oil Tin Can with Screw Cap Manufacturer Lid(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 inRoman Roof Tile Making Machine Eagle Steel Concrete.

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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].Frequency Converter 60Hz 50Hz 125HP/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.Frequency Converter 60Hz 50Hz 160HP; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Customized Metal Tea Canister Food Packaging Box Round Can Tin, required air pressure, and power were considered as predictor variables simultaneously.

Frequency Converter 60Hz 50Hz 60HP. Moreover, the operating cost was detailed in different cost items.Frequency Converter 60Hz 50Hz 75HP, indicated inLong Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse, and major extrapolation should be avoided.

Frequency Converter 75HP Three Phases$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.Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle, 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%)CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Moreover,Frequency Converter 50HP Three Phases, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale, 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 (Gurjan Veneer Keruing), maintenance (Everun CE Approved 0.8 Ton Front End Loader), 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,3HP Three Phase Frequency Converter), and annual cost index of mineral processing equipment.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,10HP Three Phase Frequency Converter. Maximum MAER of 13.5% and minimum R2of 0.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate-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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