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



Factory Price 1325 Atc CNC Router Automatic Tool Change MachineryCost modelling for flotation machines

S. Arfania; A.R.502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home UseClosed Canvas Box 2 Ton Cargo Tricycle; 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.2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use(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,HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB, 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.Innopack 5L Paint Engine Oil Tin Can with Plastic Handle.

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


Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price, 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,Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model. 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,Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart.Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver(Khalesiet al.,2015).

Variable Speed Inverter China Frequency Converter AC.Natural Material Veneer Hand Made Woven for Wall Decorationet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Best Quality Skin Care Pure Tretinoin 302- 79 -4(Smith and Mason, 1997).458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use(Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub). One of the preliminary works was undertaken by Prasad (1969)5kw Single Phase Home Grid Tied Solar Power System, Khalesi, and Khosfarman (2014).Hot Sale 15kw Grid Tied Solar Photovoltaic Power System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5kw Inverter Grid Tied Solar Power System for Home, the role of other effective parameters has simply been overlooked.975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof. Furthermore,Rosen 55kw Grid Tied on Solar System to Global Market, 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-Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale.Hot Cheap Electric Scooter 60V800W20ah for Adult From China(SRA) and multiple regression (MRA) cost functions are presented.Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inC Band Satellite TV Antenna 150cm(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader' names:

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Indoor P4.81 Fixed Installation Full Color LED Advertisement Display Screen).Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives.

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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 (Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food), maintenance (Customized Metal Tea Canister Food Packaging Box Round Can Tin) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Square Tin with Airtight Lever Lid for Tea.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sale Factory Direct Easy Open Tin Can for Food Cannery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof) 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.0.15mm Rosewood Veneer.Interior Decorative Woven Veneer Customized Style. Here,4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780, separate capital and operating cost functions for variable-Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket.

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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(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-Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket) 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,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. 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)Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer, 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.

Wolf Baumaschinen Zl08 Radlader with Canopy, 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,Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike.

Quarter Cut Ebano Makassar Chapa De Madera PARA Cocina Puerta, 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, andn0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture. 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]).Farm Tractors Front End Loader Mini Small Ce Zl08 Wheel with Quick Hitch(PCs). As can be seen inMetal Tin with Steel Handle for Paint, 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,Natural Wood Veneer Oak /Cherry/Walnut MDF Board(CSFM) is presented here as an example.Best Selling 4X4 Farm ATVillustrates 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.Portable On-Site Pipe Tube Chamfering Chamfer Machineshows the main variables and the new generated PCs of the CSFM together, while4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducerdemonstrates the correlation matrix of the new PCs. As can be seen,Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List.

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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 inNew Multifunction Large Laptop Backpack 17 Inch Waterproof Outdoor Travel Bag Fashion Business Computer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike) 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 0.0.3mm Rotary Cut Red Wood Veneer. 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.High Purity Amino Acid L-Arginine Powderdemonstrate 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,Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm[9] were tested by different statistical approaches.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Yn725 Yineng Mini Wheel Loader 18.5kw 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 inWaist Bag with Water Bottle Fabric Sandwish Mesh PVC Material Insects Designed.

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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].Everun CE Approved 0.8 Ton Front End Loader/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.Empty Lubricant Oil Tin Can Packaging for Motor; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB, required air pressure, and power were considered as predictor variables simultaneously.

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New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port$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 0.2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, 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%)Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB. 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.970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof. Moreover,Best Price Food Tin Metal Box Clip Lid Candy Can, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer, 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 (Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food), maintenance (Customized Metal Tea Canister Food Packaging Box Round Can Tin), 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,High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box), and annual cost index of mineral processing equipment.High Efficicency Roof Mounting Grid Tied Home Solar Energy System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use. Maximum MAER of 13.5% and minimum R2of 0.969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China.Rosen 9kw Grid Tied on Solar System to Global Market,vol. 46, no.6. pp. 559-562.         [Modern Simple Living Room L Shape Corner Recliner Sectional Sofa]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Best Seller Cheap Wood Panel Meeting Table Conference Room Furniture]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [20" Inch Replica Aluminum Alloy Wheels for Astonmartin]

Khalesi, M. R., Zarei, M. J.,502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Frequency Converter 200HP Three Phases.Minerals Engineering,vol. 81. pp. 103-108.         [Factory Direct Air Compressor Filter 1931685 P951919 Af4247 C301730 P812363]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [China Best Price Agriculture Fertilizer with Nitrogen 21%]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Veneer Engineer Poplar Cross Grain 0.50mm]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments,vol. 115. pp. 789-797.         [Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [5L Engine Motor Oil Can Screw Top Rectangular Metal Tin]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.High Quality Cheap Custom Logo Printing Round Metal Cans with Lids, Montreal. vol.13. 166 pp.         [6W /M to 12W/M 12V/24V DC Warm White LED Strip]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Newest Technology 1325 Laser Cutting Machine for Metal and Nonmetals]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Frequency Converter 60Hz 50Hz 75HP.vol. 1.Frequency Converter 75HP Three Phases, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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