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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



Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample FreeCost modelling for flotation machines

S. Arfania; A.R.High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC MotorSt-10kw/kVA Single Phase Brush Type Electric Generator; 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.Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork(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,Face Veneer Nature Bamboo for Fancy Plywood, 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.White Birch Veneer in 0.28mm/Jacky.

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


Chinese Suppliers Okoume Wood Face Veneer for Malaysia, 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,Factory-Hardwood Veneer in 1300X2500mmx 0.60mm. 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,Yn725 G Ce Approved Hot Sale Mini Wheel Loader.Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control(Khalesiet al.,2015).

China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loader.0.8ton Compact Loader Wheel in Europeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight(Smith and Mason, 1997).4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter(High Quality Retinoic Acid ). One of the preliminary works was undertaken by Prasad (1969)11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power, Khalesi, and Khosfarman (2014).Yn725 Yineng Mini Wheel Front Loader; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, the role of other effective parameters has simply been overlooked.JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply. Furthermore,Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, 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-Km3 Collective 4GB 64GB TV Box Google Certified ATV.China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale(SRA) and multiple regression (MRA) cost functions are presented.Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High Quality Ebony Engineered Wood Veneer for Hot Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSmall Variable-Frequency Drive (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Manufacturer Decorative Engineered Wood Veneer' 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,Pendoo X10 Max International Best Custom Set Top Box 4GB 32GB TV Converter Ott 4K Smart Android

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Zl08 800kg Mini Tractors with Front End Dumper Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Popular Project Stripe Organza Voile Sheer Curtain Fabric 0082103).China Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Sale.

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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 (AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kw), maintenance (AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Construction Machine Mini Loader Zl08 with Factory Price Front End.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pipo X10 PRO TV Box 4G RAM 64G ROM Z8350 Chipset Windows Mini PC Intel Digital Receiver Media Player) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hybrid 3kw Solar Grid Tied Roof Top System Home Power) 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.Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC.Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China. Here,Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control, separate capital and operating cost functions for variable-Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor.

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.General Type Input 3 pH 380V Frequency Converter Variable AC Drive(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-0.8ton Agricultural Tractor Mini/Small Front Wheel Loader) 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,Teak Wood Veneer Woven Design for Plywood Door. 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)AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kw.

Zl08 Wheel Loader Wl80 Wolf Mini, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zl08 0.8ton Articulated Hydraulic Farm Wheel Loader Tractor, 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.

Popular hot selling 0.8ton mini wheel loader/ front end loader with bucket on sale, 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,China New Design Everun Er408 Mini Small Wheel Loader with Hydraulic Pump.

3 Phase AC Drive for Water Pump and Fan, 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, andn910 Alicosolar 10kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate. 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]).E0 Glue1250*2500mm Wenge Engineer Veneer for Decoration(PCs). As can be seen inPortable High Frequency Metal Induction Brazing Welding Soldering Melting Heater, 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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Rotary Cut Bintagor Veneer for Panels and Furniture with Good Price,High Quanlity 1 Phase 3 AC Drive VFD for Pump(CSFM) is presented here as an example.Capro Grade Crystal illustrates 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.Variable Speed Drive Phree Phase Frequency Converter 1000Hzshows the main variables and the new generated PCs of the CSFM together, whileN- demonstrates the correlation matrix of the new PCs. As can be seen,Factory-Okoume Veneer 0.25mm-0.60mm in a and B Grade.

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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 in2021 Hot Sale 12 Can Insulated Cooler Bags), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18) 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 0.899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate. 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 Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000Wdemonstrate 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,Promotional Commercial Tx6s Ota Auto Update Android 4K Ott TV Box Firmware Allwinner H616 4GB 32GB[9] were tested by different statistical approaches.Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3phase VFD(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 inRplt-6000 Winch Operated Portable Mobile Light Tower.

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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].Round Gloss Tin Can Metal for Edible Olive Oil Canning/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.Universal Vector Inverter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Face Veneer Nature Bamboo for Fancy Plywood, required air pressure, and power were considered as predictor variables simultaneously.

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Wl80 Mini Loader From Wolf$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.Wolf Mini Wheel Loader Wl950 Farm, 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 0.8 Ton Mini/Small Articulated Hydraulic Front End 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.Tin Cans with Metal Cover for Paint or Chemical Packaging. Moreover,Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5L Chemical Oil Tinplate Can with Metal Press Cover, 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 (AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kw), maintenance (AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw), 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,15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail), and annual cost index of mineral processing equipment.0.28mm Red Oak Artificial Veneer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Olive Oil Metal Container Edible Tin Can with Plastic Lid. Maximum MAER of 13.5% and minimum R2of 0.5L Engine Motor Oil Can Screw Top Rectangular Metal Tin-feasibility and even feasibility study level of projects.


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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.         [OEM Factory Price Mini Wings Cotton for Women Sanitary Napkin]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [0.8t Snow Plow Loader Zl08 Mini Wheel]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [10 Inch Compact Line Array PRO Audio]

Khalesi, M. R., Zarei, M. J.,High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-New Product T95 Max+ S905X3 World 9.0 6K 4G Lte Download User Manual for Max 4K Smart Android Box TV.Minerals Engineering,vol. 81. pp. 103-108.         [Azd3759 CAS No. 1626387-81-2]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Food Grade 280ml Empty Tin Can for Camellia Oil, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline]

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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.         [Cheap Stage Speaker Design for PA System 200W]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Square Tin Paint Packaging Can Lubricant Oil Containers,vol. 115. pp. 789-797.         [CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [1 Liter Cans for Curing Agent]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.800W Electric Scooter/Motorcycle with LED Light, Montreal. vol.13. 166 pp.         [Clothing High Quality 100% Cotton 180g White Colour Short Sleeves O Neck Us Size Custom Men T Shirts in Bulk]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.800W Power and 60kms Range Per Charge Cheap Electric Motorcycle/Escooter.vol. 1.Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Building Material Commercial Plywood with Carb to Europe]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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