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



High Quality Retinoic Acid Cost modelling for flotation machines

S. Arfania; A.R.Chinese Suppliers Okoume Wood Face Veneer for MalaysiaSmall Variable-Frequency Drive ; 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-Hardwood Veneer in 1300X2500mmx 0.60mm(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,Yn725 G Ce Approved Hot Sale Mini Wheel Loader, 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.Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control.

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


China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loader, 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,0.8ton Compact Loader Wheel in Europe. 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,4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter.11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power(Khalesiet al.,2015).

Yn725 Yineng Mini Wheel Front Loader.Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag(Smith and Mason, 1997).JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply(Electricity Power Reducer ). One of the preliminary works was undertaken by Prasad (1969)Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, Khalesi, and Khosfarman (2014).Km3 Collective 4GB 64GB TV Box Google Certified ATV; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale, the role of other effective parameters has simply been overlooked.Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord. Furthermore,High Quality Ebony Engineered Wood Veneer for Hot Sale, 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-China Manufacturer Decorative Engineered Wood Veneer.Reliable Producer Everun Supply Er08 CE Approved 2021 Hot Sale Compact Mini Wheel Loader with Bucket(SRA) and multiple regression (MRA) cost functions are presented.Gabon Okoume Veneer a B C D Grade From Factory to India. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Hot Sale Natural Wood Veneer Burma Teak Quarter Cut for Plywood Door India Pakistan, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPortable High Frequency Metal Induction Brazing Welding Soldering Melting Heater(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Hot Sale Birch Wood Veneer Core for Plywood' 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,AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kw

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Construction Machine Mini Loader Zl08 with Factory Price Front End(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Gummy Bucket with Double Pins).Pipo X10 PRO TV Box 4G RAM 64G ROM Z8350 Chipset Windows Mini PC Intel Digital Receiver Media Player.

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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 (Hybrid 3kw Solar Grid Tied Roof Top System Home Power), maintenance (Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor) 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.General Type Input 3 pH 380V Frequency Converter Variable AC Drive.0.8ton Agricultural Tractor Mini/Small Front Wheel Loader. Here,Teak Wood Veneer Woven Design for Plywood Door, separate capital and operating cost functions for variable-AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kw.

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.Zl08 Wheel Loader Wl80 Wolf Mini(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-Zl08 0.8ton Articulated Hydraulic Farm Wheel Loader Tractor) 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,Popular hot selling 0.8ton mini wheel loader/ front end loader with bucket on sale. 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)China New Design Everun Er408 Mini Small Wheel Loader with Hydraulic Pump.

3 Phase AC Drive for Water Pump and Fan, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (910 Alicosolar 10kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate, 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.

E0 Glue1250*2500mm Wenge Engineer Veneer for Decoration, 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,Wood Woven and Strand Bamboo Veneer Sheets.

Rotary Cut Bintagor Veneer for Panels and Furniture with Good Price, 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, andnHigh Quanlity 1 Phase 3 AC Drive VFD for Pump. 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]).Factory-Okoume Veneer 0.25mm-0.60mm in a and B Grade(PCs). As can be seen inCapro Grade Crystal , 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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899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate,Promotional Commercial Tx6s Ota Auto Update Android 4K Ott TV Box Firmware Allwinner H616 4GB 32GB(CSFM) is presented here as an example.N- 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.Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubiclesshows the main variables and the new generated PCs of the CSFM together, while2.4- 5GHz MIMO Omni Antenna with 2.4G Network Systemdemonstrates the correlation matrix of the new PCs. As can be seen,3phase VFD.

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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 inQt4-23A Semi-Automatic Cement Block Making Machinery), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromElectric Scooter Motorcycle/Electric Moto Popular Motorcycle CE Approval 1000W) 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.Round Gloss Tin Can Metal for Edible Olive Oil Canning. 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.Replica Aluminum Alloy Wheels for BMWdemonstrate 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,Universal Vector Inverter[9] were tested by different statistical approaches.10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive(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 inGold Medal Running Soccer Ribbon.

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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].Wl80 Mini Loader From Wolf/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.Wolf Mini Wheel Loader Wl950 Farm; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725 G Ce Approved Hot Sale Mini Wheel Loader, required air pressure, and power were considered as predictor variables simultaneously.

Zl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loader. Moreover, the operating cost was detailed in different cost items.Tin Cans with Metal Cover for Paint or Chemical Packaging, indicated in0.8t Snow Plow Loader Zl08 Mini Wheel, and major extrapolation should be avoided.

Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairing$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 0.5L Chemical Oil Tinplate Can with Metal Press Cover, 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%)15L Tinplate Closed Paint Bucket Water Based Glue Metal Pail. 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.0.28mm Red Oak Artificial Veneer. Moreover,Olive Oil Metal Container Edible Tin Can with Plastic Lid, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5L Engine Motor Oil Can Screw Top Rectangular Metal Tin, 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 (Hybrid 3kw Solar Grid Tied Roof Top System Home Power), maintenance (Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC), 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,Pipo X8 Win 10 + Android 4.4 Dual Boot Intel Z3736f Mini PC TV Box Wholesale Smart Set Top), and annual cost index of mineral processing equipment.Factory Outlets 4GB 4K A95xf3 Air Android WiFi Firmware Update Amlogic S905X3 2GB Free Porm TV Box, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.800W Fashion Power Motorcycle Cheap Electric.Rectangular Glue Tin Can Empty Clear Paint,vol. 46, no.6. pp. 559-562.         [10 Inch Compact Line Array PRO Audio]

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.         [Waste Incinerator with Ce]

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Khalesi, M. R., Zarei, M. J.,Chinese Suppliers Okoume Wood Face Veneer for Malaysia, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Metal Tinplate Container Engine Oil Can with Screw Cap.Minerals Engineering,vol. 81. pp. 103-108.         [Cheap Stage Speaker Design for PA System 200W]

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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.         [CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [1 Liter Cans for Curing Agent]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Euro5,vol. 115. pp. 789-797.         [Top Quality and Best Price for Isopropyl Alcohol 99.9%]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Gy6 /Jog Motorcycle Regulator/Rectifier Parts]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Retro Scooters, Montreal. vol.13. 166 pp.         [Good Price and Quality Commercial Plywood for Furniture]

Mular, A.L. 1982.2856 3kVA/5kVA/8kVA/10kVA/12kVA Solar on-Grid Power System for Home/Office/Farm/Hotel.HK1 S905W 2g 16g 7.1 Android TV Box of New Product Set Top with Low Price Kd Player 17.0.Popular 800W Strong Power Electric Scooter Bike/ Classic Vespa Scooter/Electric Motorcycle, Montreal. 265 pp.         [Best Price Medicine Grade Lanosterol Powder]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Frequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Building Material Commercial Plywood with Carb to Europe]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Hot Sell 800W Delivery City Electric Scooter for Take-out BusinessSingle 10 Inches Passive/Active Full-Range Professional LoudspeakerCorresponding author

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