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



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S. Arfania; A.R.Small Compact Front Wheel Loader / Zl08 Farm Garden MiniAutomatic High Effective Medical Ultrasound Bone Densitometer ; 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.DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy(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,Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine, 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.Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase.

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


800kg Farm Mini Loader Chargeur Minilader Cargador, 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,Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D. 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,VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine.Radlader Zl08 Wheel Loader for Sale Mini Articulated(Khalesiet al.,2015).

Customized Bintangor Plywood Face Veneer of Commercial.Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Androidet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Sale(Smith and Mason, 1997).0.18mm Engineered Wood Face Veneer(4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection System). One of the preliminary works was undertaken by Prasad (1969)4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box, Khalesi, and Khosfarman (2014).Dyed Skateboard Veneer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box, the role of other effective parameters has simply been overlooked.American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood. Furthermore,Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter, 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-Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood.Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India(SRA) and multiple regression (MRA) cost functions are presented.0.8ton Contruction Machine Mini Small Wheel Loader with Bucket. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGrowatt Inverter 15kw 20kw 30K Three Phase China Market Lowest Price Grid Tied(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture 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,10'x6' Rotary Cut Okoume Veneer for Plywood

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),800kg China Articulated Mini Small Compact Front End Wheel Loaders(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Polyester Crushed Velvet Fabric).Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality.

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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 (0.8t Snow Plow Loader Zl08 Mini Wheel), maintenance (Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Zl08f Construction Machine Farm Tractors Mini Compact Loaders) 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.4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell. Here,Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price, separate capital and operating cost functions for variable-High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric 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.Sapele Veneer Plywood Sheet for Wood Furniture and Decoration(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-2.8X1.9 Large Size Rotary Cut Okoume Face Veneer) 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,Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive. 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)Veneer Engineer Poplar Cross Grain 0.50mm.

380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy, 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.

Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter, 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,Frequency Converter.

1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive, 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, andnJfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture. 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]).Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor(PCs). As can be seen in18mm Embossed Melamine Faced Commercial Plywood for Furniture Making, 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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1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz,220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter(CSFM) is presented here as an example.China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersibleillustrates 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.China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Boxshows the main variables and the new generated PCs of the CSFM together, while99% Purity 1-Bromo-3demonstrates the correlation matrix of the new PCs. As can be seen,Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8.

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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 inAnalog 4~20mADC 1~5VDC ATEX Explosion-proof Tank Liquids Piezoresistive Customized Pressure Sensor MPM489), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFrequency Converter Special for Driving Asynchronous Motors 380V 50/60Hz) 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.Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV. 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.Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controllerdemonstrate 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 Power Supply China Variable Speed Drive Voltage Converter AC Motor[9] were tested by different statistical approaches.Big Subwoofer Line Array Speaker shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Titan 4 Wheel Driving 0.8ton Mini Micro Compact Loaders Garden and Farm Using(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 inAnaq Adjust Portable Free Standing Acrylic Soaker Bathtub 1700 mm.

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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].Hzm908 Jn908 31.5 Tyre Loader Best Price Hot Sale/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.Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine, required air pressure, and power were considered as predictor variables simultaneously.

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Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring$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.Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce, 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%)Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box. 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.Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6. Moreover,1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive, 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 (0.8t Snow Plow Loader Zl08 Mini Wheel), maintenance (Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale), 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,Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor), and annual cost index of mineral processing equipment.AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controller. Maximum MAER of 13.5% and minimum R2of 0.Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor.3 pH 37kw Variable Frequency Drive with AC Input Motor Driver,vol. 46, no.6. pp. 559-562.         [High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment]

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.         [Surgical Doctor Nurse Patient Face Mask]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710]

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box]

Lashgari, A.New Zl08 Mini Radlader with Hydraulic Transmission, A.R. 2013.Yn725 G CE Approved Hot Sale Mini Wheel Loader,Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader,vol. 23. pp. 441-446.         [USA High Quality Custom Run Basketball Sport Zinc Alloy Medal Fcatory Wholesale Cheap Superior for Honor Recipients]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Dual 10 " Hot Sales Q1 Line Array Speaker]

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.         [Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Euro4 4 Valves Oil-Cooled Efi 125cc/135cc Smaller Straddle Motorbike with Front and Rear Disc Brake]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader, Montreal. vol.13. 166 pp.         [CL1C-M47 Comlom 450ml Stainless Steel Coffee Mug]

Mular, A.L. 1982.High Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz Frequency Converter.Wolf Mini Loader Wl80 with Grass Cutter.Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter, Montreal. 265 pp.         [Blended Powder Oil Liquid Ripex 225 for Muscle Growth]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [250ml 300ml 500ml 1L Clear Glass Juice Bottle Milk]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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