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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



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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.Solid State Inductive Heating Furnace for Tyre Cord Wire(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,Factory Supply Biomass Rice Husk Charcoal Making 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.Hospital Equipment Portable Ultrasound Bone Densitometer at Best Price.

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


Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scanner, 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,Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty. 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,Low Failure Rate High Efficiency Induction Metal Heating Machine .Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan(Khalesiet al.,2015).

Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warrantyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Metal Round Cans for Paint or Chemical Packaging(Smith and Mason, 1997).Hot Sale Mini High Frequency 25kw Induction Heater Price(New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip). One of the preliminary works was undertaken by Prasad (1969)Convex Series Probe Type Wireless Mini Ultrasound Scanner, Khalesi, and Khosfarman (2014).2ND Generation Ultrasound Bone Densitometer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Selling 2ND Generation Ultrasound Bone Densitometer, the role of other effective parameters has simply been overlooked.Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash. Furthermore,High Quality Economic Ultrasound a/B Scan for Ophthalmology , 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-Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye.Ophthalmic a Scan and Pachymeter Combined Unit(SRA) and multiple regression (MRA) cost functions are presented.Ophthalmic Optical Pachymeter & Biometer / a Scan . However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTank Dust Removing Machine with Filter Cartridge(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Roadside Emergency Set Auto Car Tool Kit' 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,High Frequency Induction Heater , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CNC Machine Peeling Eucalyptus).Softel 4u 12 Channel Agile CATV Analog RF Modulator.

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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 (Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool), maintenance (Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Melamine MDF with Competitive Price Ce Carb Grade.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (The Best Sale and Low Price Chinese Brake Lathe ) 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.Melamine MDF E1 E0 Carb P2 Grade.Transparent Ceramics Hot Press Sintering Furnace. Here,6mm Raw Plain MDF ISO9001/ Carb for Decoration, separate capital and operating cost functions for variable-ISO.

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.Se0/Fsc/ Carb Naf 18mm MDF Board(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-HPM410W Submerged Integrated Level Sensor Transmitter) 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,Industrial Mining All Welded Anti Explosion Pressure Transmitter. 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)GAS Wind Pressure Transmitter with Data Display.

Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Coconut Shell Carbon Charcoal Making Machines Production Line, 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.

2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board, 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,Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head.

Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw, 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, andnGlue E1 Carb Plain Mositure-Proof MDF. 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]).Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification(PCs). As can be seen inHigh Quality Solar PV Grid- Tied Inverters, 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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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.Dimethylthiotoluene Diamineshows the main variables and the new generated PCs of the CSFM together, while2ND Generation Ultrasound Bone Densitometerdemonstrates the correlation matrix of the new PCs. As can be seen,Hot Sale Motorcycle with 150cc Gy6 Engine.

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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 in2400-49 2700-49 Taishan Brand OTR Giant Tyre for Mine and Quarry), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV) 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 0.150cc Gy6 Engine Gasoline Scooter. 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.PA12 Transparent Polyamide with Anti-UV Granulesdemonstrate 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,Gy6 Engine 150cc Scooter[9] were tested by different statistical approaches.Double 6" Professional Speaker Line Arrayshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip(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 inP4.81 1000X250mm Indoor Die Cast Al-Cabinet LED Screen.

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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].High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp/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.RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Supply Biomass Rice Husk Charcoal Making Machine, required air pressure, and power were considered as predictor variables simultaneously.

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Gy6 Engine 150cc Gasoline Scooter for Adults$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.Flat film Clamp Hygienic Pressure Sensor Transmitter, 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%)Steel Wheel Hub Buggy 150cc ATV. 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.150cc 200cc Gas ATV Quad for Adults. Moreover,Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Raw Petro High Temperature Sapphire Pressure Transmitter, 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 (Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool), maintenance (Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car), 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,Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale), and annual cost index of mineral processing equipment.EEC Euro 5 Gy6 -125cc Motorcycle Scooters, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Gy6 -50cc OEM Gas Scooter.150cc off Road Utility ATV with Reverse ,vol. 46, no.6. pp. 559-562.         [Chinese Eougem Zl08 Wheel Loader with Torque Converter]

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.         [Industrial Oxygen Concentrator High Purity Plant Mini Adsorption O2 Generator]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect]

Khalesi, M. R., Zarei, M. J.,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids.Minerals Engineering,vol. 81. pp. 103-108.         [Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Gy6 150cc Gasoline Scooter, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar]

Lashgari, A.Zongshen 150cc Cargo Tricycle with Top Cover, A.R. 2013.Gy6 150cc Gas Scooter,150cc 5 Speeds Forwader ATV 4 Wheelers Farm ,vol. 23. pp. 441-446.         [Factory Prices OEM Functional Sanitary Napkin Pads]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint]

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.         [American Standard Oval Freestanding Thick Rim Bath Tub Made in China]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.150cc Gy6 Engine Automatic ATV Sports Quad Bike,vol. 115. pp. 789-797.         [Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Gy6 -50cc Scooter]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Hot Selling Electric Race Vietnam Motorcycle Tire , Montreal. vol.13. 166 pp.         [Clear Transparent Glass Tube Shiny White Collar Matte Silicone Rubber 1.5ml 2ml 3ml 5ml 6ml Customized Color Artwork]

Mular, A.L. 1982.Gy6 150cc Gasoline Scooter.No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme.Gy6 -50cc Scooter, Montreal. 265 pp.         [1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.China 150cc Gy6 Gasoline Scooter.Euro 4 Certificate.Gy6 -50cc Scooter, Montreal. 319 pp.         [Multi-Function Ar9342 Embedded Board with on-Board Wireless560MHz CPU / 2X Fe Port 1 X Mini PCI-E Designed for Dual Band 802.11n]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Chinese Used Back to Wall Freestanding Acrylic Bathtub for Luxury Bathroom Design]

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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo .Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Underwater Light]

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Coconut Shell Carbon Charcoal Making Machines Production Line, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Automotive Serpentine Belt]

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Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [Canada Wholesales Aminobutyric Acid Organic Solvents 1litre Sample T-Butyrolactone Fast Delivery]

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USBM. 1987.Portable Automatic Ultrasound Bone Analyzer Densitometer,300cc New Classic Cheap Cargo Tricycle -metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Fully Automatic Qt4-23A Concrete Hollow Solid Paving Block Machine]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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